Edit Profile (opens in new tab) Momani, Shaher M. Co-Author Distance Author ID: momani.shaher-m Published as: Momani, Shaher; Momani, S.; Momani, S. M.; Momani, Shaher M.; Momanic, Shaher more...less Homepage: https://www.ajman.ac.ae/en/chs/directory/staff/shaher-mohammad-ahmad-momani External Links: ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND Documents Indexed: 212 Publications since 1996 1 Contribution as Editor Co-Authors: 143 Co-Authors with 196 Joint Publications 4,836 Co-Co-Authors all top 5 Co-Authors 16 single-authored 30 Odibat, Zaid M. 25 Arqub, Omar Abu 21 Al-Smadi, Mohammed H. 20 Erturk, Vedat Suat 16 Hadid, Samir B. 14 Hashim, Ishak 11 El-Ajou, Ahmad 9 Ghaderi, Reza 9 Maayah, Banan 8 Alawneh, Ahmad 8 Ibrahim, Rabha Waell 8 Moaddy, Khaled 8 Noor, Muhammad Aslam 7 Al-Omari, Shrideh Khalaf Qasem 7 Băleanu, Dumitru I. 7 Hasan, Shatha 7 Ranjbar Noiey, Abolzafl 6 Agarwal, Praveen 6 Al-saedi, Ahmed Eid Salem 6 Hosseinnia, Seyed Hassan 5 Alquran, Marwan Taiseer 5 Bushnaq, Samia Saleem 5 Freihat, Asad A. 5 Shawagfeh, Nabil T. 5 Yousef, Feras 5 Zurigat, Mohammad A. 4 Abdulaziz, O. 4 Delavari, Hadi 4 Kumar, Sunil 4 Oqielat, Moa’ath Nasser 4 Yıldırım, Ahmet 4 Zaman, Gul 4 Zhour, Zeyad Al 3 Abo-Hammour, Za’er S. 3 Al-Khaled, Kamel M. 3 Albadarneh, Ramzi B. 3 Batiha, Iqbal M. 3 Chowdhury, M. S. H. 3 Djeddi, Nadir 3 Hayat, Tasawar 3 Jafari, Hossein 3 Jaradat, Imad 3 Jawdat, Jadallah M. 3 Ouannas, Adel 3 Qaralleh, Rami 3 Zeb, Anwar 2 Abuasad, Salah 2 Ahmad, Muhammad Zaini 2 Al-Mezel, Saleh Abdullah Rasheed 2 Al-Rabtah, Adel H. 2 Alawneh, Ahmed D. 2 Albzeirat, Asia Khalaf 2 Chauhan, R. P. 2 Edwan, Reem 2 El-Khazali, Reyad 2 Eriqat, Tareq 2 Freihet, Asad 2 Fulga, Andreea 2 Grassi, Giuseppe 2 Jain, Shilpi 2 Kausar, Nasreen 2 Khennaoui, Amina-Aicha 2 Kutbi, Marwan Amin 2 Mahmoudian, Mohammad 2 Pham, Viet-Thanh 2 Radwan, Ahmed G. 2 Sadati, Jalil 2 Shams, Mudassir 1 Abbas, Syed 1 Abdel-Muhsen, Ruwa 1 Abdous, Farzad 1 Abu-Gurra, Sana 1 Abukhaled, Marwan I. 1 Abuteen, Eman 1 Ahmed, Shams Forruque 1 Al-Azawi, Sora 1 Al-deiakeh, Rawya 1 Al-Omari, Ahmad Abdullah 1 Al-Salman, Ahmad 1 Alawenh, Z. M. 1 AlDhaifallah, Mujahed 1 Alnabulsi, Salam 1 Alnasr, Modi H. 1 Alomari, Abedel-Karrem 1 Alqaraleh, Sahar M. 1 Alsharari, Fahad 1 Alsulami, Hamed Hamdan 1 Altayed, Yousif 1 Altulea, Dania 1 Alzalg, Baha M. 1 Araci, Serkan 1 Banerjee, Malay 1 Bhadauria, Beer Singh 1 Cattani, Carlo 1 Chellouf, Yassamine 1 Chen, Yangquan 1 Darus, Maslina 1 Dibi, Zohir 1 Doğan, Nurettin 1 Dutta, Hemen ...and 43 more Co-Authors all top 5 Serials 20 Applied Mathematics and Computation 18 Computers & Mathematics with Applications 11 Advances in Difference Equations 8 Physics Letters. A 8 Fractals 7 Chaos, Solitons and Fractals 7 Abstract and Applied Analysis 6 Applied Mathematical Modelling 6 Journal of Fractional Calculus 6 Communications in Nonlinear Science and Numerical Simulation 4 Journal of Computational and Applied Mathematics 4 International Journal of Computer Mathematics 4 Discrete Dynamics in Nature and Society 4 Far East Journal of Mathematical Sciences 4 Nonlinear Analysis Forum 3 Kybernetes 3 Numerical Methods for Partial Differential Equations 3 Mathematical Problems in Engineering 3 International Journal of Pure and Applied Mathematics 3 Applied and Computational Mathematics 3 Journal of Function Spaces 2 Journal of Computational Physics 2 Journal of Mathematical Analysis and Applications 2 International Journal of Mathematics and Mathematical Sciences 2 Mathematics and Computers in Simulation 2 Applied Mathematics Letters 2 Topological Methods in Nonlinear Analysis 2 Soft Computing 2 Chaos 2 Journal of Computational Analysis and Applications 2 International Journal of Applied Mathematics 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 International Journal of Computational and Numerical Analysis and Applications (IJCNAA) 2 Journal of Applied Mathematics and Computing 2 Surveys in Mathematics and its Applications 2 Sains Malaysiana 2 International Journal of Biomathematics 1 International Journal of Modern Physics B 1 Journal of Geometry and Physics 1 Journal of Optimization Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Soochow Journal of Mathematics 1 Revista Técnica de la Facultad de Ingenieria 1 Southeast Asian Bulletin of Mathematics 1 Applied Numerical Mathematics 1 Journal of the Ramanujan Mathematical Society 1 Panamerican Mathematical Journal 1 Numerical Algorithms 1 Studia Universitatis Babeș-Bolyai. Mathematica 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Archives of Control Sciences 1 Neural, Parallel & Scientific Computations 1 Computational and Applied Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Turkish Journal of Mathematics 1 Filomat 1 Nonlinear Dynamics 1 Fractional Calculus & Applied Analysis 1 Mathematical & Computational Applications 1 International Journal of Modern Physics C 1 Nonlinear Functional Analysis and Applications 1 Mathematical Modelling and Analysis 1 Applied Mathematics E-Notes 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Entropy 1 Analysis in Theory and Applications 1 Thai Journal of Mathematics 1 International Journal of Computational Methods 1 International Journal of Mathematics and Computer Science 1 Advances in Theoretical and Applied Mathematics 1 Mathematical Modelling of Natural Phenomena 1 Journal of Nonlinear Science and Applications 1 Journal of Algorithms & Computational Technology 1 Advances in Mathematical Physics 1 IAENG. International Journal of Applied Mathematics 1 Springer Proceedings in Mathematics & Statistics 1 AIMS Mathematics all top 5 Fields 118 Numerical analysis (65-XX) 98 Ordinary differential equations (34-XX) 92 Real functions (26-XX) 46 Partial differential equations (35-XX) 43 Integral equations (45-XX) 20 Biology and other natural sciences (92-XX) 13 Fluid mechanics (76-XX) 11 Systems theory; control (93-XX) 10 Dynamical systems and ergodic theory (37-XX) 7 Operator theory (47-XX) 6 Functional analysis (46-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Functions of a complex variable (30-XX) 3 Integral transforms, operational calculus (44-XX) 3 Operations research, mathematical programming (90-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 172 Publications have been cited 5,672 times in 3,035 Documents Cited by ▼ Year ▼ Application of variational iteration method to nonlinear differential equations of fractional order. Zbl 1401.65087Odibat, Zaid M.; Momani, Shaher 246 2006 Application of He’s variational iteration method to Helmholtz equation. Zbl 1086.65113Momani, Shaher; Abuasad, Salah 197 2006 Homotopy analysis method for fractional IVPs. Zbl 1221.65277Hashim, I.; Abdulaziz, O.; Momani, S. 194 2009 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 Decomposition method for solving fractional Riccati differential equations. Zbl 1107.65121Momani, Shaher; Shawagfeh, Nabil 92 2006 Solving systems of fractional differential equations using differential transform method. Zbl 1141.65088Ertürk, Vedat Suat; Momani, Shaher 90 2008 Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method. Zbl 1377.65079Arqub, Omar Abu; AL-Smadi, Mohammed; Momani, Shaher; Hayat, Tasawar 90 2016 Application of generalized differential transform method to multi-order fractional differential equations. Zbl 1221.34022Erturk, Vedat Suat; Momani, Shaher; Odibat, Zaid 85 2008 Approximate analytical solution of the nonlinear fractional KdV-Burgers equation: a new iterative algorithm. Zbl 1349.65546El-Ajou, Ahmad; Arqub, Omar Abu; Momani, Shaher 84 2015 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 Analytic and approximate solutions of the space- and time-fractional telegraph equations. Zbl 1103.65335Momani, Shaher 83 2005 An explicit and numerical solutions of the fractional KdV equation. Zbl 1119.65394Momani, Shaher 76 2005 Numerical methods for fourth-order fractional integro-differential equations. Zbl 1107.65120Momani, Shaher; Noor, Muhammad Aslam 75 2006 Existence of the mild solution for fractional semilinear initial value problems. Zbl 1160.34300Jaradat, Omar K.; Al-Omari, Ahmad; Momani, Shaher 75 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 Application of Legendre wavelets for solving fractional differential equations. Zbl 1228.65253Jafari, H.; Yousefi, S. A.; Firoozjaee, M. A.; Momani, S.; Khalique, C. M. 72 2011 Numerical solutions for systems of fractional differential equations by the decomposition method. Zbl 1063.65055Momani, Shaher; Al-Khaled, Kamel 69 2005 Non-perturbative analytical solutions of the space- and time-fractional Burgers equations. Zbl 1099.35118Momani, Shaher 69 2006 Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems. Zbl 1453.65169Arqub, Omar Abu; Al-Smadi, Mohammed; Momani, Shaher; Hayat, Tasawar 69 2017 New results on fractional power series: theories and applications. Zbl 1337.26010El-Ajou, Ahmad; Arqub, Omar Abu; Zhour, Zeyad Al; Momani, Shaher 63 2013 Solving systems of fractional differential equations by homotopy-perturbation method. Zbl 1217.81080Abdulaziz, O.; Hashim, I.; Momani, S. 61 2008 A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations. Zbl 1185.65139Odibat, Zaid; Momani, Shaher; Xu, Hang 56 2010 Solving fractional diffusion and wave equations by modified homotopy perturbation method. Zbl 1209.65111Jafari, Hossein; Momani, Shaher 55 2007 Variational iteration method for solving nonlinear boundary value problems. Zbl 1110.65068Momani, Shaher; Abuasad, Salah; Odibat, Zaid 52 2006 Sliding mode synchronization of an uncertain fractional order chaotic system. Zbl 1189.34011Hosseinnia, S. H.; Ghaderi, R.; Ranjbar N., A.; Mahmoudian, M.; Momani, S. 50 2010 The homotopy analysis method for handling systems of fractional differential equations. Zbl 1185.65140Zurigat, Mohammad; Momani, Shaher; Odibat, Zaid; Alawneh, Ahmad 48 2010 On the existence and uniqueness of solutions of a class of fractional differential equations. Zbl 1123.34302Ibrahim, Rabha W.; Momani, Shaher 48 2007 A novel expansion iterative method for solving linear partial differential equations of fractional order. Zbl 1339.65201El-Ajou, Ahmad; Abu Arqub, Omar; Momani, Shaher; Baleanu, Dumitru; Alsaedi, Ahmed 44 2015 Analytical approximate solution for fractional heat-like and wave-like equations with variable coefficients using the decomposition method. Zbl 1070.65105Momani, Shaher 42 2005 Constructing and predicting solitary pattern solutions for nonlinear time-fractional dispersive partial differential equations. Zbl 1349.35394Arqub, Omar Abu; El-Ajou, Ahmad; Momani, Shaher 42 2015 Approximate solutions for boundary value problems of time-fractional wave equation. Zbl 1148.65100Odibat, Zaid M.; Momani, Shaher 41 2006 Application of homotopy-perturbation method to fractional IVPs. Zbl 1142.65104Abdulaziz, O.; Hashim, I.; Momani, S. 40 2008 The non-standard finite difference scheme for linear fractional PDEs in fluid mechanics. Zbl 1217.65174Moaddy, K.; Momani, S.; Hashim, I. 39 2011 A computational method for two-point boundary value problems of fourth-order mixed integrodifferential equations. Zbl 1299.65297Al-Smadi, Mohammed; Abu Arqub, Omar; Momani, Shaher 37 2013 Variational iteration method for solving the space- and time-fractional KdV Equation. Zbl 1130.65132Momani, Shaher; Odibat, Zaid; Alawneh, Ahmed 37 2008 An efficient method for solving systems of fractional integro-differential equations. Zbl 1137.65072Momani, S.; Qaralleh, R. 37 2006 An approximate solution for a fractional diffusion-wave equation using the decomposition method. Zbl 1071.65135Al-Khaled, Kamel; Momani, Shaher 35 2005 Numerical solution of Fokker-Planck equation with space- and time-fractional derivatives. Zbl 1209.65114Odibat, Zaid; Momani, Shaher 35 2007 Numerical approximations and padé approximants for a fractional population growth model. Zbl 1167.45300Momani, Shaher; Qaralleh, Rami 34 2007 Using an enhanced homotopy perturbation method in fractional differential equations via deforming the linear part. Zbl 1165.65375Hosseinnia, S. H.; Ranjbar, A.; Momani, S. 34 2008 Application of reproducing kernel method for solving nonlinear Fredholm-Volterra integrodifferential equations. Zbl 1253.65200Arqub, Omar Abu; Al-Smadi, Mohammed; Momani, Shaher 34 2012 An algorithm for solving the fractional convection-diffusion equation with nonlinear source term. Zbl 1118.35301Momani, Shaher 33 2007 Numerical investigations for systems of second-order periodic boundary value problems using reproducing kernel method. Zbl 1410.34054Al-Smadi, Mohammed; Arqub, Omar Abu; Shawagfeh, Nabil; Momani, Shaher 33 2016 A numeric-analytic method for approximating a giving up smoking model containing fractional derivatives. Zbl 1268.65107Ertürk, Vedat Suat; Zaman, Gul; Momani, Shaher 33 2012 Numerical solutions of the space-time fractional advection-dispersion equation. Zbl 1148.76044Momani, Shaher; Odibat, Zaid 32 2008 Approximate wave solutions for generalized Benjamin-Bona-Mahony-Burgers equations. Zbl 1084.65097Al-Khaled, Kamel; Momani, Shaher; Alawneh, Ahmed 32 2005 Solutions of nonlinear oscillators by the modified differential transform method. Zbl 1142.65058Momani, Shaher; Ertürk, Vedat Suat 32 2008 Lyapunov stability solutions of fractional integrodifferential equations. Zbl 1074.45006Momani, Shaher; Hadid, Samir 30 2004 Analytical approximate solutions of the fractional convection-diffusion equation with nonlinear source term by He’s homotopy perturbation method. Zbl 1192.65137Momani, Shaher; Yıldırım, Ahmet 30 2010 Dynamical analysis of fractional-order modified logistic model. Zbl 1228.34008Abbas, Syed; Banerjee, Malay; Momani, Shaher 30 2011 Solitary solutions for time-fractional nonlinear dispersive PDEs in the sense of conformable fractional derivative. Zbl 1423.35392El-Ajou, Ahmad; Oqielat, Moa’Ath N.; Al-Zhour, Zeyad; Kumar, Sunil; Momani, Shaher 29 2019 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 Square-root dynamics of a giving up smoking model. Zbl 1426.92089Zeb, Anwar; Zaman, Gul; Momani, Shaher 28 2013 The fractional-order modeling and synchronization of electrically coupled neuron systems. Zbl 1268.92026Moaddy, K.; Radwan, A. G.; Salama, K. N.; Momani, S.; Hashim, I. 28 2012 Fuzzy fractional order sliding mode controller for nonlinear systems. Zbl 1221.93140Delavari, H.; Ghaderi, R.; Ranjbar, A.; Momani, S. 28 2010 Comparing numerical methods for solving fourth-order boundary value problems. Zbl 1119.65066Ertürk, Vedat Suat; Momani, Shaher 27 2007 Solutions of a fractional oscillator by using differential transform method. Zbl 1189.34068Al-Rabtah, Adel; Ertürk, Vedat Suat; Momani, Shaher 25 2010 Some analytical properties of solutions of differential equations of noninteger order. Zbl 1069.34002Momani, S. M.; Hadid, S. B.; Alawenh, Z. M. 24 2004 A computational method for solving periodic boundary value problems for integro-differential equations of Fredholm-Volterra type. Zbl 1337.65091Momani, Shaher; Abu Arqub, Omar; Hayat, Tasawar; Al-Sulami, Hamed 24 2014 Fractional Green function for linear time-fractional inhomogeneous partial differential equations in fluid mechanics. Zbl 1134.35093Momani, Shaher; Odibat, Zaid M. 24 2007 Analytical approximate solutions of systems of fractional algebraic-differential equations by homotopy analysis method. Zbl 1189.65187Zurigat, Mohammad; Momani, Shaher; Alawneh, Ahmad 24 2010 A reliable treatment of homotopy perturbation method for Klein-Gordon equations. Zbl 1203.65213Odibat, Zaid; Momani, Shaher 24 2007 A reliable analytical method for solving higher-order initial value problems. Zbl 1417.34044Abu Arqub, Omar; Abo-Hammour, Zaer; Al-Badarneh, Ramzi; Momani, Shaher 23 2013 Stability and non-standard finite difference method of the generalized Chua’s circuit. Zbl 1228.65120Radwan, A. G.; Moaddy, K.; Momani, Shaher 23 2011 The multistage homotopy-perturbation method: a powerful scheme for handling the Lorenz system. Zbl 1198.65135Chowdhury, M. S. H.; Hashim, I.; Momani, S. 23 2009 Phase synchronization in fractional differential chaotic systems. Zbl 1220.34004Erjaee, G. H.; Momani, Shaher 23 2008 Chaotic fractional-order Coullet system: synchronization and control approach. Zbl 1221.37222Shahiri, M.; Ghaderi, R.; N., A. Ranjbar; Hosseinnia, S. H.; Momani, S. 23 2010 The reproducing kernel algorithm for numerical solution of Van der Pol damping model in view of the Atangana-Baleanu fractional approach. Zbl 07468592Momani, Shaher; Maayah, Banan; Arqub, Omar Abu 22 2020 Numerical multistep approach for solving fractional partial differential equations. Zbl 1404.65210Al-Smadi, Mohammed; Freihat, Asad; Khalil, Hammad; Momani, Shaher; Ali Khan, Rahmat 22 2017 A numerical scheme for the solution of multi-order fractional differential equations. Zbl 1107.65119Momani, Shaher 21 2006 Piecewise optimal fractional reproducing kernel solution and convergence analysis for the Atangana-Baleanu-Caputo model of the Lienard’s equation. Zbl 07468589Momani, Shaher; Arqub, Omar Abu; Maayah, Banan 21 2020 Solving singular two-point boundary value problems using continuous genetic algorithm. Zbl 1261.34018Arqub, Omar Abu; Abo-Hammour, Zaer; Momani, Shaher; Shawagfeh, Nabil 21 2012 Analytical approximations for Fokker-Planck equations of fractional order in multistep schemes. Zbl 1364.35369Momani, Shaher; Arqub, Omar Abu; Freihat, Asad; Al-Smadi, Mohammed 20 2016 On a fractional integral equation of periodic functions involving Weyl-Riesz operator in Banach algebras. Zbl 1136.45010Momani, Shaher; Ibrahim, Rabha W. 20 2008 Analytical solution of nonlinear second-order periodic boundary value problem using reproducing kernel method. Zbl 1318.34036Shawagfeh, Nabil; Arqub, Omar Abu; Momani, Shaher 19 2014 Numerical comparison of methods for solving a special fourth-order boundary value problem. Zbl 1193.65135Momani, Shaher; Noor, Muhammad Aslam 19 2007 Atangana-Baleanu fractional framework of reproducing kernel technique in solving fractional population dynamics system. Zbl 1483.92110Hasan, Shatha; El-Ajou, Ahmad; Hadid, Samir; Al-Smadi, Mohammed; Momani, Shaher 19 2020 Numerical solutions of nonlinear fractional model arising in the appearance of the strip patterns in two-dimensional systems. Zbl 1487.65169Kumar, Sunil; Kumar, Amit; Momani, Shaher; Aldhaifallah, Mujahed; Nisar, Kottakkaran Sooppy 19 2019 Local and global existence theorems on fractional integro-differential equations. Zbl 0967.45004Momani, Shaher M. 18 2000 The modified homotopy perturbation method for solving strongly nonlinear oscillators. Zbl 1189.65168Momani, Shaher; Erjaee, G. H.; Alnasr, M. H. 18 2009 Modified Householder iterative method for nonlinear equations. Zbl 1122.65341Noor, Khalida Inayat; Noor, Muhammad Aslam; Momani, Shaher 16 2007 Local and global uniqueness theorems on fractional integro-differential equations via Bihari’s and Gronwall’s inequalities. Zbl 1137.26301Momani, Shaher; Jameel, Ahlam; Al-Azawi, Sora 16 2007 Some comparison results for integro-fractional differential inequalities. Zbl 1057.45003Momani, S. M.; Hadid, S. B. 15 2003 Applications of variational iteration and homotopy perturbation methods to fractional evolution equations. Zbl 1172.26303Odibat, Zaid; Momani, Shaher 14 2008 Homotopy analysis method for second-order boundary value problems of integrodifferential equations. Zbl 1248.65084El-Ajou, Ahmad; Arqub, Omar Abu; Momani, Shaher 14 2012 A nonstandard finite difference scheme for two-sided space-fractional partial differential equations. Zbl 1258.35201Momani, Shaher; Rqayiq, Abdullah Abu; Baleanu, Dumitru 14 2012 The differential transform method and Padé approximants for a fractional population growth model. Zbl 1356.92073Erturk, Vedat Suat; Yıldırım, Ahmet; Momanic, Shaher; Khan, Yasir 13 2012 Fractional order control of a coupled tank. Zbl 1204.93086Delavari, H.; Ranjbar, A. N.; Ghaderi, R.; Momani, S. 13 2010 Algorithm for nonlinear fractional partial differential equations: a selection of numerical methods. Zbl 1172.26302Momani, Shaher; Odibat, Zaid; Hashim, Ishak 12 2008 Two computational approaches for solving a fractional obstacle system in Hilbert space. Zbl 1458.65093Hasan, Shatha; Al-Smadi, Mohammed; Freihet, Asad; Momani, Shaher 12 2019 A theoretical study on fractional Ebola hemorrhagic fever model. Zbl 1492.34058Momani, Shaher; Chauhan, R. P.; Kumar, Sunil; Hadid, Samir 1 2022 An attractive numerical algorithm for solving nonlinear Caputo-Fabrizio fractional Abel differential equation in a Hilbert space. Zbl 1494.65055Al-Smadi, Mohammed; Djeddi, Nadir; Momani, Shaher; Al-Omari, Shrideh; Araci, Serkan 8 2021 Numerical investigation for Caputo-Fabrizio fractional Riccati and Bernoulli equations using iterative reproducing kernel method. Zbl 1482.65120Momani, Shaher; Djeddi, Nadir; Al-Smadi, Mohammed; Al-Omari, Shrideh 7 2021 On numerical approximation of atangana-baleanu-Caputo fractional integro-differential equations under uncertainty in Hilbert space. Zbl 07372369Al-Smadi, Mohammed; Dutta, Hemen; Hasan, Shatha; Momani, Shaher 6 2021 Synchronization of FitzHugh-Nagumo reaction-diffusion systems via one-dimensional linear control law. Zbl 1470.92027Ouannas, Adel; Mesdoui, Fatiha; Momani, Shaher; Batiha, Iqbal; Grassi, Giuseppe 3 2021 Capturing of solitons collisions and reflections in nonlinear Schrödinger type equations by a conservative scheme based on MOL. Zbl 1494.65082Mousa, Mohamed M.; Agarwal, Praveen; Alsharari, Fahad; Momani, Shaher 2 2021 The reproducing kernel algorithm for numerical solution of Van der Pol damping model in view of the Atangana-Baleanu fractional approach. Zbl 07468592Momani, Shaher; Maayah, Banan; Arqub, Omar Abu 22 2020 Piecewise optimal fractional reproducing kernel solution and convergence analysis for the Atangana-Baleanu-Caputo model of the Lienard’s equation. Zbl 07468589Momani, Shaher; Arqub, Omar Abu; Maayah, Banan 21 2020 Atangana-Baleanu fractional framework of reproducing kernel technique in solving fractional population dynamics system. Zbl 1483.92110Hasan, Shatha; El-Ajou, Ahmad; Hadid, Samir; Al-Smadi, Mohammed; Momani, Shaher 19 2020 An avant-garde handling of temporal-spatial fractional physical models. Zbl 07201332Jaradat, Imad; Alquran, Marwan; Katatbeh, Qutaibeh; Yousef, Feras; Momani, Shaher; Baleanu, Dumitru 7 2020 A note on rough parametric Marcinkiewicz functions. Zbl 1463.42036Hawawsheh, Laith; Al-Salman, Ahmad; Momani, Shaher 3 2020 Dynamics analysis of fractional-order Hopfield neural networks. Zbl 07336066Batiha, Iqbal M.; Albadarneh, Ramzi B.; Momani, Shaher; Jebril, Iqbal H. 3 2020 Solvability and stability of a fractional dynamical system of the growth of COVID-19 with approximate solution by fractional Chebyshev polynomials. Zbl 1485.37080Hadid, Samir B.; Ibrahim, Rabha W.; Altulea, Dania; Momani, Shaher 3 2020 Solving time-space-fractional Cauchy problem with constant coefficients by finite-difference method. Zbl 1486.65100Edwan, Reem; Saadeh, Rania; Hadid, Samir; Al-Smadi, Mohammed; Momani, Shaher 2 2020 A class of linear non-homogenous higher order matrix fractional differential equations: analytical solutions and new technique. Zbl 1451.34007El-Ajou, Ahmad; Oqielat, Moa’ath N.; Al-Zhour, Zeyad; Momani, Shaher 2 2020 The discrete fractional Duffing system: chaos, 0-1 test, \(C_0\) complexity, entropy, and control. Zbl 1445.39004Ouannas, Adel; Khennaoui, Amina-Aicha; Momani, Shaher; Pham, Viet-Thanh 2 2020 A new attractive analytic approach for solutions of linear and nonlinear neutral fractional pantograph equations. Zbl 1490.34096Eriqat, Tareq; El-Ajou, Ahmad; Oqielat, Moa’ath N.; Al-Zhour, Zeyad; Momani, Shaher 2 2020 Solitary solutions for time-fractional nonlinear dispersive PDEs in the sense of conformable fractional derivative. Zbl 1423.35392El-Ajou, Ahmad; Oqielat, Moa’Ath N.; Al-Zhour, Zeyad; Kumar, Sunil; Momani, Shaher 29 2019 Numerical solutions of nonlinear fractional model arising in the appearance of the strip patterns in two-dimensional systems. Zbl 1487.65169Kumar, Sunil; Kumar, Amit; Momani, Shaher; Aldhaifallah, Mujahed; Nisar, Kottakkaran Sooppy 19 2019 Two computational approaches for solving a fractional obstacle system in Hilbert space. Zbl 1458.65093Hasan, Shatha; Al-Smadi, Mohammed; Freihet, Asad; Momani, Shaher 12 2019 Construction of fractional power series solutions to fractional stiff system using residual functions algorithm. Zbl 1458.34017Freihet, Asad; Hasan, Shatha; Al-Smadi, Mohammed; Gaith, Mohamed; Momani, Shaher 9 2019 Ternary-fractional differential transform schema: theory and application. Zbl 1459.35387Yousef, Feras; Alquran, Marwan; Jaradat, Imad; Momani, Shaher; Baleanu, Dumitru 6 2019 Fractional calculus. Selected papers from the international conference on fractional differentiation and its applications (ICFDA 2018), Amman, Jordan, July 16–18, 2018. Zbl 1444.26001 5 2019 Computing bifurcations behavior of mixed type singular time-fractional partial integrodifferential equations of Dirichlet functions types in Hilbert space with error analysis. Zbl 1499.35668Maayah, Banan; Yousef, Feras; Arqub, Omar Abu; Momani, Shaher; Alsaedi, Ahmed 1 2019 A reliable algorithm for solving linear and nonlinear Schrödinger equations. Zbl 1426.35101Momani, Shaher; Arqub, Omar Abu; Maayah, Banan; Yousef, Feras; Alsaedi, Ahmed 3 2018 An approach for approximate solution of fractional-order smoking model with relapse class. Zbl 1396.92041Zeb, Anwar; Erturk, Vedat Suat; Khan, Umar; Zaman, Gul; Momani, Shaher 3 2018 An efficient numerical method for solving chaotic and non-chaotic systems. Zbl 1427.65109Maayah, Banan; Bushnaq, Samia; Alsaedi, Ahmed; Momani, Shaher 1 2018 Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems. Zbl 1453.65169Arqub, Omar Abu; Al-Smadi, Mohammed; Momani, Shaher; Hayat, Tasawar 69 2017 Numerical multistep approach for solving fractional partial differential equations. Zbl 1404.65210Al-Smadi, Mohammed; Freihat, Asad; Khalil, Hammad; Momani, Shaher; Ali Khan, Rahmat 22 2017 Comparing two numerical methods for approximating a new giving up smoking model involving fractional order derivatives. Zbl 1391.92007Erturk, Vedat Suat; Zaman, Gul; Alzalg, Baha; Zeb, Anwar; Momani, Shaher 2 2017 Numerical solution of second-order fuzzy differential equation of integer and fractional order using reproducing kernel Hilbert space method tools. Zbl 1379.65044Albzeirat, Asia Khalaf; Ahmad, Muhammad Zaini; Momani, Shaher; Maayah, Banan 1 2017 Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method. Zbl 1377.65079Arqub, Omar Abu; AL-Smadi, Mohammed; Momani, Shaher; Hayat, Tasawar 90 2016 Numerical investigations for systems of second-order periodic boundary value problems using reproducing kernel method. Zbl 1410.34054Al-Smadi, Mohammed; Arqub, Omar Abu; Shawagfeh, Nabil; Momani, Shaher 33 2016 Analytical approximations for Fokker-Planck equations of fractional order in multistep schemes. Zbl 1364.35369Momani, Shaher; Arqub, Omar Abu; Freihat, Asad; Al-Smadi, Mohammed 20 2016 Existence and uniqueness of fuzzy solutions for the nonlinear second-order fuzzy Volterra integrodifferential equations. Zbl 1337.26060Momani, Shaher; Arqub, Omar Abu; Al-Mezel, Saleh; Kutbi, Marwan 5 2016 Approximate analytical solution of the nonlinear fractional KdV-Burgers equation: a new iterative algorithm. Zbl 1349.65546El-Ajou, Ahmad; Arqub, Omar Abu; Momani, Shaher 84 2015 A novel expansion iterative method for solving linear partial differential equations of fractional order. Zbl 1339.65201El-Ajou, Ahmad; Abu Arqub, Omar; Momani, Shaher; Baleanu, Dumitru; Alsaedi, Ahmed 44 2015 Constructing and predicting solitary pattern solutions for nonlinear time-fractional dispersive partial differential equations. Zbl 1349.35394Arqub, Omar Abu; El-Ajou, Ahmad; Momani, Shaher 42 2015 Existence, uniqueness, and characterization theorems for nonlinear fuzzy integrodifferential equations of Volterra type. Zbl 1394.34162Abu Arqub, Omar; Momani, Shaher; Al-Mezel, Saleh; Kutbi, Marwan 6 2015 A computational method for solving periodic boundary value problems for integro-differential equations of Fredholm-Volterra type. Zbl 1337.65091Momani, Shaher; Abu Arqub, Omar; Hayat, Tasawar; Al-Sulami, Hamed 24 2014 Analytical solution of nonlinear second-order periodic boundary value problem using reproducing kernel method. Zbl 1318.34036Shawagfeh, Nabil; Arqub, Omar Abu; Momani, Shaher 19 2014 Iterative multistep reproducing kernel Hilbert space method for solving strongly nonlinear oscillators. Zbl 1302.65140Maayah, Banan; Bushnaq, Samia; Momani, Shaher; Arqub, Omar Abu 8 2014 Analytical study of fractional-order multiple chaotic FitzHugh-Nagumo neurons model using multistep generalized differential transform method. Zbl 1449.92007Momani, Shaher; Freihat, Asad; AL-Smadi, Mohammed 8 2014 Optimization solution of Troesch’s and Bratu’s problems of ordinary type using novel continuous genetic algorithm. Zbl 1419.49046Abo-Hammour, Zaer; Abu Arqub, Omar; Momani, Shaher; Shawagfeh, Nabil 8 2014 A reproducing kernel Hilbert space method for solving systems of fractional integrodifferential equations. Zbl 1470.65123Bushnaq, Samia; Maayah, Banan; Momani, Shaher; Alsaedi, Ahmed 7 2014 Solving the fractional nonlinear Bloch system using the multi-step generalized differential transform method. Zbl 1369.34009Abuteen, Eman; Momani, Shaher; Alawneh, Ahmad 4 2014 Inhibition or enhancement of chaotic convection via inclined magnetic field. Zbl 1449.76051Jawdat, J. M.; Momani, S.; Hashim, I. 2 2014 The multistage homotopy analysis method: application to a biochemical reaction model of fractional order. Zbl 1305.34026Zurigat, Mohammad; Momani, Shaher; Alawneh, Ahmad 1 2014 New results on fractional power series: theories and applications. Zbl 1337.26010El-Ajou, Ahmad; Arqub, Omar Abu; Zhour, Zeyad Al; Momani, Shaher 63 2013 A computational method for two-point boundary value problems of fourth-order mixed integrodifferential equations. Zbl 1299.65297Al-Smadi, Mohammed; Abu Arqub, Omar; Momani, Shaher 37 2013 Square-root dynamics of a giving up smoking model. Zbl 1426.92089Zeb, Anwar; Zaman, Gul; Momani, Shaher 28 2013 A reliable analytical method for solving higher-order initial value problems. Zbl 1417.34044Abu Arqub, Omar; Abo-Hammour, Zaer; Al-Badarneh, Ramzi; Momani, Shaher 23 2013 A reproducing kernel Hilbert space method for solving integro-differential equations of fractional order. Zbl 1273.65194Bushnaq, Samia; Momani, Shaher; Zhou, Yong 9 2013 Application of reproducing kernel method for solving nonlinear Fredholm-Volterra integrodifferential equations. Zbl 1253.65200Arqub, Omar Abu; Al-Smadi, Mohammed; Momani, Shaher 34 2012 A numeric-analytic method for approximating a giving up smoking model containing fractional derivatives. Zbl 1268.65107Ertürk, Vedat Suat; Zaman, Gul; Momani, Shaher 33 2012 The fractional-order modeling and synchronization of electrically coupled neuron systems. Zbl 1268.92026Moaddy, K.; Radwan, A. G.; Salama, K. N.; Momani, S.; Hashim, I. 28 2012 Solving singular two-point boundary value problems using continuous genetic algorithm. Zbl 1261.34018Arqub, Omar Abu; Abo-Hammour, Zaer; Momani, Shaher; Shawagfeh, Nabil 21 2012 Homotopy analysis method for second-order boundary value problems of integrodifferential equations. Zbl 1248.65084El-Ajou, Ahmad; Arqub, Omar Abu; Momani, Shaher 14 2012 A nonstandard finite difference scheme for two-sided space-fractional partial differential equations. Zbl 1258.35201Momani, Shaher; Rqayiq, Abdullah Abu; Baleanu, Dumitru 14 2012 The differential transform method and Padé approximants for a fractional population growth model. Zbl 1356.92073Erturk, Vedat Suat; Yıldırım, Ahmet; Momanic, Shaher; Khan, Yasir 13 2012 Adaptation of differential transform method for the numeric-analytic solution of fractional-order Rössler chaotic and hyperchaotic systems. Zbl 1237.37058Freihat, Asad; Momani, Shaher 9 2012 Dynamical system analysis of thermal convection in a horizontal layer of nanofluids heated from below. Zbl 1264.76097Jawdat, J. M.; Hashim, I.; Momani, S. 9 2012 Application of multistage homotopy perturbation method to the chaotic Genesio system. Zbl 1246.65241Chowdhury, M. S. H.; Hashim, I.; Momani, S.; Rahman, M. M. 7 2012 Solving linear and nonlinear fractional differential equations using spline functions. Zbl 1235.65015Al-Rabtah, Adel; Momani, Shaher; Ramadan, Mohamed A. 6 2012 Application of multistep generalized differential transform method for the solutions of the fractional-order Chua’s system. Zbl 1253.65121Freihat, Asad; Momani, Shaher 2 2012 Application of Legendre wavelets for solving fractional differential equations. Zbl 1228.65253Jafari, H.; Yousefi, S. A.; Firoozjaee, M. A.; Momani, S.; Khalique, C. M. 72 2011 The non-standard finite difference scheme for linear fractional PDEs in fluid mechanics. Zbl 1217.65174Moaddy, K.; Momani, S.; Hashim, I. 39 2011 Dynamical analysis of fractional-order modified logistic model. Zbl 1228.34008Abbas, Syed; Banerjee, Malay; Momani, Shaher 30 2011 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 Stability and non-standard finite difference method of the generalized Chua’s circuit. Zbl 1228.65120Radwan, A. G.; Moaddy, K.; Momani, Shaher 23 2011 Non-standard finite difference schemes for solving fractional-order Rössler chaotic and hyperchaotic systems. Zbl 1228.65119Moaddy, K.; Hashim, I.; Momani, S. 12 2011 Application of the modified differential transform method to fractional oscillators. Zbl 1511.65074Abu-Gurra, Sana; Ertürk, Vedat Suat; Momani, Shaher 3 2011 A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations. Zbl 1185.65139Odibat, Zaid; Momani, Shaher; Xu, Hang 56 2010 Sliding mode synchronization of an uncertain fractional order chaotic system. Zbl 1189.34011Hosseinnia, S. H.; Ghaderi, R.; Ranjbar N., A.; Mahmoudian, M.; Momani, S. 50 2010 The homotopy analysis method for handling systems of fractional differential equations. Zbl 1185.65140Zurigat, Mohammad; Momani, Shaher; Odibat, Zaid; Alawneh, Ahmad 48 2010 Analytical approximate solutions of the fractional convection-diffusion equation with nonlinear source term by He’s homotopy perturbation method. Zbl 1192.65137Momani, Shaher; Yıldırım, Ahmet 30 2010 Fuzzy fractional order sliding mode controller for nonlinear systems. Zbl 1221.93140Delavari, H.; Ghaderi, R.; Ranjbar, A.; Momani, S. 28 2010 Solutions of a fractional oscillator by using differential transform method. Zbl 1189.34068Al-Rabtah, Adel; Ertürk, Vedat Suat; Momani, Shaher 25 2010 Analytical approximate solutions of systems of fractional algebraic-differential equations by homotopy analysis method. Zbl 1189.65187Zurigat, Mohammad; Momani, Shaher; Alawneh, Ahmad 24 2010 Chaotic fractional-order Coullet system: synchronization and control approach. Zbl 1221.37222Shahiri, M.; Ghaderi, R.; N., A. Ranjbar; Hosseinnia, S. H.; Momani, S. 23 2010 Fractional order control of a coupled tank. Zbl 1204.93086Delavari, H.; Ranjbar, A. N.; Ghaderi, R.; Momani, S. 13 2010 An effective variational iteration algorithm for solving Riccati differential equations. Zbl 1192.65095Ghorbani, Asghar; Momani, Shaher 9 2010 Series solutions of a fractional oscillator by means of the homotopy perturbation method. Zbl 1191.65089Yıldırım, Ahmet; Momani, Shaher 4 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 Synchronization of fractional-order chaotic system via adaptive PID controller. Zbl 1206.93059Mahmoudian, Mohammad; Ghaderi, Reza; Ranjbar, Abolfazl; Sadati, Jalil; Hosseinnia, Seyed Hassan; Momani, Shaher 4 2010 Synchronization of gyro systems via fractional-order adaptive controller. Zbl 1222.93119Hosseinnia, Seyed Hassan; Ghaderi, Reza; Ranjbar, Abolfazl; Sadati, Jalil; Momani, Shaher 2 2010 Synchronization of chaotic nonlinear gyros using fractional order controller. Zbl 1222.93129Delavari, Hadi; Ghaderi, Reza; Ranjbar, Abolfazl; Momani, Shaher 1 2010 Homotopy analysis method for fractional IVPs. Zbl 1221.65277Hashim, I.; Abdulaziz, O.; Momani, S. 194 2009 The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics. Zbl 1189.65254Odibat, Zaid; Momani, Shaher 105 2009 The multistage homotopy-perturbation method: a powerful scheme for handling the Lorenz system. Zbl 1198.65135Chowdhury, M. S. H.; Hashim, I.; Momani, S. 23 2009 The modified homotopy perturbation method for solving strongly nonlinear oscillators. Zbl 1189.65168Momani, Shaher; Erjaee, G. H.; Alnasr, M. H. 18 2009 Homotopy analysis method for systems of fractional integro-differential equations. Zbl 1180.65181Zurigat, Mohammad; Momani, Shaher; Alawneh, Ahmad 10 2009 Subordination and superordination for certain analytic functions containing fractional integral. Zbl 1195.30019Ibrahim, R. W.; Darus, M.; Momani, S. 1 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 Solving systems of fractional differential equations using differential transform method. Zbl 1141.65088Ertürk, Vedat Suat; Momani, Shaher 90 2008 Application of generalized differential transform method to multi-order fractional differential equations. Zbl 1221.34022Erturk, Vedat Suat; Momani, Shaher; Odibat, Zaid 85 2008 Existence of the mild solution for fractional semilinear initial value problems. Zbl 1160.34300Jaradat, Omar K.; Al-Omari, Ahmad; Momani, Shaher 75 2008 Generalized differential transform method: Application to differential equations of fractional order. Zbl 1141.65092Odibat, Zaid; Momani, Shaher; Erturk, Vedat Suat 74 2008 ...and 72 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,927 Authors 106 Momani, Shaher M. 99 Băleanu, Dumitru I. 49 Dehghan Takht Fooladi, Mehdi 45 Odibat, Zaid M. 42 Al-Smadi, Mohammed H. 41 Hashim, Ishak 41 Yıldırım, Ahmet 40 Arqub, Omar Abu 32 Hayat, Tasawar 31 Jafari, Hossein 25 Biazar, Jafar 24 Shah, Kamal 24 Yang, Xiao-Jun 23 Mohyud-Din, Syed Tauseef 23 Ordokhani, Yadollah 21 Abbasbandy, Saeid 21 Alquran, Marwan Taiseer 21 Kumar, Sunil 21 Noor, Muhammad Aslam 21 Noorani, Mohd Salmi Mohd 20 Zhou, Yong 19 Ganji, Davood Domiri 19 Kiliçman, Adem 19 Wang, Jinrong 18 Bhrawy, Ali Hassan 18 Khader, Mohamed M. 17 Machado, José António Tenreiro 16 Erturk, Vedat Suat 16 Ibrahim, Rabha Waell 16 Rezapour, Shahram 16 Sayevand, Khosro 16 Sweilam, Nasser Hassan 16 Wei, LeiLei 15 Aminikhah, Hossein 15 Arafa, Anas. A. 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