Edit Profile (opens in new tab) Odibat, Zaid M. Co-Author Distance Author ID: odibat.zaid-m Published as: Odibat, Zaid; Odibat, Zaid M. Documents Indexed: 84 Publications since 2002 Co-Authors: 34 Co-Authors with 58 Joint Publications 2,404 Co-Co-Authors all top 5 Co-Authors 26 single-authored 30 Momani, Shaher M. 8 Ouannas, Adel 8 Shawagfeh, Nabil T. 5 Al-saedi, Ahmed Eid Salem 4 Erturk, Vedat Suat 3 Alawneh, Ahmed D. 3 Aziz-Alaoui, Moulay-Ahmed 3 Băleanu, Dumitru I. 3 Bertelle, Cyrille 3 Grassi, Giuseppe 3 Hayat, Tasawar 3 Kumar, Sunil 3 Pham, Viet-Thanh 2 Al-Qudah, Alaa 2 Alawneh, Ahmad 2 Corson, Nathalie 2 Khennaoui, Amina-Aicha 2 Kumar, Amit 1 Abdelli, Mouna 1 Abuasad, Salah 1 Ahmad, Bashir 1 Al-Smadi, Mohammed H. 1 AlDhaifallah, Mujahed 1 Arqub, Omar Abu 1 Bataineh, Ahmad Sami 1 Duchamp, Gerard Henry Edmond 1 El-Ajou, Ahmad 1 Fafa, Wafia 1 Hashim, Ishak 1 Nishimoto, Katsuyuki 1 Sooppy Nisar, Kottakkaran 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 4 International Journal of Applied and Computational Mathematics 3 Journal of Computational and Applied Mathematics 3 Mathematics and Computers in Simulation 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 1 International Journal of Modern Physics B 1 Journal of Mathematical Analysis and Applications 1 Physica A 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 1 AIMS Mathematics all top 5 Fields 43 Numerical analysis (65-XX) 35 Real functions (26-XX) 34 Ordinary differential equations (34-XX) 25 Partial differential equations (35-XX) 20 Integral equations (45-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Systems theory; control (93-XX) 6 Approximations and expansions (41-XX) 5 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 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 77 Publications have been cited 3,586 times in 2,209 Documents Cited by ▼ Year ▼ Generalized Taylor’s formula. Zbl 1122.26006Odibat, Zaid M.; Shawagfeh, Nabil T. 297 2007 Application of variational iteration method to nonlinear differential equations of fractional order. Zbl 1401.65087Odibat, Zaid M.; Momani, Shaher 246 2006 Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order. Zbl 1152.34311Odibat, Zaid; Momani, Shaher 188 2008 Homotopy perturbation method for nonlinear partial differential equations of fractional order. Zbl 1203.65212Momani, Shaher; Odibat, Zaid 165 2007 Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method. Zbl 1096.65131Momani, Shaher; Odibat, Zaid 153 2006 Numerical methods for nonlinear partial differential equations of fractional order. Zbl 1133.65116Odibat, Zaid; Momani, Shaher 149 2008 Numerical comparison of methods for solving linear differential equations of fractional order. Zbl 1137.65450Momani, Shaher; Odibat, Zaid 146 2007 A generalized differential transform method for linear partial differential equations of fractional order. Zbl 1132.35302Odibat, Zaid; Momani, Shaher 141 2008 Analytical approach to linear fractional partial differential equations arising in fluid mechanics. Zbl 1378.76084Momani, Shaher; Odibat, Zaid 140 2006 Numerical approach to differential equations of fractional order. Zbl 1119.65127Momani, Shaher; Odibat, Zaid 114 2007 The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics. Zbl 1189.65254Odibat, Zaid; Momani, Shaher 105 2009 Generalized differential transform method for solving a space- and time-fractional diffusion-wave equation. Zbl 1209.35066Momani, Shaher; Odibat, Zaid; Erturk, Vedat Suat 104 2007 Application of generalized differential transform method to multi-order fractional differential equations. Zbl 1221.34022Erturk, Vedat Suat; Momani, Shaher; Odibat, Zaid 85 2008 Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations. Zbl 1141.65398Momani, Shaher; Odibat, Zaid 83 2007 Generalized differential transform method: Application to differential equations of fractional order. Zbl 1141.65092Odibat, Zaid; Momani, Shaher; Erturk, Vedat Suat 74 2008 A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor’s formula. Zbl 1148.65099Momani, Shaher; Odibat, Zaid 72 2008 Adaptive feedback control and synchronization of non-identical chaotic fractional order systems. Zbl 1194.93105Odibat, Zaid M. 71 2010 Analytic study on linear systems of fractional differential equations. Zbl 1189.34017Odibat, Zaid M. 70 2010 A multi-step differential transform method and application to non-chaotic or chaotic systems. Zbl 1189.65170Odibat, Zaid M.; Bertelle, Cyrille; Aziz-Alaoui, M. A.; Duchamp, Gérard H. E. 62 2010 A study on the convergence of variational iteration method. Zbl 1198.65147Odibat, Zaid M. 62 2010 Synchronization of chaotic fractional-order systems via linear control. Zbl 1183.34095Odibat, Zaid M.; Corson, Nathalie; Aziz-Alaoui, M. A.; Bertelle, Cyrille 56 2010 A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations. Zbl 1185.65139Odibat, Zaid; Momani, Shaher; Xu, Hang 56 2010 Approximations of fractional integrals and Caputo fractional derivatives. Zbl 1101.65028Odibat, Zaid 56 2006 Variational iteration method for solving nonlinear boundary value problems. Zbl 1110.65068Momani, Shaher; Abuasad, Salah; Odibat, Zaid 52 2006 A note on phase synchronization in coupled chaotic fractional order systems. Zbl 1238.34121Odibat, Zaid 50 2012 The homotopy analysis method for handling systems of fractional differential equations. Zbl 1185.65140Zurigat, Mohammad; Momani, Shaher; Odibat, Zaid; Alawneh, Ahmad 48 2010 Approximate solutions for boundary value problems of time-fractional wave equation. Zbl 1148.65100Odibat, Zaid M.; Momani, Shaher 41 2006 Differential transform method for solving Volterra integral equation with separable kernels. Zbl 1187.45003Odibat, Zaid M. 39 2008 Variational iteration method for solving the space- and time-fractional KdV Equation. Zbl 1130.65132Momani, Shaher; Odibat, Zaid; Alawneh, Ahmed 37 2008 Numerical solution of Fokker-Planck equation with space- and time-fractional derivatives. Zbl 1209.65114Odibat, Zaid; Momani, Shaher 35 2007 A new modification of the homotopy perturbation method for linear and nonlinear operators. Zbl 1122.65092Odibat, Zaid M. 35 2007 A nonlinear fractional model to describe the population dynamics of two interacting species. Zbl 1368.34011Kumar, Sunil; Kumar, Amit; Odibat, Zaid M. 33 2017 Numerical solutions of the space-time fractional advection-dispersion equation. Zbl 1148.76044Momani, Shaher; Odibat, Zaid 32 2008 Numerical simulation of initial value problems with generalized Caputo-type fractional derivatives. Zbl 1453.65160Odibat, Zaid; Baleanu, Dumitru 30 2020 Computational algorithms for computing the fractional derivatives of functions. Zbl 1161.65319Odibat, Zaid M. 30 2009 An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus I (HTLV-I) infection of T-cells. Zbl 1228.92064Ertürk, Vedat Suat; Odibat, Zaid M.; Momani, Shaher 29 2011 A study on the convergence of homotopy analysis method. Zbl 1203.65105Odibat, Zaid M. 28 2010 Generalized synchronization of different dimensional chaotic dynamical systems in discrete time. Zbl 1347.34086Ouannas, Adel; Odibat, Zaid 26 2015 An adaptation of homotopy analysis method for reliable treatment of strongly nonlinear problems: construction of homotopy polynomials. Zbl 1318.34021Odibat, Zaid; Bataineh, A. Sami 25 2015 Fractional Green function for linear time-fractional inhomogeneous partial differential equations in fluid mechanics. Zbl 1134.35093Momani, Shaher; Odibat, Zaid M. 24 2007 A reliable treatment of homotopy perturbation method for Klein-Gordon equations. Zbl 1203.65213Odibat, Zaid; Momani, Shaher 24 2007 A comparison study of two modified analytical approach for the solution of nonlinear fractional shallow water equations in fluid flow. Zbl 1484.76017Kumar, Sunil; Kumar, Amit; Odibat, Zaid; Aldhaifallah, Mujahed; Nisar, Kottakkaran Sooppy 20 2020 Numerical solutions of time-fractional partial integrodifferential equations of Robin functions types in Hilbert space with error bounds and error estimates. Zbl 1422.45010Abu Arqub, Omar; Odibat, Zaid; Al-Smadi, Mohammed 20 2018 On Legendre polynomial approximation with the VIM or HAM for numerical treatment of nonlinear fractional differential equations. Zbl 1210.65132Odibat, Zaid 17 2011 Applications of variational iteration and homotopy perturbation methods to fractional evolution equations. Zbl 1172.26303Odibat, Zaid; Momani, Shaher 14 2008 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 1409.65040Odibat, Zaid 13 2019 Universal chaos synchronization control laws for general quadratic discrete systems. Zbl 1446.93051Ouannas, Adel; Odibat, Zaid; Shawagfeh, Nabil; Alsaedi, Ahmed; Ahmad, Bashir 12 2017 Algorithm for nonlinear fractional partial differential equations: a selection of numerical methods. Zbl 1172.26302Momani, Shaher; Odibat, Zaid; Hashim, Ishak 12 2008 On inverse generalized synchronization of continuous chaotic dynamical systems. Zbl 1420.37023Ouannas, Adel; Odibat, Zaid 11 2016 A new Q-S synchronization results for discrete chaotic systems. Zbl 1432.93205Ouannas, Adel; Odibat, Zaid; Shawagfeh, Nabil 11 2019 Chaos in fractional order cubic Chua system and synchronization. Zbl 1380.34019Odibat, Zaid; Corson, Nathalie; Aziz-Alaoui, M. A.; Alsaedi, Ahmed 11 2017 On the dynamics, control and synchronization of fractional-order Ikeda map. Zbl 1448.93186Ouannas, Adel; Khennaoui, Amina-Aicha; Odibat, Zaid; Pham, Viet-Thanh; Grassi, Giuseppe 10 2019 Reliable approaches of variational iteration method for nonlinear operators. Zbl 1145.65314Odibat, Zaid M. 10 2008 Fractional analysis of co-existence of some types of chaos synchronization. Zbl 1380.93134Ouannas, Adel; Odibat, Zaid; Hayat, Tasawar 10 2017 Construction of solitary solutions for nonlinear dispersive equations by variational iteration method. Zbl 1220.35143Odibat, Zaid M. 9 2008 Analytical comparison between the homotopy perturbation method and variational iteration method for differential equations of fractional orders. Zbl 1180.65178Odibat, Zaid; Momani, Shaher 8 2008 An optimized decomposition method for nonlinear ordinary and partial differential equations. Zbl 07527037Odibat, Zaid 8 2020 Computing eigenelements of boundary value problems with fractional derivatives. Zbl 1180.65096Odibat, Zaid M. 7 2009 A linearization-based approach of homotopy analysis method for non-linear time-fractional parabolic PDEs. Zbl 1444.35024Odibat, Zaid; Baleanu, Dumitru 7 2019 Exact solitary solutions for variants of the KdV equations with fractional time derivatives. Zbl 1197.65111Odibat, Zaid M. 7 2009 Fractional power series solutions of fractional differential equations by using generalized Taylor series. Zbl 1455.34009Odibat, Zaid 6 2020 A study on the convergence conditions of generalized differential transform method. Zbl 1354.26013Odibat, Zaid M.; Kumar, Sunil; Shawagfeh, Nabil; Alsaedi, Ahmed; Hayat, Tasawar 6 2017 Rectangular decomposition method for fractional diffusion-wave equations. Zbl 1100.65125Odibat, Zaid M. 6 2006 Compact and noncompact structures for nonlinear fractional evolution equations. Zbl 1217.81064Odibat, Zaid M. 6 2008 Solitary solutions for the nonlinear dispersive \(K(m,n)\) equations with fractional time derivatives. Zbl 1209.37090Odibat, Zaid M. 5 2007 Compact structures in a class of nonlinearly dispersive equations with time-fractional derivatives. Zbl 1157.65073Odibat, Zaid M. 4 2008 Construction of analytical solutions to fractional differential equations using homotopy analysis method. Zbl 1229.65143El-Ajou, Ahmad; Odibat, Zaid; Momani, Shaher; Alawneh, Ahmad 4 2010 A Riccati equation approach and travelling wave solutions for nonlinear evolution equations. Zbl 1392.35065Odibat, Zaid 4 2017 An improved optimal homotopy analysis algorithm for nonlinear differential equations. Zbl 1436.65154Odibat, Zaid 3 2020 A reliable modification of the rectangular decomposition method. Zbl 1109.65118Odibat, Zaid M. 3 2006 Negative power series solutions for a class of linear ordinary differential equations using N-fractional method. Zbl 1007.34003Alawneh, Ahmed; Odibat, Zaid; Nishimoto, Katsuyuki 2 2002 Synchronization control in reaction-diffusion systems: application to Lengyel-Epstein system. Zbl 1420.35131Ouannas, Adel; Abdelli, Mouna; Odibat, Zaid; Wang, Xiong; Pham, Viet-Thanh; Grassi, Giuseppe; Alsaedi, Ahmed 2 2019 On the approximation of integrals using homotopy perturbation method. Zbl 1182.65047Odibat, Zaid M. 1 2010 On the three-dimensional fractional-order Hénon map with Lorenz-like attractors. Zbl 1452.37043Khennaoui, Amina-Aicha; Ouannas, Adel; Odibat, Zaid; Pham, Viet-Thanh; Grassi, Giuseppe 1 2020 N-fractional calculus method to a class of linear integro-differential equations. Zbl 1016.45005Odibat, Zaid; Shawagfeh, Nabil 1 2002 A linearization-based computational algorithm of homotopy analysis method for nonlinear reaction-diffusion systems. Zbl 07478811Al-Qudah, Alaa; Odibat, Zaid; Shawagfeh, Nabil 1 2022 Analytical solution for the time-fractional Navier-Stokes equation. Zbl 1157.35082Odibat, Zaid M.; Momani, Shaher 1 2006 A linearization-based computational algorithm of homotopy analysis method for nonlinear reaction-diffusion systems. Zbl 07478811Al-Qudah, Alaa; Odibat, Zaid; Shawagfeh, Nabil 1 2022 Numerical simulation of initial value problems with generalized Caputo-type fractional derivatives. Zbl 1453.65160Odibat, Zaid; Baleanu, Dumitru 30 2020 A comparison study of two modified analytical approach for the solution of nonlinear fractional shallow water equations in fluid flow. Zbl 1484.76017Kumar, Sunil; Kumar, Amit; Odibat, Zaid; Aldhaifallah, Mujahed; Nisar, Kottakkaran Sooppy 20 2020 An optimized decomposition method for nonlinear ordinary and partial differential equations. Zbl 07527037Odibat, Zaid 8 2020 Fractional power series solutions of fractional differential equations by using generalized Taylor series. Zbl 1455.34009Odibat, Zaid 6 2020 An improved optimal homotopy analysis algorithm for nonlinear differential equations. Zbl 1436.65154Odibat, Zaid 3 2020 On the three-dimensional fractional-order Hénon map with Lorenz-like attractors. Zbl 1452.37043Khennaoui, Amina-Aicha; Ouannas, Adel; Odibat, Zaid; Pham, Viet-Thanh; Grassi, Giuseppe 1 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 1409.65040Odibat, Zaid 13 2019 A new Q-S synchronization results for discrete chaotic systems. Zbl 1432.93205Ouannas, Adel; Odibat, Zaid; Shawagfeh, Nabil 11 2019 On the dynamics, control and synchronization of fractional-order Ikeda map. Zbl 1448.93186Ouannas, Adel; Khennaoui, Amina-Aicha; Odibat, Zaid; Pham, Viet-Thanh; Grassi, Giuseppe 10 2019 A linearization-based approach of homotopy analysis method for non-linear time-fractional parabolic PDEs. Zbl 1444.35024Odibat, Zaid; Baleanu, Dumitru 7 2019 Synchronization control in reaction-diffusion systems: application to Lengyel-Epstein system. Zbl 1420.35131Ouannas, 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 1422.45010Abu Arqub, Omar; Odibat, Zaid; Al-Smadi, Mohammed 20 2018 A nonlinear fractional model to describe the population dynamics of two interacting species. Zbl 1368.34011Kumar, Sunil; Kumar, Amit; Odibat, Zaid M. 33 2017 Universal chaos synchronization control laws for general quadratic discrete systems. Zbl 1446.93051Ouannas, Adel; Odibat, Zaid; Shawagfeh, Nabil; Alsaedi, Ahmed; Ahmad, Bashir 12 2017 Chaos in fractional order cubic Chua system and synchronization. Zbl 1380.34019Odibat, Zaid; Corson, Nathalie; Aziz-Alaoui, M. A.; Alsaedi, Ahmed 11 2017 Fractional analysis of co-existence of some types of chaos synchronization. Zbl 1380.93134Ouannas, Adel; Odibat, Zaid; Hayat, Tasawar 10 2017 A study on the convergence conditions of generalized differential transform method. Zbl 1354.26013Odibat, Zaid M.; Kumar, Sunil; Shawagfeh, Nabil; Alsaedi, Ahmed; Hayat, Tasawar 6 2017 A Riccati equation approach and travelling wave solutions for nonlinear evolution equations. Zbl 1392.35065Odibat, Zaid 4 2017 On inverse generalized synchronization of continuous chaotic dynamical systems. Zbl 1420.37023Ouannas, Adel; Odibat, Zaid 11 2016 Generalized synchronization of different dimensional chaotic dynamical systems in discrete time. Zbl 1347.34086Ouannas, Adel; Odibat, Zaid 26 2015 An adaptation of homotopy analysis method for reliable treatment of strongly nonlinear problems: construction of homotopy polynomials. Zbl 1318.34021Odibat, Zaid; Bataineh, A. Sami 25 2015 A note on phase synchronization in coupled chaotic fractional order systems. Zbl 1238.34121Odibat, Zaid 50 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 1228.92064Ertürk, Vedat Suat; Odibat, Zaid M.; Momani, Shaher 29 2011 On Legendre polynomial approximation with the VIM or HAM for numerical treatment of nonlinear fractional differential equations. Zbl 1210.65132Odibat, Zaid 17 2011 Adaptive feedback control and synchronization of non-identical chaotic fractional order systems. Zbl 1194.93105Odibat, Zaid M. 71 2010 Analytic study on linear systems of fractional differential equations. Zbl 1189.34017Odibat, Zaid M. 70 2010 A multi-step differential transform method and application to non-chaotic or chaotic systems. Zbl 1189.65170Odibat, Zaid M.; Bertelle, Cyrille; Aziz-Alaoui, M. A.; Duchamp, Gérard H. E. 62 2010 A study on the convergence of variational iteration method. Zbl 1198.65147Odibat, Zaid M. 62 2010 Synchronization of chaotic fractional-order systems via linear control. Zbl 1183.34095Odibat, Zaid M.; Corson, Nathalie; Aziz-Alaoui, M. A.; Bertelle, Cyrille 56 2010 A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations. Zbl 1185.65139Odibat, Zaid; Momani, Shaher; Xu, Hang 56 2010 The homotopy analysis method for handling systems of fractional differential equations. Zbl 1185.65140Zurigat, Mohammad; Momani, Shaher; Odibat, Zaid; Alawneh, Ahmad 48 2010 A study on the convergence of homotopy analysis method. Zbl 1203.65105Odibat, Zaid M. 28 2010 Construction of analytical solutions to fractional differential equations using homotopy analysis method. Zbl 1229.65143El-Ajou, Ahmad; Odibat, Zaid; Momani, Shaher; Alawneh, Ahmad 4 2010 On the approximation of integrals using homotopy perturbation method. Zbl 1182.65047Odibat, Zaid M. 1 2010 The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics. Zbl 1189.65254Odibat, Zaid; Momani, Shaher 105 2009 Computational algorithms for computing the fractional derivatives of functions. Zbl 1161.65319Odibat, Zaid M. 30 2009 Computing eigenelements of boundary value problems with fractional derivatives. Zbl 1180.65096Odibat, Zaid M. 7 2009 Exact solitary solutions for variants of the KdV equations with fractional time derivatives. Zbl 1197.65111Odibat, Zaid M. 7 2009 Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order. Zbl 1152.34311Odibat, Zaid; Momani, Shaher 188 2008 Numerical methods for nonlinear partial differential equations of fractional order. Zbl 1133.65116Odibat, Zaid; Momani, Shaher 149 2008 A generalized differential transform method for linear partial differential equations of fractional order. Zbl 1132.35302Odibat, Zaid; Momani, Shaher 141 2008 Application of generalized differential transform method to multi-order fractional differential equations. Zbl 1221.34022Erturk, Vedat Suat; Momani, Shaher; Odibat, Zaid 85 2008 Generalized differential transform method: Application to differential equations of fractional order. Zbl 1141.65092Odibat, Zaid; Momani, Shaher; Erturk, Vedat Suat 74 2008 A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor’s formula. Zbl 1148.65099Momani, Shaher; Odibat, Zaid 72 2008 Differential transform method for solving Volterra integral equation with separable kernels. Zbl 1187.45003Odibat, Zaid M. 39 2008 Variational iteration method for solving the space- and time-fractional KdV Equation. Zbl 1130.65132Momani, Shaher; Odibat, Zaid; Alawneh, Ahmed 37 2008 Numerical solutions of the space-time fractional advection-dispersion equation. Zbl 1148.76044Momani, Shaher; Odibat, Zaid 32 2008 Applications of variational iteration and homotopy perturbation methods to fractional evolution equations. Zbl 1172.26303Odibat, Zaid; Momani, Shaher 14 2008 Algorithm for nonlinear fractional partial differential equations: a selection of numerical methods. Zbl 1172.26302Momani, Shaher; Odibat, Zaid; Hashim, Ishak 12 2008 Reliable approaches of variational iteration method for nonlinear operators. Zbl 1145.65314Odibat, Zaid M. 10 2008 Construction of solitary solutions for nonlinear dispersive equations by variational iteration method. Zbl 1220.35143Odibat, Zaid M. 9 2008 Analytical comparison between the homotopy perturbation method and variational iteration method for differential equations of fractional orders. Zbl 1180.65178Odibat, Zaid; Momani, Shaher 8 2008 Compact and noncompact structures for nonlinear fractional evolution equations. Zbl 1217.81064Odibat, Zaid M. 6 2008 Compact structures in a class of nonlinearly dispersive equations with time-fractional derivatives. Zbl 1157.65073Odibat, Zaid M. 4 2008 Generalized Taylor’s formula. Zbl 1122.26006Odibat, Zaid M.; Shawagfeh, Nabil T. 297 2007 Homotopy perturbation method for nonlinear partial differential equations of fractional order. Zbl 1203.65212Momani, Shaher; Odibat, Zaid 165 2007 Numerical comparison of methods for solving linear differential equations of fractional order. Zbl 1137.65450Momani, Shaher; Odibat, Zaid 146 2007 Numerical approach to differential equations of fractional order. Zbl 1119.65127Momani, Shaher; Odibat, Zaid 114 2007 Generalized differential transform method for solving a space- and time-fractional diffusion-wave equation. Zbl 1209.35066Momani, Shaher; Odibat, Zaid; Erturk, Vedat Suat 104 2007 Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations. Zbl 1141.65398Momani, Shaher; Odibat, Zaid 83 2007 Numerical solution of Fokker-Planck equation with space- and time-fractional derivatives. Zbl 1209.65114Odibat, Zaid; Momani, Shaher 35 2007 A new modification of the homotopy perturbation method for linear and nonlinear operators. Zbl 1122.65092Odibat, Zaid M. 35 2007 Fractional Green function for linear time-fractional inhomogeneous partial differential equations in fluid mechanics. Zbl 1134.35093Momani, Shaher; Odibat, Zaid M. 24 2007 A reliable treatment of homotopy perturbation method for Klein-Gordon equations. Zbl 1203.65213Odibat, Zaid; Momani, Shaher 24 2007 Solitary solutions for the nonlinear dispersive \(K(m,n)\) equations with fractional time derivatives. Zbl 1209.37090Odibat, Zaid M. 5 2007 Application of variational iteration method to nonlinear differential equations of fractional order. Zbl 1401.65087Odibat, Zaid M.; Momani, Shaher 246 2006 Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method. Zbl 1096.65131Momani, Shaher; Odibat, Zaid 153 2006 Analytical approach to linear fractional partial differential equations arising in fluid mechanics. Zbl 1378.76084Momani, Shaher; Odibat, Zaid 140 2006 Approximations of fractional integrals and Caputo fractional derivatives. Zbl 1101.65028Odibat, Zaid 56 2006 Variational iteration method for solving nonlinear boundary value problems. Zbl 1110.65068Momani, Shaher; Abuasad, Salah; Odibat, Zaid 52 2006 Approximate solutions for boundary value problems of time-fractional wave equation. Zbl 1148.65100Odibat, Zaid M.; Momani, Shaher 41 2006 Rectangular decomposition method for fractional diffusion-wave equations. Zbl 1100.65125Odibat, Zaid M. 6 2006 A reliable modification of the rectangular decomposition method. Zbl 1109.65118Odibat, Zaid M. 3 2006 Analytical solution for the time-fractional Navier-Stokes equation. Zbl 1157.35082Odibat, Zaid M.; Momani, Shaher 1 2006 Negative power series solutions for a class of linear ordinary differential equations using N-fractional method. Zbl 1007.34003Alawneh, Ahmed; Odibat, Zaid; Nishimoto, Katsuyuki 2 2002 N-fractional calculus method to a class of linear integro-differential equations. Zbl 1016.45005Odibat, Zaid; Shawagfeh, Nabil 1 2002 all cited Publications top 5 cited Publications all top 5 Cited by 3,030 Authors 71 Băleanu, Dumitru I. 63 Momani, Shaher M. 54 Odibat, Zaid M. 37 Dehghan Takht Fooladi, Mehdi 32 Ouannas, Adel 32 Yıldırım, Ahmet 25 Jafari, Hossein 24 Hashim, Ishak 22 Ordokhani, Yadollah 21 Biazar, Jafar 21 Kumar, Sunil 18 Yang, Xiao-Jun 17 Abbaszadeh, Mostafa 16 Grassi, Giuseppe 16 Kiliçman, Adem 16 Kumar, Devendra 15 Arqub, Omar Abu 15 Cattani, Carlo 15 Gómez-Aguilar, José Francisco 15 Inc, Mustafa 14 Bhrawy, Ali Hassan 14 Pham, Viet-Thanh 14 Razzaghi, Mohsen 14 Srivastava, Hari Mohan 13 Al-Smadi, Mohammed H. 13 Erturk, Vedat Suat 13 Ganji, Davood Domiri 13 Salahshour, Soheil 13 Singh, Jagdev 13 Wei, LeiLei 13 Yüzbaşı, Şuayip 12 Abbasbandy, Saeid 12 Alquran, Marwan Taiseer 12 Al-saedi, Ahmed Eid Salem 12 Aminikhah, Hossein 12 Li, Changpin 12 Machado, José António Tenreiro 12 Mohebbi, Akbar 12 Zhang, Xindong 11 Arafa, Anas. A. M. 11 Atangana, Abdon 11 Bendoukha, Samir 11 Effati, Sohrab 11 Golbabai, Ahmad 11 Kadem, Abdelouahab 11 Noorani, Mohd Salmi Mohd 11 Rahimkhani, Parisa 11 Shah, Kamal 10 Ahmadian, Ali 10 Demir, Ali 10 Freihat, Asad A. 10 Geng, Fazhan 10 Jaradat, Imad 10 Khennaoui, Amina-Aicha 10 Sayevand, Khosro 10 Ur Rehman, Mujeeb 10 Zhou, Ping 9 Agarwal, Praveen 9 He, Ji-Huan 9 Khalouta, Ali 9 Khan, Hassan Ali 9 Khan, Muhammad Altaf 9 Kumar, Sachin 9 Liu, Fawang 9 Owolabi, Kolade Matthew 9 Shawagfeh, Nabil T. 9 Wang, Kangle 9 Yousefi, Sohrab Ali 8 Abdeljawad, Thabet 8 Ahmad, Bashir 8 Akgül, Ali 8 Cao, Jinde 8 Chu, Yuming 8 Das, Subir 8 Dehestani, Haniye 8 El-Ajou, Ahmad 8 Ezz-Eldien, Samer S. 8 Ghazvini, H. 8 He, Yinnian 8 Heydari, Mohammad Hossien 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 Sumelka, Wojciech 8 Sweilam, Nasser Hassan 7 Aghababa, Mohammad Pourmahmood 7 Alomari, Abedel-Karrem 7 Babolian, Esmail 7 Carvalho, Ana R. M. 7 Gupta, Praveen Kumar 7 Javidi, Mohammad 7 Kumar, Pushpendra 7 Merdan, Mehmet 7 Saeed, Umer 7 Shahmorad, Sedaghat ...and 2,930 more Authors all top 5 Cited in 275 Serials 133 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 61 Journal of Computational and Applied Mathematics 60 Communications in Nonlinear Science and Numerical Simulation 59 Applied Mathematical Modelling 54 Mathematical Problems in Engineering 50 International Journal of Computer Mathematics 46 Fractals 45 International Journal of Applied and Computational Mathematics 39 Computational and Applied Mathematics 32 Mathematics and Computers in Simulation 29 Advances in Mathematical Physics 27 Physica A 27 Journal of Applied Mathematics and Computing 26 Applied Mathematics Letters 25 Mathematical Methods in the Applied Sciences 25 Discrete Dynamics in Nature and Society 24 Applied Numerical Mathematics 24 Journal of Applied Mathematics 23 International Journal of Numerical Methods for Heat & Fluid Flow 22 International Journal of Nonlinear Sciences and Numerical Simulation 22 Journal of Function Spaces 21 Numerical Algorithms 21 Fractional Calculus & Applied Analysis 21 International Journal of Differential Equations 20 Numerical Methods for Partial Differential Equations 18 Journal of Computational Physics 18 AIMS Mathematics 17 Mathematical and Computer Modelling 16 Complexity 16 International Journal of Biomathematics 15 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 13 Journal of Mathematical Chemistry 13 Nonlinear Analysis. Real World Applications 13 Computational Methods for Differential Equations 12 Mathematical Sciences 11 Journal of the Egyptian Mathematical Society 11 Chaos 11 Discrete and Continuous Dynamical Systems. Series S 11 S\(\vec{\text{e}}\)MA Journal 10 Journal of the Franklin Institute 10 Boundary Value Problems 9 Journal of Nonlinear Science and Applications 8 Physics Letters. A 8 Filomat 8 Waves in Random and Complex Media 8 Applications and Applied Mathematics 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 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 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Journal of Mathematical Extension 6 Mathematics 6 Iranian Journal of Numerical Analysis and Optimization 5 Journal of Mathematical Physics 5 Computational Mathematics and Modeling 5 Boletim da Sociedade Paranaense de Matemática. Terceira Série 5 Asian-European Journal of Mathematics 5 Symmetry 5 Journal of Applied Analysis and Computation 4 Computer Physics Communications 4 Engineering Analysis with Boundary Elements 4 Differential Equations and Dynamical Systems 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 The Australian Journal of Mathematical Analysis and Applications 4 Advances in Applied Mathematics and Mechanics 4 Afrika Matematika 4 Fractional Differential Calculus 4 Journal of Mathematics 4 Open Mathematics 3 International Journal of Modern Physics B 3 Computers and Fluids 3 International Journal of Theoretical Physics 3 Journal of Geometry and Physics 3 Journal of Optimization Theory and Applications 3 Meccanica 3 Optimal Control Applications & Methods 3 Acta Applicandae Mathematicae 3 Archives of Control Sciences 3 Taiwanese Journal of Mathematics 3 The ANZIAM Journal 3 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 International Journal of Wavelets, Multiresolution and Information Processing ...and 175 more Serials all top 5 Cited in 48 Fields 1,073 Numerical analysis (65-XX) 913 Ordinary differential equations (34-XX) 839 Partial differential equations (35-XX) 480 Real functions (26-XX) 260 Biology and other natural sciences (92-XX) 195 Integral equations (45-XX) 140 Systems theory; control (93-XX) 113 Fluid mechanics (76-XX) 110 Dynamical systems and ergodic theory (37-XX) 57 Calculus of variations and optimal control; optimization (49-XX) 48 Integral transforms, operational calculus (44-XX) 46 Approximations and expansions (41-XX) 46 Operator theory (47-XX) 44 Special functions (33-XX) 40 Mechanics of deformable solids (74-XX) 35 Probability theory and stochastic processes (60-XX) 35 Statistical mechanics, structure of matter (82-XX) 31 Classical thermodynamics, heat transfer (80-XX) 27 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 26 Information and communication theory, circuits (94-XX) 24 Difference and functional equations (39-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 20 Computer science (68-XX) 18 Mechanics of particles and systems (70-XX) 13 Quantum theory (81-XX) 13 Operations research, mathematical programming (90-XX) 12 Measure and integration (28-XX) 12 Functional analysis (46-XX) 9 Optics, electromagnetic theory (78-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 5 Topological groups, Lie groups (22-XX) 5 Sequences, series, summability (40-XX) 5 Statistics (62-XX) 4 Combinatorics (05-XX) 4 Functions of a complex variable (30-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Geophysics (86-XX) 3 Number theory (11-XX) 2 Mathematical logic and foundations (03-XX) 2 Algebraic topology (55-XX) 1 History and biography (01-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 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Citations by Year