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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: 88 Publications since 2002
Co-Authors: 39 Co-Authors with 62 Joint Publications
2,522 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

80 Publications have been cited 3,769 times in 2,344 Documents Cited by Year
Generalized Taylor’s formula. Zbl 1122.26006
Odibat, Zaid M.; Shawagfeh, Nabil T.
321
2007
Application of variational iteration method to nonlinear differential equations of fractional order. Zbl 1401.65087
Odibat, Zaid M.; Momani, Shaher
256
2006
Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order. Zbl 1152.34311
Odibat, Zaid; Momani, Shaher
191
2008
Homotopy perturbation method for nonlinear partial differential equations of fractional order. Zbl 1203.65212
Momani, Shaher; Odibat, Zaid
167
2007
Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method. Zbl 1096.65131
Momani, Shaher; Odibat, Zaid
160
2006
Numerical methods for nonlinear partial differential equations of fractional order. Zbl 1133.65116
Odibat, Zaid; Momani, Shaher
154
2008
Numerical comparison of methods for solving linear differential equations of fractional order. Zbl 1137.65450
Momani, Shaher; Odibat, Zaid
152
2007
Analytical approach to linear fractional partial differential equations arising in fluid mechanics. Zbl 1378.76084
Momani, Shaher; Odibat, Zaid
152
2006
A generalized differential transform method for linear partial differential equations of fractional order. Zbl 1132.35302
Odibat, Zaid; Momani, Shaher
148
2008
Numerical approach to differential equations of fractional order. Zbl 1119.65127
Momani, Shaher; Odibat, Zaid
114
2007
The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics. Zbl 1189.65254
Odibat, Zaid; Momani, Shaher
111
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
106
2007
Application of generalized differential transform method to multi-order fractional differential equations. Zbl 1221.34022
Erturk, Vedat Suat; Momani, Shaher; Odibat, Zaid
88
2008
Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations. Zbl 1141.65398
Momani, Shaher; Odibat, Zaid
85
2007
Generalized differential transform method: Application to differential equations of fractional order. Zbl 1141.65092
Odibat, Zaid; Momani, Shaher; Erturk, Vedat Suat
78
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
73
2008
Adaptive feedback control and synchronization of non-identical chaotic fractional order systems. Zbl 1194.93105
Odibat, Zaid M.
72
2010
Analytic study on linear systems of fractional differential equations. Zbl 1189.34017
Odibat, Zaid M.
71
2010
A study on the convergence of variational iteration method. Zbl 1198.65147
Odibat, Zaid M.
67
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.
64
2010
Approximations of fractional integrals and Caputo fractional derivatives. Zbl 1101.65028
Odibat, Zaid
61
2006
A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations. Zbl 1185.65139
Odibat, Zaid; Momani, Shaher; Xu, Hang
58
2010
Synchronization of chaotic fractional-order systems via linear control. Zbl 1183.34095
Odibat, Zaid M.; Corson, Nathalie; Aziz-Alaoui, M. A.; Bertelle, Cyrille
57
2010
Variational iteration method for solving nonlinear boundary value problems. Zbl 1110.65068
Momani, Shaher; Abuasad, Salah; Odibat, Zaid
53
2006
A note on phase synchronization in coupled chaotic fractional order systems. Zbl 1238.34121
Odibat, Zaid
51
2012
The homotopy analysis method for handling systems of fractional differential equations. Zbl 1185.65140
Zurigat, Mohammad; Momani, Shaher; Odibat, Zaid; Alawneh, Ahmad
49
2010
Differential transform method for solving Volterra integral equation with separable kernels. Zbl 1187.45003
Odibat, Zaid M.
41
2008
Approximate solutions for boundary value problems of time-fractional wave equation. Zbl 1148.65100
Odibat, Zaid M.; Momani, Shaher
41
2006
Numerical simulation of initial value problems with generalized Caputo-type fractional derivatives. Zbl 1453.65160
Odibat, Zaid; Baleanu, Dumitru
40
2020
Numerical solution of Fokker-Planck equation with space- and time-fractional derivatives. Zbl 1209.65114
Odibat, Zaid; Momani, Shaher
38
2007
Variational iteration method for solving the space- and time-fractional KdV Equation. Zbl 1130.65132
Momani, Shaher; Odibat, Zaid; Alawneh, Ahmed
37
2008
A new modification of the homotopy perturbation method for linear and nonlinear operators. Zbl 1122.65092
Odibat, Zaid M.
35
2007
A nonlinear fractional model to describe the population dynamics of two interacting species. Zbl 1368.34011
Kumar, Sunil; Kumar, Amit; Odibat, Zaid M.
35
2017
Numerical solutions of the space-time fractional advection-dispersion equation. Zbl 1148.76044
Momani, Shaher; Odibat, Zaid
33
2008
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
31
2011
Computational algorithms for computing the fractional derivatives of functions. Zbl 1161.65319
Odibat, Zaid M.
31
2009
A study on the convergence of homotopy analysis method. Zbl 1203.65105
Odibat, Zaid M.
30
2010
Generalized synchronization of different dimensional chaotic dynamical systems in discrete time. Zbl 1347.34086
Ouannas, Adel; Odibat, Zaid
26
2015
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
26
2015
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
26
2020
Fractional Green function for linear time-fractional inhomogeneous partial differential equations in fluid mechanics. Zbl 1134.35093
Momani, Shaher; Odibat, Zaid M.
25
2007
A reliable treatment of homotopy perturbation method for Klein-Gordon equations. Zbl 1203.65213
Odibat, Zaid; Momani, Shaher
25
2007
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
25
2018
On Legendre polynomial approximation with the VIM or HAM for numerical treatment of nonlinear fractional differential equations. Zbl 1210.65132
Odibat, Zaid
20
2011
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
16
2019
Applications of variational iteration and homotopy perturbation methods to fractional evolution equations. Zbl 1172.26303
Odibat, Zaid; Momani, Shaher
14
2008
Universal chaos synchronization control laws for general quadratic discrete systems. Zbl 1446.93051
Ouannas, Adel; Odibat, Zaid; Shawagfeh, Nabil; Alsaedi, Ahmed; Ahmad, Bashir
13
2017
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
13
2019
Algorithm for nonlinear fractional partial differential equations: a selection of numerical methods. Zbl 1172.26302
Momani, Shaher; Odibat, Zaid; Hashim, Ishak
12
2008
Chaos in fractional order cubic Chua system and synchronization. Zbl 1380.34019
Odibat, Zaid; Corson, Nathalie; Aziz-Alaoui, M. A.; Alsaedi, Ahmed
12
2017
A new Q-S synchronization results for discrete chaotic systems. Zbl 1432.93205
Ouannas, Adel; Odibat, Zaid; Shawagfeh, Nabil
11
2019
On inverse generalized synchronization of continuous chaotic dynamical systems. Zbl 1420.37023
Ouannas, Adel; Odibat, Zaid
11
2016
An optimized decomposition method for nonlinear ordinary and partial differential equations. Zbl 07527037
Odibat, Zaid
11
2020
A linearization-based approach of homotopy analysis method for non-linear time-fractional parabolic PDEs. Zbl 1444.35024
Odibat, Zaid; Baleanu, Dumitru
11
2019
Fractional analysis of co-existence of some types of chaos synchronization. Zbl 1380.93134
Ouannas, Adel; Odibat, Zaid; Hayat, Tasawar
10
2017
Reliable approaches of variational iteration method for nonlinear operators. Zbl 1145.65314
Odibat, Zaid M.
10
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
Exact solitary solutions for variants of the KdV equations with fractional time derivatives. Zbl 1197.65111
Odibat, Zaid M.
8
2009
Computing eigenelements of boundary value problems with fractional derivatives. Zbl 1180.65096
Odibat, Zaid M.
7
2009
Rectangular decomposition method for fractional diffusion-wave equations. Zbl 1100.65125
Odibat, Zaid M.
7
2006
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
7
2017
Compact and noncompact structures for nonlinear fractional evolution equations. Zbl 1217.81064
Odibat, Zaid M.
6
2008
Fractional power series solutions of fractional differential equations by using generalized Taylor series. Zbl 1455.34009
Odibat, Zaid
6
2020
Solitary solutions for the nonlinear dispersive \(K(m,n)\) equations with fractional time derivatives. Zbl 1209.37090
Odibat, Zaid M.
5
2007
Construction of analytical solutions to fractional differential equations using homotopy analysis method. Zbl 1229.65143
El-Ajou, Ahmad; Odibat, Zaid; Momani, Shaher; Alawneh, Ahmad
5
2010
Compact structures in a class of nonlinearly dispersive equations with time-fractional derivatives. Zbl 1157.65073
Odibat, Zaid M.
4
2008
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
4
2020
An improved optimal homotopy analysis algorithm for nonlinear differential equations. Zbl 1436.65154
Odibat, Zaid
4
2020
A Riccati equation approach and travelling wave solutions for nonlinear evolution equations. Zbl 1392.35065
Odibat, Zaid
4
2017
A reliable modification of the rectangular decomposition method. Zbl 1109.65118
Odibat, Zaid M.
3
2006
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
3
2021
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
A Legendre-based approach of the optimized decomposition method for solving nonlinear Caputo-type fractional differential equations. Zbl 07775925
Laoubi, Marwa; Odibat, Zaid; Maayah, Banan
2
2022
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
2
2019
Analytical solution for the time-fractional Navier-Stokes equation. Zbl 1157.35082
Odibat, Zaid M.; Momani, Shaher
1
2006
On the approximation of integrals using homotopy perturbation method. Zbl 1182.65047
Odibat, Zaid M.
1
2010
N-fractional calculus method to a class of linear integro-differential equations. Zbl 1016.45005
Odibat, Zaid; Shawagfeh, Nabil
1
2002
A new fractional derivative operator with generalized cardinal sine kernel: numerical simulation. Zbl 07704432
Odibat, Zaid; Baleanu, Dumitru
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
1
2022
A new fractional derivative operator with generalized cardinal sine kernel: numerical simulation. Zbl 07704432
Odibat, Zaid; Baleanu, Dumitru
1
2023
A Legendre-based approach of the optimized decomposition method for solving nonlinear Caputo-type fractional differential equations. Zbl 07775925
Laoubi, Marwa; Odibat, Zaid; Maayah, Banan
2
2022
A linearization-based computational algorithm of homotopy analysis method for nonlinear reaction-diffusion systems. Zbl 07478811
Al-Qudah, Alaa; Odibat, Zaid; Shawagfeh, Nabil
1
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
3
2021
Numerical simulation of initial value problems with generalized Caputo-type fractional derivatives. Zbl 1453.65160
Odibat, Zaid; Baleanu, Dumitru
40
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
26
2020
An optimized decomposition method for nonlinear ordinary and partial differential equations. Zbl 07527037
Odibat, Zaid
11
2020
Fractional power series solutions of fractional differential equations by using generalized Taylor series. Zbl 1455.34009
Odibat, Zaid
6
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
4
2020
An improved optimal homotopy analysis algorithm for nonlinear differential equations. Zbl 1436.65154
Odibat, Zaid
4
2020
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
16
2019
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
13
2019
A new Q-S synchronization results for discrete chaotic systems. Zbl 1432.93205
Ouannas, Adel; Odibat, Zaid; Shawagfeh, Nabil
11
2019
A linearization-based approach of homotopy analysis method for non-linear time-fractional parabolic PDEs. Zbl 1444.35024
Odibat, Zaid; Baleanu, Dumitru
11
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
2
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
25
2018
A nonlinear fractional model to describe the population dynamics of two interacting species. Zbl 1368.34011
Kumar, Sunil; Kumar, Amit; Odibat, Zaid M.
35
2017
Universal chaos synchronization control laws for general quadratic discrete systems. Zbl 1446.93051
Ouannas, Adel; Odibat, Zaid; Shawagfeh, Nabil; Alsaedi, Ahmed; Ahmad, Bashir
13
2017
Chaos in fractional order cubic Chua system and synchronization. Zbl 1380.34019
Odibat, Zaid; Corson, Nathalie; Aziz-Alaoui, M. A.; Alsaedi, Ahmed
12
2017
Fractional analysis of co-existence of some types of chaos synchronization. Zbl 1380.93134
Ouannas, Adel; Odibat, Zaid; Hayat, Tasawar
10
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
7
2017
A Riccati equation approach and travelling wave solutions for nonlinear evolution equations. Zbl 1392.35065
Odibat, Zaid
4
2017
On inverse generalized synchronization of continuous chaotic dynamical systems. Zbl 1420.37023
Ouannas, Adel; Odibat, Zaid
11
2016
Generalized synchronization of different dimensional chaotic dynamical systems in discrete time. Zbl 1347.34086
Ouannas, Adel; Odibat, Zaid
26
2015
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
26
2015
A note on phase synchronization in coupled chaotic fractional order systems. Zbl 1238.34121
Odibat, Zaid
51
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
31
2011
On Legendre polynomial approximation with the VIM or HAM for numerical treatment of nonlinear fractional differential equations. Zbl 1210.65132
Odibat, Zaid
20
2011
Adaptive feedback control and synchronization of non-identical chaotic fractional order systems. Zbl 1194.93105
Odibat, Zaid M.
72
2010
Analytic study on linear systems of fractional differential equations. Zbl 1189.34017
Odibat, Zaid M.
71
2010
A study on the convergence of variational iteration method. Zbl 1198.65147
Odibat, Zaid M.
67
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.
64
2010
A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations. Zbl 1185.65139
Odibat, Zaid; Momani, Shaher; Xu, Hang
58
2010
Synchronization of chaotic fractional-order systems via linear control. Zbl 1183.34095
Odibat, Zaid M.; Corson, Nathalie; Aziz-Alaoui, M. A.; Bertelle, Cyrille
57
2010
The homotopy analysis method for handling systems of fractional differential equations. Zbl 1185.65140
Zurigat, Mohammad; Momani, Shaher; Odibat, Zaid; Alawneh, Ahmad
49
2010
A study on the convergence of homotopy analysis method. Zbl 1203.65105
Odibat, Zaid M.
30
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
5
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
111
2009
Computational algorithms for computing the fractional derivatives of functions. Zbl 1161.65319
Odibat, Zaid M.
31
2009
Exact solitary solutions for variants of the KdV equations with fractional time derivatives. Zbl 1197.65111
Odibat, Zaid M.
8
2009
Computing eigenelements of boundary value problems with fractional derivatives. Zbl 1180.65096
Odibat, Zaid M.
7
2009
Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order. Zbl 1152.34311
Odibat, Zaid; Momani, Shaher
191
2008
Numerical methods for nonlinear partial differential equations of fractional order. Zbl 1133.65116
Odibat, Zaid; Momani, Shaher
154
2008
A generalized differential transform method for linear partial differential equations of fractional order. Zbl 1132.35302
Odibat, Zaid; Momani, Shaher
148
2008
Application of generalized differential transform method to multi-order fractional differential equations. Zbl 1221.34022
Erturk, Vedat Suat; Momani, Shaher; Odibat, Zaid
88
2008
Generalized differential transform method: Application to differential equations of fractional order. Zbl 1141.65092
Odibat, Zaid; Momani, Shaher; Erturk, Vedat Suat
78
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
73
2008
Differential transform method for solving Volterra integral equation with separable kernels. Zbl 1187.45003
Odibat, Zaid M.
41
2008
Variational iteration method for solving the space- and time-fractional KdV Equation. Zbl 1130.65132
Momani, Shaher; Odibat, Zaid; Alawneh, Ahmed
37
2008
Numerical solutions of the space-time fractional advection-dispersion equation. Zbl 1148.76044
Momani, Shaher; Odibat, Zaid
33
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
12
2008
Reliable approaches of variational iteration method for nonlinear operators. Zbl 1145.65314
Odibat, Zaid M.
10
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 and noncompact structures for nonlinear fractional evolution equations. Zbl 1217.81064
Odibat, Zaid M.
6
2008
Compact structures in a class of nonlinearly dispersive equations with time-fractional derivatives. Zbl 1157.65073
Odibat, Zaid M.
4
2008
Generalized Taylor’s formula. Zbl 1122.26006
Odibat, Zaid M.; Shawagfeh, Nabil T.
321
2007
Homotopy perturbation method for nonlinear partial differential equations of fractional order. Zbl 1203.65212
Momani, Shaher; Odibat, Zaid
167
2007
Numerical comparison of methods for solving linear differential equations of fractional order. Zbl 1137.65450
Momani, Shaher; Odibat, Zaid
152
2007
Numerical approach to differential equations of fractional order. Zbl 1119.65127
Momani, Shaher; Odibat, Zaid
114
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
106
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
85
2007
Numerical solution of Fokker-Planck equation with space- and time-fractional derivatives. Zbl 1209.65114
Odibat, Zaid; Momani, Shaher
38
2007
A new modification of the homotopy perturbation method for linear and nonlinear operators. Zbl 1122.65092
Odibat, Zaid M.
35
2007
Fractional Green function for linear time-fractional inhomogeneous partial differential equations in fluid mechanics. Zbl 1134.35093
Momani, Shaher; Odibat, Zaid M.
25
2007
A reliable treatment of homotopy perturbation method for Klein-Gordon equations. Zbl 1203.65213
Odibat, Zaid; Momani, Shaher
25
2007
Solitary solutions for the nonlinear dispersive \(K(m,n)\) equations with fractional time derivatives. Zbl 1209.37090
Odibat, Zaid M.
5
2007
Application of variational iteration method to nonlinear differential equations of fractional order. Zbl 1401.65087
Odibat, Zaid M.; Momani, Shaher
256
2006
Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method. Zbl 1096.65131
Momani, Shaher; Odibat, Zaid
160
2006
Analytical approach to linear fractional partial differential equations arising in fluid mechanics. Zbl 1378.76084
Momani, Shaher; Odibat, Zaid
152
2006
Approximations of fractional integrals and Caputo fractional derivatives. Zbl 1101.65028
Odibat, Zaid
61
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
41
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
all top 5

Cited by 3,212 Authors

75 Băleanu, Dumitru I.
64 Momani, Shaher M.
58 Odibat, Zaid M.
37 Dehghan Takht Fooladi, Mehdi
34 Ouannas, Adel
32 Yıldırım, Ahmet
26 Kumar, Sunil
25 Jafari, Hossein
24 Hashim, Ishak
24 Ordokhani, Yadollah
22 Biazar, Jafar
18 Yang, Xiao-Jun
17 Abbaszadeh, Mostafa
17 Arqub, Omar Abu
17 Cattani, Carlo
17 Salahshour, Soheil
16 Gómez-Aguilar, José Francisco
16 Grassi, Giuseppe
16 Inc, Mustafa
16 Kiliçman, Adem
16 Kumar, Devendra
16 Razzaghi, Mohsen
15 Erturk, Vedat Suat
15 Singh, Jagdev
14 Bhrawy, Ali Hassan
14 Pham, Viet-Thanh
14 Srivastava, Hari Mohan
14 Yüzbaşı, Şuayip
13 Al-Smadi, Mohammed H.
13 Arafa, Anas. A. M.
13 Ganji, Davood Domiri
13 Wei, LeiLei
12 Abbasbandy, Saeid
12 Alquran, Marwan Taiseer
12 Al-saedi, Ahmed Eid Salem
12 Aminikhah, Hossein
12 Atangana, Abdon
12 Li, Changpin
12 Machado, José António Tenreiro
12 Mohebbi, Akbar
12 Shah, Kamal
12 Wang, Kangle
12 Zhang, Xindong
11 Abdeljawad, Thabet
11 Ahmadian, Ali
11 Akgül, Ali
11 Bendoukha, Samir
11 Effati, Sohrab
11 Golbabai, Ahmad
11 Kadem, Abdelouahab
11 Noorani, Mohd Salmi Mohd
11 Rahimkhani, Parisa
11 Sayevand, Khosro
11 Shawagfeh, Nabil T.
11 Ur Rehman, Mujeeb
10 Demir, Ali
10 Freihat, Asad A.
10 Geng, Fazhan
10 Heydari, Mohammad Hossein
10 Jaradat, Imad
10 Khennaoui, Amina-Aicha
10 Kumar, Pushpendra
10 Zhou, Ping
9 Agarwal, Praveen
9 Ahmad, Bashir
9 Chu, Yuming
9 Dehestani, Haniye
9 He, Ji-Huan
9 Khalouta, Ali
9 Khan, Hassan Ali
9 Khan, Muhammad Altaf
9 Liu, Fawang
9 Owolabi, Kolade Matthew
9 Saeed, Umer
9 Sumelka, Wojciech
9 Yousefi, Sohrab Ali
8 Alomari, Abedel-Karrem
8 Babolian, Esmail
8 Cao, Jinde
8 Das, Subir
8 El-Ajou, Ahmad
8 Ezz-Eldien, Samer S.
8 Ghazvini, H.
8 He, Yinnian
8 Kumar, Amit
8 Liu, Yanqin
8 Pinto, Carla M. A.
8 Ray, Sumita Saha
8 Rezapour, Shahram
8 Rida, Saad Zagloul
8 Sakar, Mehmet Giyas
8 Shah, Rasool
8 Sweilam, Nasser Hassan
7 Aghababa, Mohammad Pourmahmood
7 Baskonus, Haci Mehmet
7 Bushnaq, Samia Saleem
7 Carvalho, Ana R. M.
7 Fernandez, Arran
7 Gupta, Praveen Kumar
7 Javidi, Mohammad
...and 3,112 more Authors
all top 5

Cited in 287 Serials

134 Computers & Mathematics with Applications
128 Chaos, Solitons and Fractals
119 Applied Mathematics and Computation
104 Advances in Difference Equations
90 Abstract and Applied Analysis
65 Nonlinear Dynamics
63 Mathematical Methods in the Applied Sciences
62 Journal of Computational and Applied Mathematics
62 Communications in Nonlinear Science and Numerical Simulation
59 Applied Mathematical Modelling
54 Mathematical Problems in Engineering
51 International Journal of Computer Mathematics
46 Fractals
46 International Journal of Applied and Computational Mathematics
43 Numerical Methods for Partial Differential Equations
42 Computational and Applied Mathematics
32 Mathematics and Computers in Simulation
29 Advances in Mathematical Physics
28 Physica A
28 Journal of Applied Mathematics and Computing
26 Applied Mathematics Letters
25 Discrete Dynamics in Nature and Society
25 International Journal of Nonlinear Sciences and Numerical Simulation
24 Applied Numerical Mathematics
24 Numerical Algorithms
24 Journal of Applied Mathematics
23 International Journal of Numerical Methods for Heat & Fluid Flow
23 Fractional Calculus & Applied Analysis
23 Journal of Function Spaces
21 International Journal of Differential Equations
20 Computational Methods for Differential Equations
19 Journal of Computational Physics
18 AIMS Mathematics
17 Mathematical and Computer Modelling
17 Mathematical Sciences
16 Complexity
16 International Journal of Biomathematics
15 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
14 Journal of Mathematical Chemistry
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 Chaos
11 Boundary Value Problems
11 S\(\vec{\text{e}}\)MA Journal
9 Applications and Applied Mathematics
9 Journal of Nonlinear Science and Applications
8 Physics Letters. A
8 Filomat
8 Waves in Random and Complex Media
7 Acta Mechanica
7 Journal of Mathematical Analysis and Applications
7 Soft Computing
7 Tbilisi Mathematical Journal
7 International Journal for Numerical Methods in Biomedical Engineering
7 Journal of Mathematical Extension
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 Scientific Computing
6 Journal of Vibration 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 Journal of Mathematical Physics
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 Journal of Applied Analysis and Computation
4 Computer Physics Communications
4 Engineering Analysis with Boundary Elements
4 Nonlinear Analysis. Modelling and Control
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 Advances in Applied Mathematics and Mechanics
4 Afrika Matematika
4 Fractional Differential Calculus
4 Journal of Mathematics
4 Journal of Mathematical Modeling
4 Open Mathematics
4 International Journal of Systems Science. Principles and Applications of Systems and Integration
3 International Journal of Modern Physics B
3 Computers and Fluids
3 International Journal of Theoretical Physics
3 Journal of Geometry and Physics
3 BIT
3 Journal of Optimization Theory and Applications
3 Meccanica
3 Optimal Control Applications & Methods
3 Acta Applicandae Mathematicae
3 Archives of Control Sciences
3 Applied Mathematics. Series B (English Edition)
3 Turkish Journal of Mathematics
...and 187 more Serials
all top 5

Cited in 48 Fields

1,156 Numerical analysis (65-XX)
965 Ordinary differential equations (34-XX)
900 Partial differential equations (35-XX)
515 Real functions (26-XX)
282 Biology and other natural sciences (92-XX)
207 Integral equations (45-XX)
145 Systems theory; control (93-XX)
118 Dynamical systems and ergodic theory (37-XX)
114 Fluid mechanics (76-XX)
61 Calculus of variations and optimal control; optimization (49-XX)
56 Approximations and expansions (41-XX)
54 Operator theory (47-XX)
52 Special functions (33-XX)
51 Integral transforms, operational calculus (44-XX)
41 Mechanics of deformable solids (74-XX)
37 Probability theory and stochastic processes (60-XX)
36 Statistical mechanics, structure of matter (82-XX)
32 Classical thermodynamics, heat transfer (80-XX)
30 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
26 Information and communication theory, circuits (94-XX)
25 Difference and functional equations (39-XX)
22 Harmonic analysis on Euclidean spaces (42-XX)
22 Computer science (68-XX)
20 Mechanics of particles and systems (70-XX)
17 Functional analysis (46-XX)
14 Measure and integration (28-XX)
12 Quantum theory (81-XX)
11 Operations research, mathematical programming (90-XX)
9 Optics, electromagnetic theory (78-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
5 Combinatorics (05-XX)
5 Topological groups, Lie groups (22-XX)
5 Sequences, series, summability (40-XX)
5 Statistics (62-XX)
4 Number theory (11-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Geophysics (86-XX)
3 Functions of a complex variable (30-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 Group theory and generalizations (20-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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