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## Odibat, Zaid M.

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 Author ID: odibat.zaid-m Published as: Odibat, Zaid; Odibat, Zaid M.
 Documents Indexed: 78 Publications since 2002
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#### Co-Authors

 25 single-authored 30 Momani, Shaher M. 8 Ouannas, Adel 5 Al-saedi, Ahmed Eid Salem 5 Shawagfeh, Nabil T. 4 Erturk, Vedat Suat 3 Alawneh, Ahmed D. 3 Aziz-Alaoui, Moulay-Ahmed 3 Bertelle, Cyrille 3 Grassi, Giuseppe 3 Hayat, Tasawar 3 Pham, Viet-Thanh 2 Alawneh, Ahmad 2 Băleanu, Dumitru I. 2 Corson, Nathalie 2 Khennaoui, Amina-Aicha 2 Kumar, Sunil 1 Abdelli, Mouna 1 Abuasad, Salah 1 Ahmad, Bashir 1 Al-Smadi, Mohammed H. 1 Arqub, Omar Abu 1 Bataineh, A. Sami 1 Duchamp, Gerard Henry Edmond 1 El-Ajou, Ahmad 1 Hashim, Ishak 1 Kumar, Amit 1 Nishimoto, Katsuyuki 1 Wang, Xiong 1 Xu, Hang 1 Zurigat, Mohammad A.
all top 5

#### Serials

 12 Applied Mathematics and Computation 8 Physics Letters. A 5 Computers & Mathematics with Applications 5 Chaos, Solitons and Fractals 4 Mathematical Methods in the Applied Sciences 4 Applied Mathematical Modelling 3 Journal of Computational and Applied Mathematics 3 Mathematical and Computer Modelling 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Journal of Fractional Calculus 3 Nonlinear Dynamics 2 Applied Numerical Mathematics 2 Numerical Methods for Partial Differential Equations 2 Topological Methods in Nonlinear Analysis 2 International Journal of Applied and Computational Mathematics 1 International Journal of Modern Physics B 1 Journal of Mathematical Analysis and Applications 1 Mathematics and Computers in Simulation 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 International Journal of Computer Mathematics 1 Complexity 1 Differential Equations and Dynamical Systems 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Journal of Applied Mathematics and Computing 1 Journal of Concrete and Applicable Mathematics 1 Advances in Theoretical and Applied Mathematics 1 Applied and Computational Mathematics 1 IAENG. International Journal of Applied Mathematics
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#### Fields

 39 Numerical analysis (65-XX) 34 Real functions (26-XX) 32 Ordinary differential equations (34-XX) 23 Partial differential equations (35-XX) 20 Integral equations (45-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Systems theory; control (93-XX) 5 Approximations and expansions (41-XX) 4 Fluid mechanics (76-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Quantum theory (81-XX) 2 Biology and other natural sciences (92-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

71 Publications have been cited 2,870 times in 1,663 Documents Cited by Year
Analytical approach to linear fractional partial differential equations arising in fluid mechanics. Zbl 1378.76084
Momani, Shaher; Odibat, Zaid
2006
Application of variational iteration method to nonlinear differential equations of fractional order. Zbl 1401.65087
Odibat, Zaid M.; Momani, Shaher
2006
Generalized Taylor’s formula. Zbl 1122.26006
Odibat, Zaid M.; Shawagfeh, Nabil T.
2007
Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order. Zbl 1152.34311
Odibat, Zaid; Momani, Shaher
2008
Homotopy perturbation method for nonlinear partial differential equations of fractional order. Zbl 1203.65212
Momani, Shaher; Odibat, Zaid
2007
Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method. Zbl 1096.65131
Momani, Shaher; Odibat, Zaid
2006
Numerical comparison of methods for solving linear differential equations of fractional order. Zbl 1137.65450
Momani, Shaher; Odibat, Zaid
2007
Numerical methods for nonlinear partial differential equations of fractional order. Zbl 1133.65116
Odibat, Zaid; Momani, Shaher
2008
A generalized differential transform method for linear partial differential equations of fractional order. Zbl 1132.35302
Odibat, Zaid; Momani, Shaher
2008
Numerical approach to differential equations of fractional order. Zbl 1119.65127
Momani, Shaher; Odibat, Zaid
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
2007
The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics. Zbl 1189.65254
Odibat, Zaid; Momani, Shaher
2009
Application of generalized differential transform method to multi-order fractional differential equations. Zbl 1221.34022
Erturk, Vedat Suat; Momani, Shaher; Odibat, Zaid
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
2007
Adaptive feedback control and synchronization of non-identical chaotic fractional order systems. Zbl 1194.93105
Odibat, Zaid M.
2010
A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor’s formula. Zbl 1148.65099
Momani, Shaher; Odibat, Zaid
2008
Generalized differential transform method: Application to differential equations of fractional order. Zbl 1141.65092
Odibat, Zaid; Momani, Shaher; Erturk, Vedat Suat
2008
Analytic study on linear systems of fractional differential equations. Zbl 1189.34017
Odibat, Zaid M.
2010
Synchronization of chaotic fractional-order systems via linear control. Zbl 1183.34095
Odibat, Zaid M.; Corson, Nathalie; Aziz-Alaoui, M. A.; Bertelle, Cyrille
2010
A note on phase synchronization in coupled chaotic fractional order systems. Zbl 1238.34121
Odibat, Zaid
2012
Variational iteration method for solving nonlinear boundary value problems. Zbl 1110.65068
Momani, Shaher; Abuasad, Salah; Odibat, Zaid
2006
A study on the convergence of variational iteration method. Zbl 1198.65147
Odibat, Zaid M.
2010
The homotopy analysis method for handling systems of fractional differential equations. Zbl 1185.65140
Zurigat, Mohammad; Momani, Shaher; Odibat, Zaid; Alawneh, Ahmad
2010
A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations. Zbl 1185.65139
Odibat, Zaid; Momani, Shaher; Xu, Hang
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.
2010
Approximate solutions for boundary value problems of time-fractional wave equation. Zbl 1148.65100
Odibat, Zaid M.; Momani, Shaher
2006
Approximations of fractional integrals and Caputo fractional derivatives. Zbl 1101.65028
Odibat, Zaid
2006
Variational iteration method for solving the space- and time-fractional KdV Equation. Zbl 1130.65132
Momani, Shaher; Odibat, Zaid; Alawneh, Ahmed
2008
A new modification of the homotopy perturbation method for linear and nonlinear operators. Zbl 1122.65092
Odibat, Zaid M.
2007
Differential transform method for solving Volterra integral equation with separable kernels. Zbl 1187.45003
Odibat, Zaid M.
2008
A reliable treatment of homotopy perturbation method for Klein-Gordon equations. Zbl 1203.65213
Odibat, Zaid; Momani, Shaher
2007
Numerical solution of Fokker-Planck equation with space- and time-fractional derivatives. Zbl 1209.65114
Odibat, Zaid; Momani, Shaher
2007
Computational algorithms for computing the fractional derivatives of functions. Zbl 1161.65319
Odibat, Zaid M.
2009
Numerical solutions of the space-time fractional advection-dispersion equation. Zbl 1148.76044
Momani, Shaher; Odibat, Zaid
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
2011
A study on the convergence of homotopy analysis method. Zbl 1203.65105
Odibat, Zaid M.
2010
Generalized synchronization of different dimensional chaotic dynamical systems in discrete time. Zbl 1347.34086
Ouannas, Adel; Odibat, Zaid
2015
Fractional Green function for linear time-fractional inhomogeneous partial differential equations in fluid mechanics. Zbl 1134.35093
Momani, Shaher; Odibat, Zaid M.
2007
A nonlinear fractional model to describe the population dynamics of two interacting species. Zbl 1368.34011
Kumar, Sunil; Kumar, Amit; Odibat, Zaid M.
2017
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
2015
Applications of variational iteration and homotopy perturbation methods to fractional evolution equations. Zbl 1172.26303
Odibat, Zaid; Momani, Shaher
2008
Algorithm for nonlinear fractional partial differential equations: a selection of numerical methods. Zbl 1172.26302
Momani, Shaher; Odibat, Zaid; Hashim, Ishak
2008
On Legendre polynomial approximation with the VIM or HAM for numerical treatment of nonlinear fractional differential equations. Zbl 1210.65132
Odibat, Zaid
2011
Construction of solitary solutions for nonlinear dispersive equations by variational iteration method. Zbl 1220.35143
Odibat, Zaid M.
2008
Reliable approaches of variational iteration method for nonlinear operators. Zbl 1145.65314
Odibat, Zaid M.
2008
Fractional analysis of co-existence of some types of chaos synchronization. Zbl 1380.93134
Ouannas, Adel; Odibat, Zaid; Hayat, Tasawar
2017
Chaos in fractional order cubic Chua system and synchronization. Zbl 1380.34019
Odibat, Zaid; Corson, Nathalie; Aziz-Alaoui, M. A.; Alsaedi, Ahmed
2017
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
2019
Exact solitary solutions for variants of the KdV equations with fractional time derivatives. Zbl 1197.65111
Odibat, Zaid M.
2009
Compact and noncompact structures for nonlinear fractional evolution equations. Zbl 1217.81064
Odibat, Zaid M.
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
2008
Solitary solutions for the nonlinear dispersive $$K(m,n)$$ equations with fractional time derivatives. Zbl 1209.37090
Odibat, Zaid M.
2007
Rectangular decomposition method for fractional diffusion-wave equations. Zbl 1100.65125
Odibat, Zaid M.
2006
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
2018
Construction of analytical solutions to fractional differential equations using homotopy analysis method. Zbl 1229.65143
El-Ajou, Ahmad; Odibat, Zaid; Momani, Shaher; Alawneh, Ahmad
2010
Computing eigenelements of boundary value problems with fractional derivatives. Zbl 1180.65096
Odibat, Zaid M.
2009
Compact structures in a class of nonlinearly dispersive equations with time-fractional derivatives. Zbl 1157.65073
Odibat, Zaid M.
2008
A Riccati equation approach and travelling wave solutions for nonlinear evolution equations. Zbl 1392.35065
Odibat, Zaid
2017
On inverse generalized synchronization of continuous chaotic dynamical systems. Zbl 1420.37023
Ouannas, Adel; Odibat, Zaid
2016
A reliable modification of the rectangular decomposition method. Zbl 1109.65118
Odibat, Zaid M.
2006
Fractional power series solutions of fractional differential equations by using generalized Taylor series. Zbl 1455.34009
Odibat, Zaid
2020
A linearization-based approach of homotopy analysis method for non-linear time-fractional parabolic PDEs. Zbl 1444.35024
Odibat, Zaid; Baleanu, Dumitru
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
2002
Numerical simulation of initial value problems with generalized Caputo-type fractional derivatives. Zbl 1453.65160
Odibat, Zaid; Baleanu, Dumitru
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
2019
A new Q-S synchronization results for discrete chaotic systems. Zbl 1432.93205
Ouannas, Adel; Odibat, Zaid; Shawagfeh, Nabil
2019
Universal chaos synchronization control laws for general quadratic discrete systems. Zbl 1446.93051
Ouannas, Adel; Odibat, Zaid; Shawagfeh, Nabil; Alsaedi, Ahmed; Ahmad, Bashir
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
2017
On the approximation of integrals using homotopy perturbation method. Zbl 1182.65047
Odibat, Zaid M.
2010
Analytical solution for the time-fractional Navier-Stokes equation. Zbl 1157.35082
Odibat, Zaid M.; Momani, Shaher
2006
N-fractional calculus method to a class of linear integro-differential equations. Zbl 1016.45005
Odibat, Zaid; Shawagfeh, Nabil
2002
Fractional power series solutions of fractional differential equations by using generalized Taylor series. Zbl 1455.34009
Odibat, Zaid
2020
Numerical simulation of initial value problems with generalized Caputo-type fractional derivatives. Zbl 1453.65160
Odibat, Zaid; Baleanu, Dumitru
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
2019
A linearization-based approach of homotopy analysis method for non-linear time-fractional parabolic PDEs. Zbl 1444.35024
Odibat, Zaid; Baleanu, Dumitru
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
2019
A new Q-S synchronization results for discrete chaotic systems. Zbl 1432.93205
Ouannas, Adel; Odibat, Zaid; Shawagfeh, Nabil
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
2018
A nonlinear fractional model to describe the population dynamics of two interacting species. Zbl 1368.34011
Kumar, Sunil; Kumar, Amit; Odibat, Zaid M.
2017
Fractional analysis of co-existence of some types of chaos synchronization. Zbl 1380.93134
Ouannas, Adel; Odibat, Zaid; Hayat, Tasawar
2017
Chaos in fractional order cubic Chua system and synchronization. Zbl 1380.34019
Odibat, Zaid; Corson, Nathalie; Aziz-Alaoui, M. A.; Alsaedi, Ahmed
2017
A Riccati equation approach and travelling wave solutions for nonlinear evolution equations. Zbl 1392.35065
Odibat, Zaid
2017
Universal chaos synchronization control laws for general quadratic discrete systems. Zbl 1446.93051
Ouannas, Adel; Odibat, Zaid; Shawagfeh, Nabil; Alsaedi, Ahmed; Ahmad, Bashir
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
2017
On inverse generalized synchronization of continuous chaotic dynamical systems. Zbl 1420.37023
Ouannas, Adel; Odibat, Zaid
2016
Generalized synchronization of different dimensional chaotic dynamical systems in discrete time. Zbl 1347.34086
Ouannas, Adel; Odibat, Zaid
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
2015
A note on phase synchronization in coupled chaotic fractional order systems. Zbl 1238.34121
Odibat, Zaid
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
2011
On Legendre polynomial approximation with the VIM or HAM for numerical treatment of nonlinear fractional differential equations. Zbl 1210.65132
Odibat, Zaid
2011
Adaptive feedback control and synchronization of non-identical chaotic fractional order systems. Zbl 1194.93105
Odibat, Zaid M.
2010
Analytic study on linear systems of fractional differential equations. Zbl 1189.34017
Odibat, Zaid M.
2010
Synchronization of chaotic fractional-order systems via linear control. Zbl 1183.34095
Odibat, Zaid M.; Corson, Nathalie; Aziz-Alaoui, M. A.; Bertelle, Cyrille
2010
A study on the convergence of variational iteration method. Zbl 1198.65147
Odibat, Zaid M.
2010
The homotopy analysis method for handling systems of fractional differential equations. Zbl 1185.65140
Zurigat, Mohammad; Momani, Shaher; Odibat, Zaid; Alawneh, Ahmad
2010
A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations. Zbl 1185.65139
Odibat, Zaid; Momani, Shaher; Xu, Hang
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.
2010
A study on the convergence of homotopy analysis method. Zbl 1203.65105
Odibat, Zaid M.
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
2010
On the approximation of integrals using homotopy perturbation method. Zbl 1182.65047
Odibat, Zaid M.
2010
The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics. Zbl 1189.65254
Odibat, Zaid; Momani, Shaher
2009
Computational algorithms for computing the fractional derivatives of functions. Zbl 1161.65319
Odibat, Zaid M.
2009
Exact solitary solutions for variants of the KdV equations with fractional time derivatives. Zbl 1197.65111
Odibat, Zaid M.
2009
Computing eigenelements of boundary value problems with fractional derivatives. Zbl 1180.65096
Odibat, Zaid M.
2009
Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order. Zbl 1152.34311
Odibat, Zaid; Momani, Shaher
2008
Numerical methods for nonlinear partial differential equations of fractional order. Zbl 1133.65116
Odibat, Zaid; Momani, Shaher
2008
A generalized differential transform method for linear partial differential equations of fractional order. Zbl 1132.35302
Odibat, Zaid; Momani, Shaher
2008
Application of generalized differential transform method to multi-order fractional differential equations. Zbl 1221.34022
Erturk, Vedat Suat; Momani, Shaher; Odibat, Zaid
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
2008
Generalized differential transform method: Application to differential equations of fractional order. Zbl 1141.65092
Odibat, Zaid; Momani, Shaher; Erturk, Vedat Suat
2008
Variational iteration method for solving the space- and time-fractional KdV Equation. Zbl 1130.65132
Momani, Shaher; Odibat, Zaid; Alawneh, Ahmed
2008
Differential transform method for solving Volterra integral equation with separable kernels. Zbl 1187.45003
Odibat, Zaid M.
2008
Numerical solutions of the space-time fractional advection-dispersion equation. Zbl 1148.76044
Momani, Shaher; Odibat, Zaid
2008
Applications of variational iteration and homotopy perturbation methods to fractional evolution equations. Zbl 1172.26303
Odibat, Zaid; Momani, Shaher
2008
Algorithm for nonlinear fractional partial differential equations: a selection of numerical methods. Zbl 1172.26302
Momani, Shaher; Odibat, Zaid; Hashim, Ishak
2008
Construction of solitary solutions for nonlinear dispersive equations by variational iteration method. Zbl 1220.35143
Odibat, Zaid M.
2008
Reliable approaches of variational iteration method for nonlinear operators. Zbl 1145.65314
Odibat, Zaid M.
2008
Compact and noncompact structures for nonlinear fractional evolution equations. Zbl 1217.81064
Odibat, Zaid M.
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
2008
Compact structures in a class of nonlinearly dispersive equations with time-fractional derivatives. Zbl 1157.65073
Odibat, Zaid M.
2008
Generalized Taylor’s formula. Zbl 1122.26006
Odibat, Zaid M.; Shawagfeh, Nabil T.
2007
Homotopy perturbation method for nonlinear partial differential equations of fractional order. Zbl 1203.65212
Momani, Shaher; Odibat, Zaid
2007
Numerical comparison of methods for solving linear differential equations of fractional order. Zbl 1137.65450
Momani, Shaher; Odibat, Zaid
2007
Numerical approach to differential equations of fractional order. Zbl 1119.65127
Momani, Shaher; Odibat, Zaid
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
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
2007
A new modification of the homotopy perturbation method for linear and nonlinear operators. Zbl 1122.65092
Odibat, Zaid M.
2007
A reliable treatment of homotopy perturbation method for Klein-Gordon equations. Zbl 1203.65213
Odibat, Zaid; Momani, Shaher
2007
Numerical solution of Fokker-Planck equation with space- and time-fractional derivatives. Zbl 1209.65114
Odibat, Zaid; Momani, Shaher
2007
Fractional Green function for linear time-fractional inhomogeneous partial differential equations in fluid mechanics. Zbl 1134.35093
Momani, Shaher; Odibat, Zaid M.
2007
Solitary solutions for the nonlinear dispersive $$K(m,n)$$ equations with fractional time derivatives. Zbl 1209.37090
Odibat, Zaid M.
2007
Analytical approach to linear fractional partial differential equations arising in fluid mechanics. Zbl 1378.76084
Momani, Shaher; Odibat, Zaid
2006
Application of variational iteration method to nonlinear differential equations of fractional order. Zbl 1401.65087
Odibat, Zaid M.; Momani, Shaher
2006
Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method. Zbl 1096.65131
Momani, Shaher; Odibat, Zaid
2006
Variational iteration method for solving nonlinear boundary value problems. Zbl 1110.65068
Momani, Shaher; Abuasad, Salah; Odibat, Zaid
2006
Approximate solutions for boundary value problems of time-fractional wave equation. Zbl 1148.65100
Odibat, Zaid M.; Momani, Shaher
2006
Approximations of fractional integrals and Caputo fractional derivatives. Zbl 1101.65028
Odibat, Zaid
2006
Rectangular decomposition method for fractional diffusion-wave equations. Zbl 1100.65125
Odibat, Zaid M.
2006
A reliable modification of the rectangular decomposition method. Zbl 1109.65118
Odibat, Zaid M.
2006
Analytical solution for the time-fractional Navier-Stokes equation. Zbl 1157.35082
Odibat, Zaid M.; Momani, Shaher
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
2002
N-fractional calculus method to a class of linear integro-differential equations. Zbl 1016.45005
Odibat, Zaid; Shawagfeh, Nabil
2002
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all top 5

#### Cited in 215 Serials

 134 Computers & Mathematics with Applications 121 Applied Mathematics and Computation 89 Abstract and Applied Analysis 77 Chaos, Solitons and Fractals 62 Nonlinear Dynamics 62 Advances in Difference Equations 55 Journal of Computational and Applied Mathematics 55 Applied Mathematical Modelling 51 Mathematical Problems in Engineering 49 Communications in Nonlinear Science and Numerical Simulation 38 International Journal of Computer Mathematics 26 Physics Letters. A 26 Computational and Applied Mathematics 25 Mathematical Methods in the Applied Sciences 24 Applied Mathematics Letters 23 International Journal of Numerical Methods for Heat & Fluid Flow 23 Discrete Dynamics in Nature and Society 21 Journal of Applied Mathematics 20 Numerical Methods for Partial Differential Equations 19 Numerical Algorithms 19 Fractional Calculus & Applied Analysis 19 International Journal of Differential Equations 18 Journal of Computational Physics 18 Mathematical and Computer Modelling 18 Advances in Mathematical Physics 17 International Journal of Applied and Computational Mathematics 16 Applied Numerical Mathematics 15 Complexity 15 International Journal of Nonlinear Sciences and Numerical Simulation 14 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 14 Journal of Applied Mathematics and Computing 13 Nonlinear Analysis. Real World Applications 12 International Journal of Biomathematics 11 Chaos 10 Mathematics and Computers in Simulation 10 Journal of Mathematical Chemistry 9 Journal of the Egyptian Mathematical Society 9 Journal of Nonlinear Science and Applications 8 Journal of the Franklin Institute 7 Acta Mechanica 7 Journal of Mathematical Analysis and Applications 7 Boundary Value Problems 7 International Journal for Numerical Methods in Biomedical Engineering 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Journal of Vibration and Control 6 Applications and Applied Mathematics 6 S$$\vec{\text{e}}$$MA Journal 6 Journal of Function Spaces 5 Computer Physics Communications 5 Journal of Mathematical Physics 5 Journal of Scientific Computing 5 Computational Mathematics and Modeling 5 Fractals 5 Tbilisi Mathematical Journal 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Journal of Applied Analysis and Computation 5 Mathematics 5 Computational Methods for Differential Equations 5 Open Mathematics 4 International Journal of Mathematics and Mathematical Sciences 4 Iranian Journal of Science and Technology. Transaction A: Science 4 International Journal of Computational Methods 4 Mediterranean Journal of Mathematics 4 Mathematical Modelling of Natural Phenomena 4 Discrete and Continuous Dynamical Systems. Series S 4 Symmetry 4 Afrika Matematika 4 Mathematical Sciences 3 International Journal of Modern Physics B 3 Computers and Fluids 3 Physica A 3 Journal of Optimization Theory and Applications 3 Meccanica 3 Optimal Control Applications & Methods 3 Acta Applicandae Mathematicae 3 Differential Equations and Dynamical Systems 3 Taiwanese Journal of Mathematics 3 Soft Computing 3 The ANZIAM Journal 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Boletim da Sociedade Paranaense de Matemática. Terceira Série 3 Inverse Problems in Science and Engineering 3 European Journal of Pure and Applied Mathematics 3 Asian Journal of Control 3 Journal of Mathematics 2 Modern Physics Letters B 2 Applicable Analysis 2 Computer Methods in Applied Mechanics and Engineering 2 International Journal of Theoretical Physics 2 Journal of Statistical Physics 2 Mathematical Biosciences 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Journal of Geometry and Physics 2 Fuzzy Sets and Systems 2 Neural Networks 2 The Journal of Analysis 2 Communications in Numerical Methods in Engineering 2 Russian Journal of Mathematical Physics 2 Engineering Analysis with Boundary Elements 2 Journal of Applied Analysis ...and 115 more Serials
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#### Cited in 47 Fields

 867 Numerical analysis (65-XX) 676 Ordinary differential equations (34-XX) 636 Partial differential equations (35-XX) 289 Real functions (26-XX) 172 Integral equations (45-XX) 137 Biology and other natural sciences (92-XX) 114 Systems theory; control (93-XX) 86 Dynamical systems and ergodic theory (37-XX) 83 Fluid mechanics (76-XX) 46 Calculus of variations and optimal control; optimization (49-XX) 36 Approximations and expansions (41-XX) 33 Operator theory (47-XX) 32 Mechanics of deformable solids (74-XX) 29 Special functions (33-XX) 28 Integral transforms, operational calculus (44-XX) 24 Probability theory and stochastic processes (60-XX) 22 Classical thermodynamics, heat transfer (80-XX) 19 Information and communication theory, circuits (94-XX) 16 Computer science (68-XX) 15 Mechanics of particles and systems (70-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Difference and functional equations (39-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 12 Quantum theory (81-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Functional analysis (46-XX) 8 Operations research, mathematical programming (90-XX) 7 Measure and integration (28-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Topological groups, Lie groups (22-XX) 5 Optics, electromagnetic theory (78-XX) 4 Combinatorics (05-XX) 4 Number theory (11-XX) 4 Functions of a complex variable (30-XX) 3 Sequences, series, summability (40-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistics (62-XX) 3 Geophysics (86-XX) 2 Mathematical logic and foundations (03-XX) 2 Algebraic topology (55-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX)