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Author ID: odibat.zaid-m Recent zbMATH articles by "Odibat, Zaid M."
Published as: Odibat, Zaid; Odibat, Zaid M.
Documents Indexed: 90 Publications since 2002
Co-Authors: 40 Co-Authors with 64 Joint Publications
2,631 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

82 Publications have been cited 4,151 times in 2,584 Documents Cited by Year
Generalized Taylor’s formula. Zbl 1122.26006
Odibat, Zaid M.; Shawagfeh, Nabil T.
347
2007
Application of variational iteration method to nonlinear differential equations of fractional order. Zbl 1401.65087
Odibat, Zaid M.; Momani, Shaher
300
2006
Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order. Zbl 1152.34311
Odibat, Zaid; Momani, Shaher
203
2008
Homotopy perturbation method for nonlinear partial differential equations of fractional order. Zbl 1203.65212
Momani, Shaher; Odibat, Zaid
181
2007
Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method. Zbl 1096.65131
Momani, Shaher; Odibat, Zaid
179
2006
Numerical comparison of methods for solving linear differential equations of fractional order. Zbl 1137.65450
Momani, Shaher; Odibat, Zaid
172
2007
Analytical approach to linear fractional partial differential equations arising in fluid mechanics. Zbl 1378.76084
Momani, Shaher; Odibat, Zaid
169
2006
A generalized differential transform method for linear partial differential equations of fractional order. Zbl 1132.35302
Odibat, Zaid; Momani, Shaher
163
2008
Numerical methods for nonlinear partial differential equations of fractional order. Zbl 1133.65116
Odibat, Zaid; Momani, Shaher
160
2008
Numerical approach to differential equations of fractional order. Zbl 1119.65127
Momani, Shaher; Odibat, Zaid
123
2007
The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics. Zbl 1189.65254
Odibat, Zaid; Momani, Shaher
120
2009
Generalized differential transform method for solving a space- and time-fractional diffusion-wave equation. Zbl 1209.35066
Momani, Shaher; Odibat, Zaid; Erturk, Vedat Suat
114
2007
Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations. Zbl 1141.65398
Momani, Shaher; Odibat, Zaid
91
2007
Application of generalized differential transform method to multi-order fractional differential equations. Zbl 1221.34022
Erturk, Vedat Suat; Momani, Shaher; Odibat, Zaid
91
2008
Generalized differential transform method: Application to differential equations of fractional order. Zbl 1141.65092
Odibat, Zaid; Momani, Shaher; Erturk, Vedat Suat
83
2008
A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor’s formula. Zbl 1148.65099
Momani, Shaher; Odibat, Zaid
79
2008
Adaptive feedback control and synchronization of non-identical chaotic fractional order systems. Zbl 1194.93105
Odibat, Zaid M.
77
2010
Analytic study on linear systems of fractional differential equations. Zbl 1189.34017
Odibat, Zaid M.
76
2010
A study on the convergence of variational iteration method. Zbl 1198.65147
Odibat, Zaid M.
71
2010
A multi-step differential transform method and application to non-chaotic or chaotic systems. Zbl 1189.65170
Odibat, Zaid M.; Bertelle, Cyrille; Aziz-Alaoui, M. A.; Duchamp, Gérard H. E.
66
2010
Approximations of fractional integrals and Caputo fractional derivatives. Zbl 1101.65028
Odibat, Zaid
65
2006
A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations. Zbl 1185.65139
Odibat, Zaid; Momani, Shaher; Xu, Hang
65
2010
Synchronization of chaotic fractional-order systems via linear control. Zbl 1183.34095
Odibat, Zaid M.; Corson, Nathalie; Aziz-Alaoui, M. A.; Bertelle, Cyrille
63
2010
Variational iteration method for solving nonlinear boundary value problems. Zbl 1110.65068
Momani, Shaher; Abuasad, Salah; Odibat, Zaid
53
2006
The homotopy analysis method for handling systems of fractional differential equations. Zbl 1185.65140
Zurigat, Mohammad; Momani, Shaher; Odibat, Zaid; Alawneh, Ahmad
53
2010
A note on phase synchronization in coupled chaotic fractional order systems. Zbl 1238.34121
Odibat, Zaid
52
2012
Approximate solutions for boundary value problems of time-fractional wave equation. Zbl 1148.65100
Odibat, Zaid M.; Momani, Shaher
45
2006
Numerical simulation of initial value problems with generalized Caputo-type fractional derivatives. Zbl 1453.65160
Odibat, Zaid; Baleanu, Dumitru
45
2020
A nonlinear fractional model to describe the population dynamics of two interacting species. Zbl 1368.34011
Kumar, Sunil; Kumar, Amit; Odibat, Zaid M.
44
2017
Variational iteration method for solving the space- and time-fractional KdV Equation. Zbl 1130.65132
Momani, Shaher; Odibat, Zaid; Alawneh, Ahmed
43
2008
Differential transform method for solving Volterra integral equation with separable kernels. Zbl 1187.45003
Odibat, Zaid M.
42
2008
Numerical solution of Fokker-Planck equation with space- and time-fractional derivatives. Zbl 1209.65114
Odibat, Zaid; Momani, Shaher
41
2007
A new modification of the homotopy perturbation method for linear and nonlinear operators. Zbl 1122.65092
Odibat, Zaid M.
38
2007
Computational algorithms for computing the fractional derivatives of functions. Zbl 1161.65319
Odibat, Zaid M.
36
2009
Numerical solutions of the space-time fractional advection-dispersion equation. Zbl 1148.76044
Momani, Shaher; Odibat, Zaid
35
2008
A study on the convergence of homotopy analysis method. Zbl 1203.65105
Odibat, Zaid M.
34
2010
A comparison study of two modified analytical approach for the solution of nonlinear fractional shallow water equations in fluid flow. Zbl 1484.76017
Kumar, Sunil; Kumar, Amit; Odibat, Zaid; Aldhaifallah, Mujahed; Nisar, Kottakkaran Sooppy
33
2020
An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus I (HTLV-I) infection of T-cells. Zbl 1228.92064
Ertürk, Vedat Suat; Odibat, Zaid M.; Momani, Shaher
32
2011
An adaptation of homotopy analysis method for reliable treatment of strongly nonlinear problems: construction of homotopy polynomials. Zbl 1318.34021
Odibat, Zaid; Bataineh, A. Sami
32
2015
Numerical solutions of time-fractional partial integrodifferential equations of Robin functions types in Hilbert space with error bounds and error estimates. Zbl 1422.45010
Abu Arqub, Omar; Odibat, Zaid; Al-Smadi, Mohammed
29
2018
A reliable treatment of homotopy perturbation method for Klein-Gordon equations. Zbl 1203.65213
Odibat, Zaid; Momani, Shaher
28
2007
Fractional Green function for linear time-fractional inhomogeneous partial differential equations in fluid mechanics. Zbl 1134.35093
Momani, Shaher; Odibat, Zaid M.
28
2007
Generalized synchronization of different dimensional chaotic dynamical systems in discrete time. Zbl 1347.34086
Ouannas, Adel; Odibat, Zaid
28
2015
On Legendre polynomial approximation with the VIM or HAM for numerical treatment of nonlinear fractional differential equations. Zbl 1210.65132
Odibat, Zaid
24
2011
On the dynamics, control and synchronization of fractional-order Ikeda map. Zbl 1448.93186
Ouannas, Adel; Khennaoui, Amina-Aicha; Odibat, Zaid; Pham, Viet-Thanh; Grassi, Giuseppe
19
2019
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. Zbl 1409.65040
Odibat, Zaid
17
2019
Chaos in fractional order cubic Chua system and synchronization. Zbl 1380.34019
Odibat, Zaid; Corson, Nathalie; Aziz-Alaoui, M. A.; Alsaedi, Ahmed
15
2017
Universal chaos synchronization control laws for general quadratic discrete systems. Zbl 1446.93051
Ouannas, Adel; Odibat, Zaid; Shawagfeh, Nabil; Alsaedi, Ahmed; Ahmad, Bashir
15
2017
An optimized decomposition method for nonlinear ordinary and partial differential equations. Zbl 07527037
Odibat, Zaid
15
2020
Applications of variational iteration and homotopy perturbation methods to fractional evolution equations. Zbl 1172.26303
Odibat, Zaid; Momani, Shaher
14
2008
On inverse generalized synchronization of continuous chaotic dynamical systems. Zbl 1420.37023
Ouannas, Adel; Odibat, Zaid
14
2016
Algorithm for nonlinear fractional partial differential equations: a selection of numerical methods. Zbl 1172.26302
Momani, Shaher; Odibat, Zaid; Hashim, Ishak
13
2008
A new Q-S synchronization results for discrete chaotic systems. Zbl 1432.93205
Ouannas, Adel; Odibat, Zaid; Shawagfeh, Nabil
13
2019
A linearization-based approach of homotopy analysis method for non-linear time-fractional parabolic PDEs. Zbl 1444.35024
Odibat, Zaid; Baleanu, Dumitru
12
2019
Fractional analysis of co-existence of some types of chaos synchronization. Zbl 1380.93134
Ouannas, Adel; Odibat, Zaid; Hayat, Tasawar
12
2017
Reliable approaches of variational iteration method for nonlinear operators. Zbl 1145.65314
Odibat, Zaid M.
10
2008
A study on the convergence conditions of generalized differential transform method. Zbl 1354.26013
Odibat, Zaid M.; Kumar, Sunil; Shawagfeh, Nabil; Alsaedi, Ahmed; Hayat, Tasawar
10
2017
Solitary solutions for the nonlinear dispersive \(K(m,n)\) equations with fractional time derivatives. Zbl 1209.37090
Odibat, Zaid M.
9
2007
Compact and noncompact structures for nonlinear fractional evolution equations. Zbl 1217.81064
Odibat, Zaid M.
9
2008
Construction of solitary solutions for nonlinear dispersive equations by variational iteration method. Zbl 1220.35143
Odibat, Zaid M.
9
2008
Fractional power series solutions of fractional differential equations by using generalized Taylor series. Zbl 1455.34009
Odibat, Zaid
9
2020
Exact solitary solutions for variants of the KdV equations with fractional time derivatives. Zbl 1197.65111
Odibat, Zaid M.
9
2009
Computing eigenelements of boundary value problems with fractional derivatives. Zbl 1180.65096
Odibat, Zaid M.
8
2009
Analytical comparison between the homotopy perturbation method and variational iteration method for differential equations of fractional orders. Zbl 1180.65178
Odibat, Zaid; Momani, Shaher
8
2008
Rectangular decomposition method for fractional diffusion-wave equations. Zbl 1100.65125
Odibat, Zaid M.
7
2006
Compact structures in a class of nonlinearly dispersive equations with time-fractional derivatives. Zbl 1157.65073
Odibat, Zaid M.
6
2008
Construction of analytical solutions to fractional differential equations using homotopy analysis method. Zbl 1229.65143
El-Ajou, Ahmad; Odibat, Zaid; Momani, Shaher; Alawneh, Ahmad
6
2010
On the three-dimensional fractional-order Hénon map with Lorenz-like attractors. Zbl 1452.37043
Khennaoui, Amina-Aicha; Ouannas, Adel; Odibat, Zaid; Pham, Viet-Thanh; Grassi, Giuseppe
5
2020
An improved optimal homotopy analysis algorithm for nonlinear differential equations. Zbl 1436.65154
Odibat, Zaid
5
2020
A Riccati equation approach and travelling wave solutions for nonlinear evolution equations. Zbl 1392.35065
Odibat, Zaid
5
2017
The optimal homotopy analysis method applied on nonlinear time-fractional hyperbolic partial differential equation. Zbl 07776056
Bahia, Ghenaiet; Ouannas, Adel; Batiha, Iqbal M.; Odibat, Zaid
4
2021
A reliable modification of the rectangular decomposition method. Zbl 1109.65118
Odibat, Zaid M.
3
2006
Synchronization control in reaction-diffusion systems: application to Lengyel-Epstein system. Zbl 1420.35131
Ouannas, Adel; Abdelli, Mouna; Odibat, Zaid; Wang, Xiong; Pham, Viet-Thanh; Grassi, Giuseppe; Alsaedi, Ahmed
3
2019
Negative power series solutions for a class of linear ordinary differential equations using N-fractional method. Zbl 1007.34003
Alawneh, Ahmed; Odibat, Zaid; Nishimoto, Katsuyuki
2
2002
Investigation of Q-S synchronization in coupled chaotic incommensurate fractional order systems. Zbl 07820697
Ouannas, Adel; Odibat, Zaid; Alsaedi, Ahmed; Hobiny, Aatef; Hayat, Tasawar
2
2018
A new fractional derivative operator with generalized cardinal sine kernel: numerical simulation. Zbl 07704432
Odibat, Zaid; Baleanu, Dumitru
2
2023
A linearization-based computational algorithm of homotopy analysis method for nonlinear reaction-diffusion systems. Zbl 07478811
Al-Qudah, Alaa; Odibat, Zaid; Shawagfeh, Nabil
2
2022
A Legendre-based approach of the optimized decomposition method for solving nonlinear Caputo-type fractional differential equations. Zbl 1532.65038
Laoubi, Marwa; Odibat, Zaid; Maayah, Banan
2
2022
On the approximation of integrals using homotopy perturbation method. Zbl 1182.65047
Odibat, Zaid M.
1
2010
Analytical solution for the time-fractional Navier-Stokes equation. Zbl 1157.35082
Odibat, Zaid M.; Momani, Shaher
1
2006
N-fractional calculus method to a class of linear integro-differential equations. Zbl 1016.45005
Odibat, Zaid; Shawagfeh, Nabil
1
2002
On the formulation of a predictor-corrector method to model IVPs with variable-order Liouville-Caputo-type derivatives. Zbl 07816047
Zerari, Amina; Odibat, Zaid; Shawagfeh, Nabil
1
2023
A new fractional derivative operator with generalized cardinal sine kernel: numerical simulation. Zbl 07704432
Odibat, Zaid; Baleanu, Dumitru
2
2023
On the formulation of a predictor-corrector method to model IVPs with variable-order Liouville-Caputo-type derivatives. Zbl 07816047
Zerari, Amina; Odibat, Zaid; Shawagfeh, Nabil
1
2023
A linearization-based computational algorithm of homotopy analysis method for nonlinear reaction-diffusion systems. Zbl 07478811
Al-Qudah, Alaa; Odibat, Zaid; Shawagfeh, Nabil
2
2022
A Legendre-based approach of the optimized decomposition method for solving nonlinear Caputo-type fractional differential equations. Zbl 1532.65038
Laoubi, Marwa; Odibat, Zaid; Maayah, Banan
2
2022
The optimal homotopy analysis method applied on nonlinear time-fractional hyperbolic partial differential equation. Zbl 07776056
Bahia, Ghenaiet; Ouannas, Adel; Batiha, Iqbal M.; Odibat, Zaid
4
2021
Numerical simulation of initial value problems with generalized Caputo-type fractional derivatives. Zbl 1453.65160
Odibat, Zaid; Baleanu, Dumitru
45
2020
A comparison study of two modified analytical approach for the solution of nonlinear fractional shallow water equations in fluid flow. Zbl 1484.76017
Kumar, Sunil; Kumar, Amit; Odibat, Zaid; Aldhaifallah, Mujahed; Nisar, Kottakkaran Sooppy
33
2020
An optimized decomposition method for nonlinear ordinary and partial differential equations. Zbl 07527037
Odibat, Zaid
15
2020
Fractional power series solutions of fractional differential equations by using generalized Taylor series. Zbl 1455.34009
Odibat, Zaid
9
2020
On the three-dimensional fractional-order Hénon map with Lorenz-like attractors. Zbl 1452.37043
Khennaoui, Amina-Aicha; Ouannas, Adel; Odibat, Zaid; Pham, Viet-Thanh; Grassi, Giuseppe
5
2020
An improved optimal homotopy analysis algorithm for nonlinear differential equations. Zbl 1436.65154
Odibat, Zaid
5
2020
On the dynamics, control and synchronization of fractional-order Ikeda map. Zbl 1448.93186
Ouannas, Adel; Khennaoui, Amina-Aicha; Odibat, Zaid; Pham, Viet-Thanh; Grassi, Giuseppe
19
2019
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. Zbl 1409.65040
Odibat, Zaid
17
2019
A new Q-S synchronization results for discrete chaotic systems. Zbl 1432.93205
Ouannas, Adel; Odibat, Zaid; Shawagfeh, Nabil
13
2019
A linearization-based approach of homotopy analysis method for non-linear time-fractional parabolic PDEs. Zbl 1444.35024
Odibat, Zaid; Baleanu, Dumitru
12
2019
Synchronization control in reaction-diffusion systems: application to Lengyel-Epstein system. Zbl 1420.35131
Ouannas, Adel; Abdelli, Mouna; Odibat, Zaid; Wang, Xiong; Pham, Viet-Thanh; Grassi, Giuseppe; Alsaedi, Ahmed
3
2019
Numerical solutions of time-fractional partial integrodifferential equations of Robin functions types in Hilbert space with error bounds and error estimates. Zbl 1422.45010
Abu Arqub, Omar; Odibat, Zaid; Al-Smadi, Mohammed
29
2018
Investigation of Q-S synchronization in coupled chaotic incommensurate fractional order systems. Zbl 07820697
Ouannas, Adel; Odibat, Zaid; Alsaedi, Ahmed; Hobiny, Aatef; Hayat, Tasawar
2
2018
A nonlinear fractional model to describe the population dynamics of two interacting species. Zbl 1368.34011
Kumar, Sunil; Kumar, Amit; Odibat, Zaid M.
44
2017
Chaos in fractional order cubic Chua system and synchronization. Zbl 1380.34019
Odibat, Zaid; Corson, Nathalie; Aziz-Alaoui, M. A.; Alsaedi, Ahmed
15
2017
Universal chaos synchronization control laws for general quadratic discrete systems. Zbl 1446.93051
Ouannas, Adel; Odibat, Zaid; Shawagfeh, Nabil; Alsaedi, Ahmed; Ahmad, Bashir
15
2017
Fractional analysis of co-existence of some types of chaos synchronization. Zbl 1380.93134
Ouannas, Adel; Odibat, Zaid; Hayat, Tasawar
12
2017
A study on the convergence conditions of generalized differential transform method. Zbl 1354.26013
Odibat, Zaid M.; Kumar, Sunil; Shawagfeh, Nabil; Alsaedi, Ahmed; Hayat, Tasawar
10
2017
A Riccati equation approach and travelling wave solutions for nonlinear evolution equations. Zbl 1392.35065
Odibat, Zaid
5
2017
On inverse generalized synchronization of continuous chaotic dynamical systems. Zbl 1420.37023
Ouannas, Adel; Odibat, Zaid
14
2016
An adaptation of homotopy analysis method for reliable treatment of strongly nonlinear problems: construction of homotopy polynomials. Zbl 1318.34021
Odibat, Zaid; Bataineh, A. Sami
32
2015
Generalized synchronization of different dimensional chaotic dynamical systems in discrete time. Zbl 1347.34086
Ouannas, Adel; Odibat, Zaid
28
2015
A note on phase synchronization in coupled chaotic fractional order systems. Zbl 1238.34121
Odibat, Zaid
52
2012
An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus I (HTLV-I) infection of T-cells. Zbl 1228.92064
Ertürk, Vedat Suat; Odibat, Zaid M.; Momani, Shaher
32
2011
On Legendre polynomial approximation with the VIM or HAM for numerical treatment of nonlinear fractional differential equations. Zbl 1210.65132
Odibat, Zaid
24
2011
Adaptive feedback control and synchronization of non-identical chaotic fractional order systems. Zbl 1194.93105
Odibat, Zaid M.
77
2010
Analytic study on linear systems of fractional differential equations. Zbl 1189.34017
Odibat, Zaid M.
76
2010
A study on the convergence of variational iteration method. Zbl 1198.65147
Odibat, Zaid M.
71
2010
A multi-step differential transform method and application to non-chaotic or chaotic systems. Zbl 1189.65170
Odibat, Zaid M.; Bertelle, Cyrille; Aziz-Alaoui, M. A.; Duchamp, Gérard H. E.
66
2010
A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations. Zbl 1185.65139
Odibat, Zaid; Momani, Shaher; Xu, Hang
65
2010
Synchronization of chaotic fractional-order systems via linear control. Zbl 1183.34095
Odibat, Zaid M.; Corson, Nathalie; Aziz-Alaoui, M. A.; Bertelle, Cyrille
63
2010
The homotopy analysis method for handling systems of fractional differential equations. Zbl 1185.65140
Zurigat, Mohammad; Momani, Shaher; Odibat, Zaid; Alawneh, Ahmad
53
2010
A study on the convergence of homotopy analysis method. Zbl 1203.65105
Odibat, Zaid M.
34
2010
Construction of analytical solutions to fractional differential equations using homotopy analysis method. Zbl 1229.65143
El-Ajou, Ahmad; Odibat, Zaid; Momani, Shaher; Alawneh, Ahmad
6
2010
On the approximation of integrals using homotopy perturbation method. Zbl 1182.65047
Odibat, Zaid M.
1
2010
The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics. Zbl 1189.65254
Odibat, Zaid; Momani, Shaher
120
2009
Computational algorithms for computing the fractional derivatives of functions. Zbl 1161.65319
Odibat, Zaid M.
36
2009
Exact solitary solutions for variants of the KdV equations with fractional time derivatives. Zbl 1197.65111
Odibat, Zaid M.
9
2009
Computing eigenelements of boundary value problems with fractional derivatives. Zbl 1180.65096
Odibat, Zaid M.
8
2009
Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order. Zbl 1152.34311
Odibat, Zaid; Momani, Shaher
203
2008
A generalized differential transform method for linear partial differential equations of fractional order. Zbl 1132.35302
Odibat, Zaid; Momani, Shaher
163
2008
Numerical methods for nonlinear partial differential equations of fractional order. Zbl 1133.65116
Odibat, Zaid; Momani, Shaher
160
2008
Application of generalized differential transform method to multi-order fractional differential equations. Zbl 1221.34022
Erturk, Vedat Suat; Momani, Shaher; Odibat, Zaid
91
2008
Generalized differential transform method: Application to differential equations of fractional order. Zbl 1141.65092
Odibat, Zaid; Momani, Shaher; Erturk, Vedat Suat
83
2008
A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor’s formula. Zbl 1148.65099
Momani, Shaher; Odibat, Zaid
79
2008
Variational iteration method for solving the space- and time-fractional KdV Equation. Zbl 1130.65132
Momani, Shaher; Odibat, Zaid; Alawneh, Ahmed
43
2008
Differential transform method for solving Volterra integral equation with separable kernels. Zbl 1187.45003
Odibat, Zaid M.
42
2008
Numerical solutions of the space-time fractional advection-dispersion equation. Zbl 1148.76044
Momani, Shaher; Odibat, Zaid
35
2008
Applications of variational iteration and homotopy perturbation methods to fractional evolution equations. Zbl 1172.26303
Odibat, Zaid; Momani, Shaher
14
2008
Algorithm for nonlinear fractional partial differential equations: a selection of numerical methods. Zbl 1172.26302
Momani, Shaher; Odibat, Zaid; Hashim, Ishak
13
2008
Reliable approaches of variational iteration method for nonlinear operators. Zbl 1145.65314
Odibat, Zaid M.
10
2008
Compact and noncompact structures for nonlinear fractional evolution equations. Zbl 1217.81064
Odibat, Zaid M.
9
2008
Construction of solitary solutions for nonlinear dispersive equations by variational iteration method. Zbl 1220.35143
Odibat, Zaid M.
9
2008
Analytical comparison between the homotopy perturbation method and variational iteration method for differential equations of fractional orders. Zbl 1180.65178
Odibat, Zaid; Momani, Shaher
8
2008
Compact structures in a class of nonlinearly dispersive equations with time-fractional derivatives. Zbl 1157.65073
Odibat, Zaid M.
6
2008
Generalized Taylor’s formula. Zbl 1122.26006
Odibat, Zaid M.; Shawagfeh, Nabil T.
347
2007
Homotopy perturbation method for nonlinear partial differential equations of fractional order. Zbl 1203.65212
Momani, Shaher; Odibat, Zaid
181
2007
Numerical comparison of methods for solving linear differential equations of fractional order. Zbl 1137.65450
Momani, Shaher; Odibat, Zaid
172
2007
Numerical approach to differential equations of fractional order. Zbl 1119.65127
Momani, Shaher; Odibat, Zaid
123
2007
Generalized differential transform method for solving a space- and time-fractional diffusion-wave equation. Zbl 1209.35066
Momani, Shaher; Odibat, Zaid; Erturk, Vedat Suat
114
2007
Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations. Zbl 1141.65398
Momani, Shaher; Odibat, Zaid
91
2007
Numerical solution of Fokker-Planck equation with space- and time-fractional derivatives. Zbl 1209.65114
Odibat, Zaid; Momani, Shaher
41
2007
A new modification of the homotopy perturbation method for linear and nonlinear operators. Zbl 1122.65092
Odibat, Zaid M.
38
2007
A reliable treatment of homotopy perturbation method for Klein-Gordon equations. Zbl 1203.65213
Odibat, Zaid; Momani, Shaher
28
2007
Fractional Green function for linear time-fractional inhomogeneous partial differential equations in fluid mechanics. Zbl 1134.35093
Momani, Shaher; Odibat, Zaid M.
28
2007
Solitary solutions for the nonlinear dispersive \(K(m,n)\) equations with fractional time derivatives. Zbl 1209.37090
Odibat, Zaid M.
9
2007
Application of variational iteration method to nonlinear differential equations of fractional order. Zbl 1401.65087
Odibat, Zaid M.; Momani, Shaher
300
2006
Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method. Zbl 1096.65131
Momani, Shaher; Odibat, Zaid
179
2006
Analytical approach to linear fractional partial differential equations arising in fluid mechanics. Zbl 1378.76084
Momani, Shaher; Odibat, Zaid
169
2006
Approximations of fractional integrals and Caputo fractional derivatives. Zbl 1101.65028
Odibat, Zaid
65
2006
Variational iteration method for solving nonlinear boundary value problems. Zbl 1110.65068
Momani, Shaher; Abuasad, Salah; Odibat, Zaid
53
2006
Approximate solutions for boundary value problems of time-fractional wave equation. Zbl 1148.65100
Odibat, Zaid M.; Momani, Shaher
45
2006
Rectangular decomposition method for fractional diffusion-wave equations. Zbl 1100.65125
Odibat, Zaid M.
7
2006
A reliable modification of the rectangular decomposition method. Zbl 1109.65118
Odibat, Zaid M.
3
2006
Analytical solution for the time-fractional Navier-Stokes equation. Zbl 1157.35082
Odibat, Zaid M.; Momani, Shaher
1
2006
Negative power series solutions for a class of linear ordinary differential equations using N-fractional method. Zbl 1007.34003
Alawneh, Ahmed; Odibat, Zaid; Nishimoto, Katsuyuki
2
2002
N-fractional calculus method to a class of linear integro-differential equations. Zbl 1016.45005
Odibat, Zaid; Shawagfeh, Nabil
1
2002
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Cited by 3,462 Authors

84 Băleanu, Dumitru I.
69 Momani, Shaher M.
65 Odibat, Zaid M.
39 Dehghan Takht Fooladi, Mehdi
39 Ouannas, Adel
34 Yıldırım, Ahmet
29 Hashim, Ishak
28 Ordokhani, Yadollah
27 Jafari, Hossein
27 Kumar, Sunil
23 Biazar, Jafar
22 Gómez-Aguilar, José Francisco
21 Arqub, Omar Abu
20 Razzaghi, Mohsen
19 Ganji, Davood Domiri
19 Kumar, Devendra
19 Yang, Xiao-Jun
18 Abbaszadeh, Mostafa
18 Cattani, Carlo
18 Salahshour, Soheil
18 Singh, Jagdev
17 Erturk, Vedat Suat
17 Grassi, Giuseppe
17 Inc, Mustafa
17 Srivastava, Hari Mohan
16 Kiliçman, Adem
16 Pham, Viet-Thanh
15 Atangana, Abdon
15 Noorani, Mohd Salmi Mohd
14 Akgül, Ali
14 Arafa, Anas. A. M.
14 Bhrawy, Ali Hassan
14 Golbabai, Ahmad
14 He, Ji-Huan
14 Li, Changpin
14 Wei, LeiLei
14 Yüzbaşı, Şuayip
14 Zhang, Xindong
13 Abbasbandy, Saeid
13 Al-Smadi, Mohammed H.
13 Al-saedi, Ahmed Eid Salem
13 Aminikhah, Hossein
13 Machado, José António Tenreiro
13 Pinto, Carla M. A.
13 Shawagfeh, Nabil T.
12 Ahmadian, Ali
12 Alquran, Marwan Taiseer
12 Effati, Sohrab
12 Khennaoui, Amina-Aicha
12 Kumar, Pushpendra
12 Mohebbi, Akbar
12 Rahimkhani, Parisa
12 Shah, Kamal
12 Wang, Kangle
11 Abdeljawad, Thabet
11 Bendoukha, Samir
11 Dehestani, Haniye
11 Kadem, Abdelouahab
11 Kumar, Sachin
11 Sayevand, Khosro
11 Ur Rehman, Mujeeb
10 Alomari, Abedel-Karrem
10 Chu, Yuming
10 Demir, Ali
10 Freihat, Asad A.
10 Geng, Fazhan
10 Heydari, Mohammad Hossein
10 Jaradat, Imad
10 Javidi, Mohammad
10 Khan, Hassan Ali
10 Liu, Fawang
10 Owolabi, Kolade Matthew
10 Rezapour, Shahram
10 Saeed, Umer
10 Zhou, Ping
9 Agarwal, Praveen
9 Ahmad, Bashir
9 El-Ajou, Ahmad
9 Ghazvini, H.
9 He, Yinnian
9 Khalouta, Ali
9 Khan, Muhammad Altaf
9 Kumar, Amit
9 Maayah, Banan
9 Rida, Saad Zagloul
9 Shah, Rasool
9 Sumelka, Wojciech
9 Sweilam, Nasser Hassan
9 Tang, Bo
9 Yousefi, Sohrab Ali
9 Zhou, Yong
8 Abdou, Mohamed Aly Mohamed
8 Babolian, Esmail
8 Cao, Jinde
8 Das, Subir
8 El-Sayed, Ahmed Mohamed Ahmed
8 Ezz-Eldien, Samer S.
8 Gupta, Praveen Kumar
8 Liu, Yanqin
8 Ray, Sumita Saha
...and 3,362 more Authors
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Cited in 300 Serials

138 Computers & Mathematics with Applications
134 Chaos, Solitons and Fractals
133 Mathematical Methods in the Applied Sciences
124 Applied Mathematics and Computation
106 Advances in Difference Equations
90 Abstract and Applied Analysis
78 Communications in Nonlinear Science and Numerical Simulation
65 Applied Mathematical Modelling
65 Nonlinear Dynamics
62 Journal of Computational and Applied Mathematics
55 Mathematical Problems in Engineering
51 International Journal of Computer Mathematics
50 Numerical Methods for Partial Differential Equations
49 Physics Letters. A
46 Fractals
46 International Journal of Applied and Computational Mathematics
42 Computational and Applied Mathematics
41 Mathematics and Computers in Simulation
30 Advances in Mathematical Physics
29 Physica A
28 Applied Mathematics Letters
28 Journal of Applied Mathematics and Computing
26 Discrete Dynamics in Nature and Society
26 International Journal of Nonlinear Sciences and Numerical Simulation
25 Applied Numerical Mathematics
25 Numerical Algorithms
24 Fractional Calculus & Applied Analysis
24 Journal of Applied Mathematics
23 International Journal of Numerical Methods for Heat & Fluid Flow
23 Journal of Function Spaces
21 International Journal of Differential Equations
20 Computational Methods for Differential Equations
19 Journal of Computational Physics
18 International Journal of Biomathematics
18 AIMS Mathematics
17 Mathematical and Computer Modelling
17 Complexity
17 Mathematical Sciences
16 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
16 Journal of Mathematical Chemistry
14 Chaos
13 Nonlinear Analysis. Real World Applications
12 Discrete and Continuous Dynamical Systems. Series S
11 Journal of the Franklin Institute
11 Journal of the Egyptian Mathematical Society
11 Boundary Value Problems
11 S\(\vec{\text{e}}\)MA Journal
10 Chinese Journal of Physics (Taipei)
9 Applications and Applied Mathematics
9 Journal of Nonlinear Science and Applications
8 Journal of Mathematical Analysis and Applications
8 Journal of Scientific Computing
8 Filomat
8 Waves in Random and Complex Media
8 Journal of Mathematical Extension
7 Acta Mechanica
7 Soft Computing
7 Tbilisi Mathematical Journal
7 International Journal for Numerical Methods in Biomedical Engineering
7 Journal of Applied Nonlinear Dynamics
6 International Journal of Mathematics and Mathematical Sciences
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Journal of Vibration and Control
6 Nonlinear Analysis. Modelling and Control
6 Mathematical Modelling of Natural Phenomena
6 Asian-European Journal of Mathematics
6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
6 Mathematics
6 Iranian Journal of Numerical Analysis and Optimization
5 Computer Physics Communications
5 International Journal of Theoretical Physics
5 Journal of Mathematical Physics
5 Optimal Control Applications & Methods
5 Computational Mathematics and Modeling
5 Differential Equations and Dynamical Systems
5 Boletim da Sociedade Paranaense de Matemática. Terceira Série
5 The Australian Journal of Mathematical Analysis and Applications
5 Symmetry
5 Asian Journal of Control
5 Journal of Applied Analysis and Computation
5 Journal of Mathematical Modeling
4 Computers and Fluids
4 Engineering Analysis with Boundary Elements
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 Iranian Journal of Science and Technology. Transaction A: Science
4 Hacettepe Journal of Mathematics and Statistics
4 International Journal of Computational Methods
4 Mediterranean Journal of Mathematics
4 Communications in Theoretical Physics
4 Advances in Applied Mathematics and Mechanics
4 Afrika Matematika
4 Fractional Differential Calculus
4 Journal of Mathematics
4 Open Mathematics
4 International Journal of Systems Science. Principles and Applications of Systems and Integration
3 International Journal of Modern Physics B
3 Rocky Mountain Journal of Mathematics
3 Journal of Geometry and Physics
3 BIT
3 Journal of Optimization Theory and Applications
...and 200 more Serials
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Cited in 49 Fields

1,255 Numerical analysis (65-XX)
1,065 Ordinary differential equations (34-XX)
1,024 Partial differential equations (35-XX)
572 Real functions (26-XX)
311 Biology and other natural sciences (92-XX)
224 Integral equations (45-XX)
158 Systems theory; control (93-XX)
135 Dynamical systems and ergodic theory (37-XX)
127 Fluid mechanics (76-XX)
68 Special functions (33-XX)
66 Calculus of variations and optimal control; optimization (49-XX)
61 Operator theory (47-XX)
55 Approximations and expansions (41-XX)
55 Integral transforms, operational calculus (44-XX)
42 Mechanics of deformable solids (74-XX)
40 Probability theory and stochastic processes (60-XX)
38 Statistical mechanics, structure of matter (82-XX)
35 Classical thermodynamics, heat transfer (80-XX)
33 Difference and functional equations (39-XX)
30 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
26 Computer science (68-XX)
26 Information and communication theory, circuits (94-XX)
24 Harmonic analysis on Euclidean spaces (42-XX)
23 Mechanics of particles and systems (70-XX)
19 Functional analysis (46-XX)
18 Quantum theory (81-XX)
15 Measure and integration (28-XX)
12 Operations research, mathematical programming (90-XX)
8 Optics, electromagnetic theory (78-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Statistics (62-XX)
6 Combinatorics (05-XX)
6 Sequences, series, summability (40-XX)
5 Number theory (11-XX)
5 Topological groups, Lie groups (22-XX)
4 Functions of a complex variable (30-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Geophysics (86-XX)
2 Group theory and generalizations (20-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Algebraic topology (55-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Nonassociative rings and algebras (17-XX)
1 Potential theory (31-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

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