Prof. Zaid M. Odibat
Al-Balqa Applied University, Department of Mathematics, Jordan
Biography:
Academic Qualification:
Ph. D. University of Jordan / Jordan 2002
M. Sc. University of Jordan / Jordan 1997
B. Sc. Yarmouk University / Jordan 1994
Employment History:
Sep. 2018 - present Professor, Department of Mathematics, Faculty of
Science, Al-Balqa’ Applied University, Jordan
Sep. 2017 – Sep. 2018 Professor, School of Basic Sciences and Humanities,
German Jordanian University, Jordan
Sep. 2015 – Sep. 2016 Vice President for Academic Affairs, Al-Balqa’
Applied University, Jordan
Oct. 2012 - Sep. 2017 Professor, Department of Mathematics, Faculty of
Science, Al-Balqa’ Applied University, Jordan
Sep. 2011 – Sep. 2014 Dean, Faculty of Science, Al-Balqa’ Applied University,
Jordan
Oct. 2012 - Oct. 2013 Lecturer, Department of Mathematics, American
University of Madaba, Jordan
Sep. 2010 - Sep. 2011 Dean, Prince Abdullah Bin Ghazi Faculty of Science and
IT, Al-Balqa’ Applied University, Jordan
Sep. 2009 – Oct. 2012
Associate Professor, Department of Applied Science
Prince Abdullah Bin Ghazi Faculty of Science and IT,
Al-Balqa’ Applied University, Jordan
Sep. 2008 - Sep. 2009 Invited Professor, Faculty of Science and Technology,
University of Le Havre, France
Sep. 2007 -Sep. 2008 Vice Dean of Prince Abdullah Bin Ghazi Faculty of
Science and IT, Al-Balqa’ Applied University, Jordan
Sep. 2005 - Sep. 2007
Head of Department of Basic Science, Prince Abdullah
Bin Ghazi Faculty of Science and IT, Al-Balqa’ Applied
University, Jordan
2002 - Aug. 2008 Assistant Professor, Prince Abdullah Bin Ghazi Faculty
of Science and IT, Al-Balqa’ Applied University, Jordan
1997-2002
Mathematics Lecturer, Prince Abdullah Bin Ghazi
Faculty of Science and IT, Al-Balqa’ Applied
University, Jordan
1994-1997 Mathematics teacher, Ministry of Education
Specialization: Applied Mathematics
Research Interest: Numerical analysis, Ordinary and partial differential
equations, Fractional calculus, Numerical solution of fractional nonlinear
systems, Control theory, Nonlinear dynamics, Chaos, Optimization
techniques.
Academic Honors and Grants:
- A scholarship from Al-Balqa’ Applied University to get the Ph. D. degree in
Applied Mathematics from the University of Jordan (1998-2002).
- Scopus award for Jordanian Scientists (2009).
- The Second “International Association for Mathematics and Computers in
Simulation” IMACS 2009 Most Successful Paper Award
- Classified as one of the top scientists in the world in Fractional Differential
Equations according to Thomson ISI Web of knowledge (2010).
- The h Index=43 according to Scopus Database (2020).
- The Islamic Educational, Scientific and Cultural Organization Prize
“ISESCO Prize in Sciences and Technology” (2010).
- Thomson Reuters Highly Cited Researcher (2015, 2016, 2017,2018)
Editorial activities:
Managing Editor: Arab Journal of Mathematics and Mathematical Sciences
Editor: Jordan Journal of Mathematics and Statistics
Honor Member: International Association for Mathematics and Computers in
Simulation (IMACS)
Membership:
- Jordan Research Group in Applied Mathematics.
- Member of the Jordanian Mathematics Society.
Reviewer:
- Applied Mathematics and Computations (Elsevier)
- Applied Mathematics Letters (Elsevier)
- Applied Mathematical Modeling (Elsevier)
- Choas, Siltons and Fractals (Elsevier)
- Communications in Nonlinear Science and Numerical Simulation (Elsevier)
- Physics Letters A (Elsevier)
- Journal of Computational & Applied Mathematics (Elsevier)
- International Journal of Computer Mathematics (Taylor & Francis)
- Numerical Methods for Partial Differential Equations (Wiley)
- Computers and Mathematics with Applications (Elsevier)
- International Journal of Nonlinear Sciences & Numerical Simulation (Freund
Publishing House Ltd)
- Nonlinear Analysis: Theory, Methods and Applications (Elsevier)
- Nonlinear Analysis: Real World Applications (Elsevier)
- Mathematical Methods in The Applied Sciences (Wiley)
- Communications in Nonlinear Science and Numerical Simulation (Elsevier)
- Nonlinear Dynamics (Springer Netherlands)
- Numerical Algorithms (Springer Netherlands)
- Physica D: Nonlinear Phenomena (Elsevier)
- Journal of Mathematical Analysis and Applications (Elsevier)
- Physica Scripta (IOPscience)
- International Journal of Bifurcation & Chaos (World Scientific)
- Journal of Computational Physics (Elsevier)
- Computer Physics Communications (Elsevier)
- Referee for several international and local journals.
Conference / Workshop Organization:
Co-Chair:
- The International Conference on Fractional Differentiation and its
Applications (ICFDA) , 2018, Amman, Jordan.
Program Committee:
- The Second Jordanian International Conference on Computer
Science and Engineering, Jordan, December 2006.
- The Fourth International Workshop on Advanced Computation for
Engineering Applications (ACEA08), July 2008, Jordan.
Scientific Committee:
- Complex Systems and Self-organization Modeling, Workshop at 20th
European Simulation and Modeling Conference, Toulouse France,
October 23-25, 2006.
- The 2nd International Symposium on Nonlinear Dynamics,
Shanghai, China, 27-30 Oct., 2007.
- Emergent Properties in Natural and Artificial Complex Systems,
Worshop at European Conference of Complex Systems, Dresden,
Germany, October 4-5, 2007.
- The 3rd International Conference on Complex Systems and
Applications, University of Le Havre, France, June 29 - July 02,
2009.
- Complex System and Self-Organization Modeling, Workshop at
ESM'2009, Leicester, United Kingdom, Oct. 26-28, 2009.
Graduate Student Supervision/Co-supervision:
- “Modified homotopy analysis method: Application for linear and nonlinear ODEs
of fractional order” by Ahmad El-Ajou (The University of Jordan), Ph.D.
dissertation defended on 2009.
- "Solving reactor neutron diffusion equations for different geometries using the
homotopy perturbation method" by kafa khaswneh (Al-Balqa Applied University),
M.Sc. thesis defended on 2009.
- “Functional Optimization using Genetic Algorithm” by Mohamed Daha
(University of Le Havre, France), M.Sc. thesis defended on 2009.
- “Approximate Analytical solutions for Fractional Differential Equations” by M.
Hamarsheh (Universiti Sains Malaysia), Ph. D. Thesis, 2015.
- “On the chaotic dynamics and synchronization of fractional-order discrete-time
systems” by Souaad Azil (The University of Jordan), Ph.D. Thesis, 2019.
- "The optimized homotopy analysis method for solving nonlinear partial differential
equations" by Lina Awad (Al-Balqa Applied University), M.Sc. Thesis, 2020.
- “The optimized decomposition method for handling initial value problems of
fractional ordinary and partial differential equations” by Marwa Laoubi (The
University of Jordan), Ph.D. Thesis, 2020.
- “An optimized computational algorithm of homotopy analysis method for solving
nonlinear coupled systems of partial differential equations” by Alaa Al-Qudah
(The University of Jordan), Ph.D. Thesis, 2020.
- “Approximate Solutions for Differential Equations with the Generalized CaputoType Fractional Derivative” by Wafia Fafa (The University of Jordan), Ph.D.
Thesis, 2021.
- “Numerical methods for solving fractional differential equations with variable
order” by Amina Zerari (The University of Jordan), Ph.D. Thesis, 2021.
- “Numerical simulation of nonlinear fractional order systems involving generalized
Caputo-type derivatives” by Rasha Hajaj (The University of Jordan), Ph.D. Thesis,
2022.
- “Numerical approximations of fractional differential equations with generalized
Caputo-type derivatives” by Jana Alawabdeh (Al-Balqa Applied University),
M.Sc. Thesis, 2022.
Publications:
(a) Journal Papers
1. A. Alawneh, Z. Odibat, K. Nishimoto, Negative power series solutions for
a class of linear ordinary differential equations using N-fractional method,
Journal of Fractional Calculus, 21 (2002), 29-39.
2. Z. Odibat, N. Shawagfeh, N-Fractional calculus method to a class of linear
integro-differential equations, Journal of Fractional Calculus, 22 (2002),
83-89.
3. Z. Odibat, Particular solution to the fractional differential equation
( R , r R Z , a ; const.), Journal of Fractional Calculus, 22
(2002), 77-81.
4. Z. Odibat, A. Alawneh, Z-function and solutions of fractional differential
equations, Mathematica Balkanica, Vol. 18 (2004), 397-404.
5. Z. Odibat, A. Alawneh, Fractional Green’s function for the fractional
differential equation with constant coefficients, Journal of Concrete and
Applicable Mathematics, Vol. 2, No. 4 (2004).
6. Z. Odibat, R. Al-Lamy, K. Nishimoto, Negative power series solutions for
a class of differential equations including the ones of Legendre and
Chebyshev, Journal of Fractional Calculus, Vol.28 (2005).
7. Z. Odibat, S. Momani, Application of variational iteration method to
nonlinear differential equations of fractional order, International Journal of
Nonlinear Sciences & Numerical Simulation, 7(1) (2006), 27-35.
8. S. Momani, Z. Odibat, Analytical solution of a time-fractional Navier–
Stokes equation by Adomian decomposition method, Applied Mathematics
and Computation,177(2) (2006), 488-494.
9. Z. Odibat, Approximations of fractional integrals and Caputo fractional
derivatives, Applied Mathematics and Computation 178(2) (2006), 527-533.
10. Z. Odibat, Rectangular decomposition method for fractional diffusionwave equations, Applied Mathematics and Computation 179 (1) (2006), 92-97.
11. Z. Odibat, S. Momani, Approximate solutions for boundary value
problems of time-fractional wave equation, Applied Mathematics and
Computation, 181(1) (2006), 767-774.
12. S. Momani, Z. Odibat, Analytical approach to linear fractional partial
differential equations arising in fluid mechanics, Physics Letters A, 355(4-
5) (2006), 271-279.
13. S. Momani, S. Abuasad and Z. Odibat, Variational iteration method for
solving nonlinear boundary value problems, Applied Mathematics and
Computation,183(2) (2006), 1351-1358.
14. Z. Odibat, A reliable modification of the rectangular decomposition
method, Applied Mathematics and Computation 183(2), (2006), 1226-1234.
15. Z. Odibat, S. Momani, Analytical solution for the time-fractional NavierStokes equation, Advances in Theoretical and Applied Mathematics, 1(2)
(2006), 97-107.
16. S. Momani, Z. Odibat, Numerical comparison of methods for solving
linear differential equations of fractional order, Chaos, Solitons & Fractals,
31 (5) (2007), 1248-1255.
17. S. Momani, Z. Odibat, Numerical approach to differential equations of
fractional order, Journal of Computational and Applied Mathematics,
207(1) (2007), 96-110.
18. S. Momani, Z. Odibat, Homotopy perturbation method for nonlinear
partial differential equations of fractional order, Physics Letters A, 365(5-6)
(2007), 345-350.
19. Z. Odibat, S. Momani, A reliable treatment of homotopy perturbation
method for Klein Gordon equations, Physics Letters A, 365(5-6) (2007),
351-357.
20. Z. Odibat, A new modification of the homotopy perturbation method for
linear and nonlinear operators, Applied Mathematics and Computation,
189(1) (2007), 746-753.
21. Z. Odibat, S. Momani, Fractional Green function for linear time-fractional
inhomogeneous partial differential equations in fluid mechanics, Journal of
Applied Mathematics and Computing, 24 (1) (2007), 167-178.
22. Z. Odibat, S. Momani, Numerical solution of Fokker–Planck equation with
space- and time-fractional derivatives, Physics Letters A, 369(5-6) (2007),
349-358.
23. S. Momani, Z. Odibat, Comparison between homotopy perturbation
method and the variational iteration method for linear fractional partial
differential equations, Computers and Mathematics with Applications,
54(7-8) (2007), 910-919.
24. Z. Odibat, N. Shawagfeh, Generalized Taylor's formula, Applied
Mathematics and Computation, 186(1) (2007), 286-293.
25. Z. Odibat, Solitary solutions for the nonlinear dispersive K(m,n) equations
with fractional time derivatives, Physics Letters A, 370(3-4) (2007), 295-301.
26. S. Momani, Z. Odibat, V. Erturk, Generalized differential transform
method for solving a space- and time-fractional diffusion-wave equation,
Physics Letters A, 370(5-6) (2007), 379-387.
27. Z. Odibat, S. Momani, Numerical methods for nonlinear partial differential
equations of fractional order, Applied Mathematical Modelling, 32(1)
(2008), 28-39.
28. Z. Odibat, S. Momani, Modified homotopy perturbation method:
Application to quadratic Riccati differential equation of fractional order,
Chaos, Solitons & Fractals, 36(1) (2008), 167-174.
29. S. Momani, Z. Odibat, A. Alawneh, Variational iteration method for
solving the space- and time-fractional KdV equation, Numerical Methods
for Partial Differential Equations, 24(1) (2008), 262-271.
30. Z. Odibat, S. Momani, A generalized differential transform method for
linear partial differential equations of fractional order, Applied Mathematics
Letters, 21(2) (2008), 194-199.
31. Z. Odibat, S. Momani, V. Erturk, Generalized differential transform
method: Application to differential equations of fractional order, Applied
Mathematics and Computation, 197 (2) (2008), 467-477.
32. Z. Odibat, Compact and noncompact structures for nonlinear fractional
evolution equations, Physics Letters A, 372(8) (2008), 1219-1227.
33. V. Erturk, S. Momani and Z. Odibat, Application of generalized
differential transform method to multi-order fractional differential
equations, Communications in Nonlinear Science and Numerical
Simulation, 13(8) (2008), 1642-1654.
34. Z. Odibat, S. Momani, An algorithm for the numerical solution of
differential equations of fractional order, Journal of Applied Mathematics
and Informatics, 26(1-2) (2008), 15-27.
35. Z. Odibat, Construction of solitary solutions for nonlinear dispersive
equations by varaitional iteration method, Physics Letters A, 372 (22)
(2008), 4045-4052.
36. S. Momani, Z. Odibat, A novel method for nonlinear fractional partial
differential equations: Combination of DTM and generalized Taylor's
formula, Journal of Computational and Applied Mathematics, 220 (1-2)
(2008), 85-95.
37. Z. Odibat, Reliable approaches of variational iteration method for
nonlinear operators, Mathematical and Computer Modelling, 48 (1-2)
(2008), 222-231.
38. Z. Odibat, Differential transform method for solving Volterra integral
equation with separable kernels, Mathematical and Computer Modelling,
48 (7-8) (2008), 1144-1149.
39. S. Momani, Z. Odibat, I. Hashim, Algorithms for nonlinear fractional
partial differential equations: A selection of numerical methods,
Topological Methods in Nonlinear Analysis, 31 (2) (2008), 211-226.
40. Z. Odibat, S. Momani, Applications of variational iteration and homotopy
perturbation methods to fractional evolution equations, Topological
Methods in Nonlinear Analysis, 31 (2) (2008), 227-234.
41. Z. Odibat, S. Momani, Analytical comparison between the homotopy
perturbation method and variational iteration method for differential
equations of fractional order, International Journal of Modern Physics B,
22 (23) (2008), 1-18.
42. S. Momani, Z. Odibat, Numerical Solution of the space-time fractional
advection-dispersion equation, Numerical Methods for Partial Differential
Equations, 24(6) (2008), 1416-1429.
43. Z. Odibat, S. Momani, A. Alawneh, Approximate analytical solution of the
space- and time- fractional Burgers equations, Journal Européen des
Systèmes Automatisés, 42(6-8) (2008), 627-638.
44. Z. Odibat, S. Momani, Fractional Green's function for fractional partial
differential equations, Journal Européen des Systèmes Automatisés, 42(6-8)
(2008), 639-651.
45. Z. Odibat, Compact structures in a class of nonlinearly dispersive
equations with time-fractional derivatives, Applied Mathematics and
Computation, 205(1) (2008), 273-280.
46. Z. Odibat, Exact solitary solutions for variants of the KdV equations with
fractional time derivatives, Chaos, Solitons & Fractals, 40(3) (2009), 1264-1270.
47. Z. Odibat, Computational algorithms for computing the fractional
derivatives of functions, Mathematics and Computers in Simulation, 79(7)
(2009), 2013-2020.
48. Z. Odibat, Computing eigenelements of boundary value problems with
fractional derivatives, Applied Mathematics and Computation, 215(8)
(2009), 3017-3028.
49. Z. Odibat, S. Momani, The variational iteration method: An efficient
scheme for handling fractional partial differential equations in fluid
mechanics, Computers and Mathematics with Applications, 58 (11-12)
(2009), 2199-2208.
50. K. Khasawneh, S. Dababneh, Z. Odibat, A solution of the neutron
diffusion equation in hemispherical symmetry using the homotopy
perturbation method, Annals of Nuclear Energy, 36(11-12) (2009), 1711-1717.
51. Z. Odibat, On the approximations of integrals using homotopy perturbation
method, International Journal of Computer Mathematics, 87(1) (2010), 53–62.
52. M. Zurigat, S. Momani, Z. Odibat, A. Alawneh, The homotopy analysis
method for handling systems of fractional differential equations, Applied
Mathematical Modelling, 34(1) (2010), 24-35.
53. Z. Odibat, S. Momani, Hang Xu, A reliable algorithm of homotopy
analysis method for solving nonlinear fractional differential equations,
Applied Mathematical Modelling, 34(3) (2010), 593-600.
54. Z. Odibat, Analytic study on linear systems of fractional differential
equations, Computers and Mathematics with Applications, 59 (3) (2010),
1171-1183.
55. Z. Odibat, C. Bertelle, M. A. Aziz-Alaoui, G. H. Duchamp, A Multi-step
differential transform method and application to non-chaotic or chaotic
systems, Computers and Mathematics with Applications, 59 (4) (2010)
1462-1472.
56. Z. Odibat, A study on the convergence of variational iteration method,
Mathematical and Computer Modelling, 51(9-10) (2010), 1181-1192.
57. Z. Odibat, N. Corson, M. A. Aziz-Alaoui, C. Bertelle, Synchronization of
chaotic fractional-order systems via linear control, International Journal of
Bifurcation and Chaos, 20(1) (2010), 81-97.
58. Z. Odibat, Adaptive feedback control and synchronization of non-identical
chaotic fractional order systems, Nonlinear Dynamics, 60(4) (2010), 479–487.
59. A. El-Ajou, Z. Odibat, S. Momani, A. Alawneh, Construction of analytical
solutions to fractional differential equations using homotopy analysis
method, IAENG International Journal of Applied Mathematics, 40(2)
(2010), 43-51.
60. Z. Odibat, A study on the convergence of homotopy analysis method,
Applied Mathematics and Computation, 217(2) (2010), 782-789.
61. Z. Odibat, On Legendre polynomials approximation with the VIM or
HAM for numerical treatment of nonlinear fractional differential equations,
Journal of Computational and Applied Mathematics, 235(9) (2011), 2956-2968.
62. S. Dababneh, K. Khasawneh, Z. Odibat, An alternative solution of the
neutron diffusion equation in cylindrical symmetry, Annals of Nuclear
Energy, 38(5) (2011), 1140-1143.
63. V. Erturk, Z. Odibat, S. Momani, An approximate solution of a fractional
order differential equation model of human T-cell lymphotropic virus I
(HTLV-I) infection of CD4 T-cells, Computers and Mathematics with
Applications, 62(3) (2011), 996-1002.
64. V. Erturk, Z. Odibat, S. Momani, The multi-step differential transform
method and its application to determine the solutions of non-linear
oscillators, Advances in Applied Mathematics and Mechanics, 4(4) (2012),
422-438.
65. Z. Odibat, A note on phase synchronization in coupled chaotic fractional
order systems, Nonlinear Analysis: Real World Applications, 13(2) (2012),
779-789.
66. V. Erturk, S. Momani and Z. Odibat, Application of Multi-step differential
transform method for the analytical and numerical solutions of the density
dependent Nagumo telegraph equation, Romanian Journal of Physics, 57(7-
8) (2012), 1065-1078.
67. Z. Odibat, A. Bataineh, An adaptation of HAM for reliable treatment of
strongly nonlinear problems: Construction of homotopy polynomials,
Mathematical Methods in the Applied Sciences, 38(5) (2015), 991-1000.
68. A.Ouannas, Z. Odibat, Generalized synchronization of different dimensional
chaotic dynamical systems in discrete-time, Nonlinear Dynamics, 81(1)
(2015), 765-771.
69. M. Hamarsheh, A. Ismail, Z. Odibat, Optimal homotopy asymptotic method
for solving fractional relaxation-oscillation equation, Journal of Interpolation
and Approximation in Scientific Computing, 2015(2) (2015), 98-111.
70. A. Ouannas, Z. Odibat, On inverse generalized synchronization of
continuous chaotic dynamical systems, International journal of Applied and
Computational Mathematics, 2(1) (2016), 1-11.
71. M. Hamarsheh, A. Ismail, Z. Odibat, An analytical solution for fractional
order Riccati equations using optimal homotopy asymptotic method, Applied
Mathematical Sciences,10(23)(2016), 1131-1150.
72. A. Ouannas, Z. Odibat, N. Shawagfeh, A. Alsaedi, B. Ahmad, Universal
chaos synchronization control laws for general quadratic discrete systems,
Applied Mathematical Modelling, 45(2017), 636-441.
73. Z. Odibat, A Riccati equation approach and travelling wave solutions for
nonlinear evolution equations, International Journal of Applied and
Computational Mathematics, 3(1)(2017), 1-13.
74. Z. Odibat, S. Kumar, N. Shawagfeh, A. Alsaedi, T. Hayat, A study on the
convergence conditions of generalized differential transform method,
Mathematical Methods in the Applied Sciences, 40(1)(2017), 40-48.
75. A. Ouannas, G. Grassi, T. Ziar, Z. Odibat, On a function projective
synchronization scheme for non-identical fractional-order chaotic
(hyperchaotic) systems with different dimensions and orders, OptikInternational Journal for Light and Electron Optics, 136(2017), 513-523.
76. S. Kumar, A. Kumar, Z. Odibat, A nonlinear fractional model to describe
the population dynamics of two interacting species, Mathematical Methods
in the Applied Sciences, 40(11) (2017), 4134-4148.
77. Z. Odibat, N. Corson, M.A. Aziz-Alaoui, A. Alsaedi, Chaos in fractional
order cubic Chua system and synchronization, International Journal of
Bifurcation and Chaos, 27(10) (2017), 1750161.
78. A. Ouannas, Z. Odibat, Fractional analysis of co-existence of some types
of chaos synchronization, Chaos, Solitons & Fractals, 105(2017), 215-223.
79. O. Abu Arqub, Z. Odibat, M. Al-Smadi, Computing bifurcations behavior
of time-fractional partial integrodifferential equations of Robin functions in
Hilpert space with error bounds and error estimates, Nonlinear Dynamics,
94(3)(2018), 1819-1834.
80. A, Ouannas, Z. Odibat, A. Alsaedi, A. Hobiny, T. Hayat, Investigation of
Q-S synchronization in coupled chaotic incommensurate fractional order
systems, Chinese Journal of Physics, 56(2018),1940-1948.
81. A. Ouannas, Z. Odibat, N. Shawagfeh, A new Q-S synchronization results
for discrete chaotic systems, Differential Equations and Dynamical
Systems, 27(4)(2019), 413-422.
82. A. Ouannas, M. Abdelli, Z. Odibat, X. Wang, VT. Pham, G. Grassi, A.
Alsaedi, Synchronization control in reaction-diffusion systems: Application
to Lengyel-Epstein system, Complexity, (2019), DOI: https://doi.org
/10.1155/2019/2832781.
83. Z. Odibat, On the optimal selection of the linear operator and the initial
approximation in the application of the homotopy analysis method to
nonlinear fractional differential equations, Applied Numerical Mathematics,
137(2019), 203-212.
84. Z. Odibat, S. Kumar, A robust computational algorithm of homotopy
asymptotic method for solving systems of fractional differential equations,
Journal of Computational and Nonlinear Dynamics, 14(8)(2019), 081004.
85. A. Ouannas, A. Khennaoui, Z. Odibat, V. Pham, G. Grassi, On the
dynamics, control and synchronization of fractional-order Ikeda map,
Chaos, Solitons & Fractals, 123(2019), 108-115.
86. Z. Odibat, D. Baleanu, A linearization‐based approach of homotopy
analysis method for non‐linear time‐fractional parabolic PDEs,
Mathematical Methods in the Applied Sciences, 42(2019), 7222-7232.
87. Z. Odibat, An optimized decomposition method for nonlinear ordinary and
partial differential equations, Physica A: Statistical Mechanics and its
Applications, 541(2020), 123323.
88. Z. Odibat, Fractional power series solutions of fractional differential
equations by using generalized Taylor series, Applied and computational
Mathematics, 19(1)(2020), 47-58.
89. S. Kumar, A. Kumar, Z. Odibat, M. Abdhaifallah, K. Nisar, A comparison
study of two modified analytical approach for the solution of nonlinear
fractional shallow water equations in fluid flow, AIMS Mathematics,
5(4)(2020), 3035-3055.
90. Z. Odibat, N. Shawagfeh, An optimal linearization-based predictorcorrector algorithm for the simulation of nonlinear FDEs, Physica Scripta,
95(2020), 065202.
91. Z. Odibat, An improved optimal homotopy analysis algorithm for
nonlinear differential equations, Journal of Mathematical Analysis and
Applications, 488(2020), 124089.
92. Z. Odibat, A. Alsaedi, T. Hayat, Solitary wave solutions of some nonlinear
physical models using Riccati equation approach, Acta Mathematicae
Applicatae Sinica 36(2020), 401-418.
93. Z. Odibat, D. Baleanu, Numerical simulation of initial value problems with
generalized Caputo-type fractional derivatives, Applied Numerical
Mathematics, 156(2020), 94-105.
94. A. Khennaoui, A. Ouannas, Z. Odibat, V. Pham, G. Grassi, On the threedimensional fractional-order Hénon map with Lorenz-like attractors
International Journal of Bifurcation and Chaos, 20(11)(2020) 2050217.
95. Z. Odibat, The optimized decomposition method for a reliable treatment of
IVPs for second order differential equations, Physica Scripta, 96(9)(2021),
095206.
96. Z. Odibat, D. Baleanu, On a new modification of the Erdélyi–Kober
fractional derivative, Fractals and Fractional 5(3)(2021), 121.
97. Z. Odibat, V. Erturk, P. Kumar, V. Govindaraj, Dynamics of generalized
Caputo type delay fractional differential equations using a modified
Predictor-Corrector scheme, Physica Scripta, 96(12)(2021), 125213.
98. Z. Odibat, A universal predictor–corrector algorithm for numerical
simulation of generalized fractional differential equations, Nonlinear
Dynamics 105(2021), 2363-2374
99. S. Azil, Z. Odibat, N. Shawagfeh, Nonlinear dynamics and chaos in
Caputo-like discrete fractional Chen system, Physica Scripta, 96(9) (2021),
095219.
100. G. Bahia, A.Ouannas, I. Batiha, Z. Odibat, The optimal homotopy
analysis method applied on nonlinear time-fractional hyperbolic partial
differential equations, Numerical Methods for Partial Differential
Equations, 37(3)(2021), 2008-2022.
101. A. Al-Qudah, Z. Odibat, N. Shawagfeh, A linearization-based
computational algorithm of homotopy analysis method for nonlinear
reaction–diffusion systems, Mathematics and Computers in Simulation
194(2022), 505-522.
102. S. Azil, Z. Odibat, N. Shawagfeh, On the dynamics of a Caputo-like
discrete fractional Rössler system: chaos, stabilization and synchronization,
Physica Scripta, 97(3)(2022), 035203.
103. Z. Odibat, D. Baleanu, Nonlinear dynamics and chaos in fractional
differential equations with a new generalized Caputo fractional derivative,
Chinese Journal of Physics 77(2022), 1003-1014.
104. M. Laoubi, Z. Odibat, B.Maayah, A Legendre-based approach of the
optimized decomposition method for solving nonlinear Caputo-type
fractional differential equations, Mathematical Methods in the Applied
Sciences 45(12)(2022), 7307-7321.
105. Z. Odibat, V.S. Erturk, P. Kumar, A. Bin Makhlouf, V. Govindara, An
implementation of the generalized differential transform scheme for
simulating impulsive fractional differential equations, Mathematical
Problems in Engineering 2022(2022), 8280203.
106. W. Fafa, Z. Odibat, N. Shawagfeh, Analytical approximate solutions for
differential equations with generalized Caputo-type fractional derivatives,
International Journal of Applied and Computational Mathematics 8(2022), 231.
107. A. Al-Qudah, Z. Odibat, N. Shawagfeh, An Optimal homotopy analysis
method for handling nonlinear PDEs, International Journal of Applied and
Computational Mathematics 8(2022), 260.
108. A. Zerari, Z. Odibat, N. Shawagfeh, Numerical schemes for variable
exponent fractional-type integral equations, Mathematical Methods in the
Applied Sciences 45(17)(2022), 16001-16013.
109. M. Oqielat, T. Eriqat, O. Oqilat, Z. Odibat, Z. Al-Zhour, I. Hashim,
Approximate solutions of fuzzy fractional population dynamics model,
European Physical Journal Plus 137(2022), 982.
110. M. Laoubi, Z. Odibat, B.Maayah, Effective optimized decomposition
algorithms for solving nonlinear fractional differential equations, Journal of
Computational and Nonlinear Dynamics, 18(2023), 021001.
111. W. Fafa, Z. Odibat, N. Shawagfeh, The homotopy analysis method for
solving differential equations with generalized Caputo-type fractional
derivatives, Journal of Computational and Nonlinear Dynamics, 18(2023),
021004.
(b) Book Chapters
112. Z. Odibat, C. Bertelle, Application of Homotopy Perturbation Method
for Ecosystems Modelling, in the Book “Complex Systems and Selforganization Modelling”, Springer Berlin / Heidelberg, 2009. (ISBN: 978-
3-540-88072-1).
(c) Conference Papers
113. Z. Odibat, A. Alawneh, Z-function and solutions of fractional
differential equations. Presentation at the International Congress
MASSEE'2003. Borovets, Bulgaria, 2003.
114. Z. Odibat, C. Bertelle, Application of homotopy perturbation method for
ecosystems modeling. Proceedings of the 20th annual European Simulation
and Modelling Conference (ESM'2006). Toulouse, France, 2006.
115. Z. Odibat, C. Bertelle, G. Duchamp, Numerical approach for interaction
systems solving using Differential transform method – Application to
Lotka-Voltera System, Presentation at MACIS EcoSummit 2007, Beijing,
China, 2007.
116. Z. Odibat, S. Momani, A. Alawneh, Analytic study on time-fractional
Schrodinger equations: Exact solutions by GDTM, Journal of Physics:
Conference Series, 96 (2008).
117. A. El-Ajou, Z. Odibat, A. Alawneh, Numerical approximation for
population growth model, Proceedings of the Fourth International
Workshop on Advanced Computation for Engineering Applications
(ACEA08), July 23-24, 2008, Jordan.
118. Z. Odibat, A note on chaos control and synchronization of fractional
order systems, The 3rd International Conference on Complex Systems and
Applications, University of Le Havre, Le Havre, Normandy, France, June
29- July 02, 2009.
119. A, Ouannas, Z. Odibat, Reduced-increased synchronization between
fractional chaotic systems with different dimensions and order, Proceedings
of the International Conference on Fractional Differentiation and its
Applications “ICFDA 2018”, Amman, Jordan, July 16-18, 2018.
120. W. Fafa, Z. Odibat, N. Shawagfeh, Analytical approximate solutions for
differential equations with the generalized Caputo-type fractional
derivatives, Proceedings of the first online Yarmouk Mathematics
Conference on Differential Equations: Analysis, Modeling and Numerical
Computations DEAMN-2021, Yarmouk University, Sep. 18-20, 2021.
Conferences and Workshops Attended:
- International Conference on Technology in Mathematics Education,
“ICTME” Beirut-Lebanon, July 5-7, 2000
- International Congress of Mathematical Society of South Eastern Europe
“MASSEE 2003”, Borovets-Bulgaria, September 15-21, 2003
- The 20th annual European Simulation and Modelling Conference
(ESM'2006), Toulouse, France, October 23-25, 2006.
- The Second Jordanian International Conference on Computer Science and
Engineering “JICCSE’2006”, Al-Balqa Applied University, Jordan, 2006.
- The International Symposium on Nonlinear Dynamics “ISND”, Shanghai,
China, 2007.
- The Fourth International Workshop on Advanced Computation for
Engineering Applications (ACEA’2008), Al-Balqa’ Applied University,
Jordan, July 23-24, 2008.
- The 3rd International Conference on Complex Systems and Applications
(ICCSA’2009), University of Le Havre, Le Havre, Normandy, France, June
29- July 02, 2009.
- The First National Conference on Fractional Order Systems and
Applications “SOFA 2010”, Skikda, Algeria, May 18-19, 2010.
- The International Conference on Fractional Differentiation and its
Applications “ICFDA 2018”, Amman, Jordan, July 16-18, 2018.
- The first online Yarmouk Mathematics Conference on Differential
Equations: Analysis, Modeling and Numerical Computations DEAMN-
2021, Yarmouk University, Sep. 18-20, 2021.
Research Visits:
- Invited professor, Le Havre University, Le Havre, France, January-February
2008.
- Invited professor, Le Havre University, Le Havre, France, September 2008-
September 2009.
Invited Talks:
- “Fractional calculus: fractional integrals and derivatives”, Mathematics
department, Le Havre University, Le Havre, France, April 2007.
- "Computational Algorithms for Solving Systems and Evaluating Integrals",
Mathematics department, Le Havre University, Le Havre, France, January
2008.
- “Fractional Calculus: Definitions, Numerical Methods and Applications in
Control Systems and Multi-scale Processes”, LIPN, Paris 13 University,
Paris, France, December 2008.
- Invited plenary speaker on “Notes on Chaos Control and Synchronization of
Chaotic Fractional order systems” at the First National Conference on
Fractional Order Systems and Applications “SOFA 2010”, Skikda, Algeria,
May 2010.