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: 88 Publications since 2002 Co-Authors: 39 Co-Authors with 62 Joint Publications 2,522 Co-Co-Authors all top 5 Co-Authors 26 single-authored 30 Momani, Shaher M. 10 Shawagfeh, Nabil T. 9 Ouannas, Adel 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 2 Zerari, Amina 1 Abdelli, Mouna 1 Abuasad, Salah 1 Ahmad, Bashir 1 Al-Smadi, Mohammed H. 1 AlDhaifallah, Mujahed 1 Arqub, Omar Abu 1 Bahia, Ghenaiet 1 Bataineh, Ahmad Sami 1 Batiha, Iqbal M. 1 Duchamp, Gerard Henry Edmond 1 El-Ajou, Ahmad 1 Fafa, Wafia 1 Hashim, Ishak 1 Laoubi, Marwa 1 Maayah, Banan 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 7 Mathematical Methods in the Applied Sciences 5 Computers & Mathematics with Applications 5 Chaos, Solitons and Fractals 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 Numerical Methods for Partial Differential Equations 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 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 47 Numerical analysis (65-XX) 37 Real functions (26-XX) 35 Ordinary differential equations (34-XX) 26 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) 3 Special functions (33-XX) 3 Operator theory (47-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 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 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 cited Publications top 5 cited Publications 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) Citations by Year