## Momani, Shaher M.

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 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
 Documents Indexed: 207 Publications since 1996 1 Contribution as Editor Co-Authors: 134 Co-Authors with 191 Joint Publications 4,382 Co-Co-Authors
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### Serials

 20 Applied Mathematics and Computation 18 Computers & Mathematics with Applications 11 Advances in Difference Equations 9 Chaos, Solitons and Fractals 8 Physics Letters. A 7 Abstract and Applied Analysis 6 Applied Mathematical Modelling 6 Journal of Fractional Calculus 6 Fractals 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 Numerical Methods for Partial Differential Equations 3 Mathematical Problems in Engineering 3 International Journal of Pure and Applied Mathematics 2 Journal of Computational Physics 2 Journal of Mathematical Analysis and Applications 2 International Journal of Mathematics and Mathematical Sciences 2 Kybernetes 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 2 Applied and Computational Mathematics 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 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 Journal of Function Spaces 1 AIMS Mathematics
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### Fields

 115 Numerical analysis (65-XX) 97 Ordinary differential equations (34-XX) 89 Real functions (26-XX) 44 Partial differential equations (35-XX) 43 Integral equations (45-XX) 21 Biology and other natural sciences (92-XX) 12 Fluid mechanics (76-XX) 12 Systems theory; control (93-XX) 11 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) 3 Functions of a complex variable (30-XX) 3 Operations research, mathematical programming (90-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-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 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-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)

### Citations contained in zbMATH Open

164 Publications have been cited 5,157 times in 2,803 Documents Cited by Year
Application of variational iteration method to nonlinear differential equations of fractional order. Zbl 1401.65087
Odibat, Zaid M.; Momani, Shaher
2006
Application of He’s variational iteration method to Helmholtz equation. Zbl 1086.65113
2006
Homotopy analysis method for fractional IVPs. Zbl 1221.65277
Hashim, I.; Abdulaziz, O.; Momani, S.
2009
Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order. Zbl 1152.34311
Odibat, Zaid; Momani, Shaher
2008
Homotopy perturbation method for nonlinear partial differential equations of fractional order. Zbl 1203.65212
Momani, Shaher; Odibat, Zaid
2007
Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method. Zbl 1096.65131
Momani, Shaher; Odibat, Zaid
2006
Numerical comparison of methods for solving linear differential equations of fractional order. Zbl 1137.65450
Momani, Shaher; Odibat, Zaid
2007
A generalized differential transform method for linear partial differential equations of fractional order. Zbl 1132.35302
Odibat, Zaid; Momani, Shaher
2008
Numerical methods for nonlinear partial differential equations of fractional order. Zbl 1133.65116
Odibat, Zaid; Momani, Shaher
2008
Analytical approach to linear fractional partial differential equations arising in fluid mechanics. Zbl 1378.76084
Momani, Shaher; Odibat, Zaid
2006
Numerical approach to differential equations of fractional order. Zbl 1119.65127
Momani, Shaher; Odibat, Zaid
2007
Generalized differential transform method for solving a space- and time-fractional diffusion-wave equation. Zbl 1209.35066
Momani, Shaher; Odibat, Zaid; Erturk, Vedat Suat
2007
The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics. Zbl 1189.65254
Odibat, Zaid; Momani, Shaher
2009
Decomposition method for solving fractional Riccati differential equations. Zbl 1107.65121
Momani, Shaher; Shawagfeh, Nabil
2006
Approximate analytical solution of the nonlinear fractional KdV-Burgers equation: a new iterative algorithm. Zbl 1349.65546
El-Ajou, Ahmad; Arqub, Omar Abu; Momani, Shaher
2015
Application of generalized differential transform method to multi-order fractional differential equations. Zbl 1221.34022
Erturk, Vedat Suat; Momani, Shaher; Odibat, Zaid
2008
Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations. Zbl 1141.65398
Momani, Shaher; Odibat, Zaid
2007
Analytic and approximate solutions of the space- and time-fractional telegraph equations. Zbl 1103.65335
Momani, Shaher
2005
Solving systems of fractional differential equations using differential transform method. Zbl 1141.65088
Ertürk, Vedat Suat; Momani, Shaher
2008
Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method. Zbl 1377.65079
Arqub, Omar Abu; AL-Smadi, Mohammed; Momani, Shaher; Hayat, Tasawar
2016
Existence of the mild solution for fractional semilinear initial value problems. Zbl 1160.34300
2008
An explicit and numerical solutions of the fractional KdV equation. Zbl 1119.65394
Momani, Shaher
2005
Generalized differential transform method: Application to differential equations of fractional order. Zbl 1141.65092
Odibat, Zaid; Momani, Shaher; Erturk, Vedat Suat
2008
Numerical methods for fourth-order fractional integro-differential equations. Zbl 1107.65120
2006
A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor’s formula. Zbl 1148.65099
Momani, Shaher; Odibat, Zaid
2008
Application of Legendre wavelets for solving fractional differential equations. Zbl 1228.65253
Jafari, H.; Yousefi, S. A.; Firoozjaee, M. A.; Momani, S.; Khalique, C. M.
2011
Numerical solutions for systems of fractional differential equations by the decomposition method. Zbl 1063.65055
Momani, Shaher; Al-Khaled, Kamel
2005
Non-perturbative analytical solutions of the space- and time-fractional Burgers equations. Zbl 1099.35118
Momani, Shaher
2006
New results on fractional power series: theories and applications. Zbl 1337.26010
2013
Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems. Zbl 1453.65169
Arqub, Omar Abu; Al-Smadi, Mohammed; Momani, Shaher; Hayat, Tasawar
2017
Solving systems of fractional differential equations by homotopy-perturbation method. Zbl 1217.81080
Abdulaziz, O.; Hashim, I.; Momani, S.
2008
Solving fractional diffusion and wave equations by modified homotopy perturbation method. Zbl 1209.65111
Jafari, Hossein; Momani, Shaher
2007
A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations. Zbl 1185.65139
Odibat, Zaid; Momani, Shaher; Xu, Hang
2010
Variational iteration method for solving nonlinear boundary value problems. Zbl 1110.65068
Momani, Shaher; Abuasad, Salah; Odibat, Zaid
2006
The homotopy analysis method for handling systems of fractional differential equations. Zbl 1185.65140
2010
On the existence and uniqueness of solutions of a class of fractional differential equations. Zbl 1123.34302
Ibrahim, Rabha W.; Momani, Shaher
2007
Sliding mode synchronization of an uncertain fractional order chaotic system. Zbl 1189.34011
Hosseinnia, S. H.; Ghaderi, R.; Ranjbar N., A.; Mahmoudian, M.; Momani, S.
2010
Analytical approximate solution for fractional heat-like and wave-like equations with variable coefficients using the decomposition method. Zbl 1070.65105
Momani, Shaher
2005
A novel expansion iterative method for solving linear partial differential equations of fractional order. Zbl 1339.65201
El-Ajou, Ahmad; Abu Arqub, Omar; Momani, Shaher; Baleanu, Dumitru; Alsaedi, Ahmed
2015
Approximate solutions for boundary value problems of time-fractional wave equation. Zbl 1148.65100
Odibat, Zaid M.; Momani, Shaher
2006
Constructing and predicting solitary pattern solutions for nonlinear time-fractional dispersive partial differential equations. Zbl 1349.35394
Arqub, Omar Abu; El-Ajou, Ahmad; Momani, Shaher
2015
Application of homotopy-perturbation method to fractional IVPs. Zbl 1142.65104
Abdulaziz, O.; Hashim, I.; Momani, S.
2008
The non-standard finite difference scheme for linear fractional PDEs in fluid mechanics. Zbl 1217.65174
Moaddy, K.; Momani, S.; Hashim, I.
2011
An efficient method for solving systems of fractional integro-differential equations. Zbl 1137.65072
Momani, S.; Qaralleh, R.
2006
A computational method for two-point boundary value problems of fourth-order mixed integrodifferential equations. Zbl 1299.65297
Al-Smadi, Mohammed; Abu Arqub, Omar; Momani, Shaher
2013
An approximate solution for a fractional diffusion-wave equation using the decomposition method. Zbl 1071.65135
Al-Khaled, Kamel; Momani, Shaher
2005
A numeric-analytic method for approximating a giving up smoking model containing fractional derivatives. Zbl 1268.65107
Ertürk, Vedat Suat; Zaman, Gul; Momani, Shaher
2012
Application of reproducing kernel method for solving nonlinear Fredholm-Volterra integrodifferential equations. Zbl 1253.65200
Arqub, Omar Abu; Al-Smadi, Mohammed; Momani, Shaher
2012
Numerical solution of Fokker-Planck equation with space- and time-fractional derivatives. Zbl 1209.65114
Odibat, Zaid; Momani, Shaher
2007
Variational iteration method for solving the space- and time-fractional KdV Equation. Zbl 1130.65132
Momani, Shaher; Odibat, Zaid; Alawneh, Ahmed
2008
Approximate wave solutions for generalized Benjamin-Bona-Mahony-Burgers equations. Zbl 1084.65097
Al-Khaled, Kamel; Momani, Shaher; Alawneh, Ahmed
2005
Numerical solutions of the space-time fractional advection-dispersion equation. Zbl 1148.76044
Momani, Shaher; Odibat, Zaid
2008
Lyapunov stability solutions of fractional integrodifferential equations. Zbl 1074.45006
2004
Numerical approximations and padé approximants for a fractional population growth model. Zbl 1167.45300
Momani, Shaher; Qaralleh, Rami
2007
An algorithm for solving the fractional convection-diffusion equation with nonlinear source term. Zbl 1118.35301
Momani, Shaher
2007
Using an enhanced homotopy perturbation method in fractional differential equations via deforming the linear part. Zbl 1165.65375
Hosseinnia, S. H.; Ranjbar, A.; Momani, S.
2008
Solutions of nonlinear oscillators by the modified differential transform method. Zbl 1142.65058
Momani, Shaher; Ertürk, Vedat Suat
2008
An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus I (HTLV-I) infection of T-cells. Zbl 1228.92064
Ertürk, Vedat Suat; Odibat, Zaid M.; Momani, Shaher
2011
Dynamical analysis of fractional-order modified logistic model. Zbl 1228.34008
Abbas, Syed; Banerjee, Malay; Momani, Shaher
2011
Numerical investigations for systems of second-order periodic boundary value problems using reproducing kernel method. Zbl 1410.34054
Al-Smadi, Mohammed; Arqub, Omar Abu; Shawagfeh, Nabil; Momani, Shaher
2016
The fractional-order modeling and synchronization of electrically coupled neuron systems. Zbl 1268.92026
Moaddy, K.; Radwan, A. G.; Salama, K. N.; Momani, S.; Hashim, I.
2012
Analytical approximate solutions of the fractional convection-diffusion equation with nonlinear source term by He’s homotopy perturbation method. Zbl 1192.65137
Momani, Shaher; Yıldırım, Ahmet
2010
Comparing numerical methods for solving fourth-order boundary value problems. Zbl 1119.65066
Ertürk, Vedat Suat; Momani, Shaher
2007
Fuzzy fractional order sliding mode controller for nonlinear systems. Zbl 1221.93140
Delavari, H.; Ghaderi, R.; Ranjbar, A.; Momani, S.
2010
Solitary solutions for time-fractional nonlinear dispersive PDEs in the sense of conformable fractional derivative. Zbl 1423.35392
2019
Some analytical properties of solutions of differential equations of noninteger order. Zbl 1069.34002
Momani, S. M.; Hadid, S. B.; Alawenh, Z. M.
2004
Analytical approximate solutions of systems of fractional algebraic-differential equations by homotopy analysis method. Zbl 1189.65187
2010
Phase synchronization in fractional differential chaotic systems. Zbl 1220.34004
Erjaee, G. H.; Momani, Shaher
2008
A reliable treatment of homotopy perturbation method for Klein-Gordon equations. Zbl 1203.65213
Odibat, Zaid; Momani, Shaher
2007
Fractional Green function for linear time-fractional inhomogeneous partial differential equations in fluid mechanics. Zbl 1134.35093
Momani, Shaher; Odibat, Zaid M.
2007
Square-root dynamics of a giving up smoking model. Zbl 1426.92089
Zeb, Anwar; Zaman, Gul; Momani, Shaher
2013
The multistage homotopy-perturbation method: a powerful scheme for handling the Lorenz system. Zbl 1198.65135
Chowdhury, M. S. H.; Hashim, I.; Momani, S.
2009
A computational method for solving periodic boundary value problems for integro-differential equations of Fredholm-Volterra type. Zbl 1337.65091
Momani, Shaher; Abu Arqub, Omar; Hayat, Tasawar; Al-Sulami, Hamed
2014
Stability and non-standard finite difference method of the generalized Chua’s circuit. Zbl 1228.65120
2011
Solutions of a fractional oscillator by using differential transform method. Zbl 1189.34068
Al-Rabtah, Adel; Ertürk, Vedat Suat; Momani, Shaher
2010
A numerical scheme for the solution of multi-order fractional differential equations. Zbl 1107.65119
Momani, Shaher
2006
Numerical multistep approach for solving fractional partial differential equations. Zbl 1404.65210
2017
Chaotic fractional-order Coullet system: synchronization and control approach. Zbl 1221.37222
Shahiri, M.; Ghaderi, R.; N., A. Ranjbar; Hosseinnia, S. H.; Momani, S.
2010
The modified homotopy perturbation method for solving strongly nonlinear oscillators. Zbl 1189.65168
Momani, Shaher; Erjaee, G. H.; Alnasr, M. H.
2009
Numerical comparison of methods for solving a special fourth-order boundary value problem. Zbl 1193.65135
2007
Solving singular two-point boundary value problems using continuous genetic algorithm. Zbl 1261.34018
Arqub, Omar Abu; Abo-Hammour, Zaer; Momani, Shaher; Shawagfeh, Nabil
2012
Analytical solution of nonlinear second-order periodic boundary value problem using reproducing kernel method. Zbl 1318.34036
Shawagfeh, Nabil; Arqub, Omar Abu; Momani, Shaher
2014
On a fractional integral equation of periodic functions involving Weyl-Riesz operator in Banach algebras. Zbl 1136.45010
Momani, Shaher; Ibrahim, Rabha W.
2008
Local and global existence theorems on fractional integro-differential equations. Zbl 0967.45004
Momani, Shaher M.
2000
Some comparison results for integro-fractional differential inequalities. Zbl 1057.45003
Momani, S. M.; Hadid, S. B.
2003
Modified Householder iterative method for nonlinear equations. Zbl 1122.65341
Noor, Khalida Inayat; Noor, Muhammad Aslam; Momani, Shaher
2007
Local and global uniqueness theorems on fractional integro-differential equations via Bihari’s and Gronwall’s inequalities. Zbl 1137.26301
Momani, Shaher; Jameel, Ahlam; Al-Azawi, Sora
2007
Analytical approximations for Fokker-Planck equations of fractional order in multistep schemes. Zbl 1364.35369
2016
Applications of variational iteration and homotopy perturbation methods to fractional evolution equations. Zbl 1172.26303
Odibat, Zaid; Momani, Shaher
2008
Fractional order control of a coupled tank. Zbl 1204.93086
Delavari, H.; Ranjbar, A. N.; Ghaderi, R.; Momani, S.
2010
A nonstandard finite difference scheme for two-sided space-fractional partial differential equations. Zbl 1258.35201
Momani, Shaher; Rqayiq, Abdullah Abu; Baleanu, Dumitru
2012
Algorithm for nonlinear fractional partial differential equations: a selection of numerical methods. Zbl 1172.26302
Momani, Shaher; Odibat, Zaid; Hashim, Ishak
2008
Two computational approaches for solving a fractional obstacle system in Hilbert space. Zbl 1458.65093
2019
A reliable analytical method for solving higher-order initial value problems. Zbl 1417.34044
Abu Arqub, Omar; Abo-Hammour, Zaer; Al-Badarneh, Ramzi; Momani, Shaher
2013
Homotopy analysis method for second-order boundary value problems of integrodifferential equations. Zbl 1248.65084
El-Ajou, Ahmad; Arqub, Omar Abu; Momani, Shaher
2012
The differential transform method and Padé approximants for a fractional population growth model. Zbl 1356.92073
Erturk, Vedat Suat; Yıldırım, Ahmet; Momanic, Shaher; Khan, Yasir
2012
Non-standard finite difference schemes for solving fractional-order Rössler chaotic and hyperchaotic systems. Zbl 1228.65119
Moaddy, K.; Hashim, I.; Momani, S.
2011
Homotopy analysis method for systems of fractional integro-differential equations. Zbl 1180.65181
2009
Construction of fractional power series solutions to fractional stiff system using residual functions algorithm. Zbl 1458.34017
2019
A reproducing kernel Hilbert space method for solving integro-differential equations of fractional order. Zbl 1273.65194
Bushnaq, Samia; Momani, Shaher; Zhou, Yong
2013
Numerical investigation for Caputo-Fabrizio fractional Riccati and Bernoulli equations using iterative reproducing kernel method. Zbl 1482.65120
2021
On numerical approximation of atangana-baleanu-Caputo fractional integro-differential equations under uncertainty in Hilbert space. Zbl 07372369
Al-Smadi, Mohammed; Dutta, Hemen; Hasan, Shatha; Momani, Shaher
2021
Synchronization of FitzHugh-Nagumo reaction-diffusion systems via one-dimensional linear control law. Zbl 1470.92027
Ouannas, Adel; Mesdoui, Fatiha; Momani, Shaher; Batiha, Iqbal; Grassi, Giuseppe
2021
Numerical approach in the Hilbert space to solve a fuzzy Atangana-Baleanu fractional hybrid system. Zbl 07512434
2021
Piecewise optimal fractional reproducing kernel solution and convergence analysis for the Atangana-Baleanu-Caputo model of the Lienard’s equation. Zbl 07468589
Momani, Shaher; Arqub, Omar Abu; Maayah, Banan
2020
The reproducing kernel algorithm for numerical solution of Van der Pol damping model in view of the Atangana-Baleanu fractional approach. Zbl 07468592
Momani, Shaher; Maayah, Banan; Arqub, Omar Abu
2020
Atangana-Baleanu fractional framework of reproducing kernel technique in solving fractional population dynamics system. Zbl 1483.92110
2020
An avant-garde handling of temporal-spatial fractional physical models. Zbl 07201332
Jaradat, Imad; Alquran, Marwan; Katatbeh, Qutaibeh; Yousef, Feras; Momani, Shaher; Baleanu, Dumitru
2020
Dynamics analysis of fractional-order Hopfield neural networks. Zbl 07336066
Batiha, Iqbal M.; Albadarneh, Ramzi B.; Momani, Shaher; Jebril, Iqbal H.
2020
Solvability and stability of a fractional dynamical system of the growth of COVID-19 with approximate solution by fractional Chebyshev polynomials. Zbl 1485.37080
Hadid, Samir B.; Ibrahim, Rabha W.; Altulea, Dania; Momani, Shaher
2020
A class of linear non-homogenous higher order matrix fractional differential equations: analytical solutions and new technique. Zbl 1451.34007
2020
The discrete fractional Duffing system: chaos, 0-1 test, $$C_0$$ complexity, entropy, and control. Zbl 1445.39004
Ouannas, Adel; Khennaoui, Amina-Aicha; Momani, Shaher; Pham, Viet-Thanh
2020
Solitary solutions for time-fractional nonlinear dispersive PDEs in the sense of conformable fractional derivative. Zbl 1423.35392
2019
Two computational approaches for solving a fractional obstacle system in Hilbert space. Zbl 1458.65093
2019
Construction of fractional power series solutions to fractional stiff system using residual functions algorithm. Zbl 1458.34017
2019
Ternary-fractional differential transform schema: theory and application. Zbl 1459.35387
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
2019
Computing bifurcations behavior of mixed type singular time-fractional partial integrodifferential equations of Dirichlet functions types in Hilbert space with error analysis. Zbl 07537941
Maayah, Banan; Yousef, Feras; Arqub, Omar Abu; Momani, Shaher; Alsaedi, Ahmed
2019
An approach for approximate solution of fractional-order smoking model with relapse class. Zbl 1396.92041
Zeb, Anwar; Erturk, Vedat Suat; Khan, Umar; Zaman, Gul; Momani, Shaher
2018
A reliable algorithm for solving linear and nonlinear Schrödinger equations. Zbl 1426.35101
Momani, Shaher; Arqub, Omar Abu; Maayah, Banan; Yousef, Feras; Alsaedi, Ahmed
2018
An efficient numerical method for solving chaotic and non-chaotic systems. Zbl 1427.65109
Maayah, Banan; Bushnaq, Samia; Alsaedi, Ahmed; Momani, Shaher
2018
Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems. Zbl 1453.65169
Arqub, Omar Abu; Al-Smadi, Mohammed; Momani, Shaher; Hayat, Tasawar
2017
Numerical multistep approach for solving fractional partial differential equations. Zbl 1404.65210
2017
Comparing two numerical methods for approximating a new giving up smoking model involving fractional order derivatives. Zbl 1391.92007
Erturk, Vedat Suat; Zaman, Gul; Alzalg, Baha; Zeb, Anwar; Momani, Shaher
2017
Numerical solution of second-order fuzzy differential equation of integer and fractional order using reproducing kernel Hilbert space method tools. Zbl 1379.65044
2017
Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method. Zbl 1377.65079
Arqub, Omar Abu; AL-Smadi, Mohammed; Momani, Shaher; Hayat, Tasawar
2016
Numerical investigations for systems of second-order periodic boundary value problems using reproducing kernel method. Zbl 1410.34054
Al-Smadi, Mohammed; Arqub, Omar Abu; Shawagfeh, Nabil; Momani, Shaher
2016
Analytical approximations for Fokker-Planck equations of fractional order in multistep schemes. Zbl 1364.35369
2016
Existence and uniqueness of fuzzy solutions for the nonlinear second-order fuzzy Volterra integrodifferential equations. Zbl 1337.26060
Momani, Shaher; Arqub, Omar Abu; Al-Mezel, Saleh; Kutbi, Marwan
2016
Approximate analytical solution of the nonlinear fractional KdV-Burgers equation: a new iterative algorithm. Zbl 1349.65546
El-Ajou, Ahmad; Arqub, Omar Abu; Momani, Shaher
2015
A novel expansion iterative method for solving linear partial differential equations of fractional order. Zbl 1339.65201
El-Ajou, Ahmad; Abu Arqub, Omar; Momani, Shaher; Baleanu, Dumitru; Alsaedi, Ahmed
2015
Constructing and predicting solitary pattern solutions for nonlinear time-fractional dispersive partial differential equations. Zbl 1349.35394
Arqub, Omar Abu; El-Ajou, Ahmad; Momani, Shaher
2015
Existence, uniqueness, and characterization theorems for nonlinear fuzzy integrodifferential equations of Volterra type. Zbl 1394.34162
Abu Arqub, Omar; Momani, Shaher; Al-Mezel, Saleh; Kutbi, Marwan
2015
A computational method for solving periodic boundary value problems for integro-differential equations of Fredholm-Volterra type. Zbl 1337.65091
Momani, Shaher; Abu Arqub, Omar; Hayat, Tasawar; Al-Sulami, Hamed
2014
Analytical solution of nonlinear second-order periodic boundary value problem using reproducing kernel method. Zbl 1318.34036
Shawagfeh, Nabil; Arqub, Omar Abu; Momani, Shaher
2014
Iterative multistep reproducing kernel Hilbert space method for solving strongly nonlinear oscillators. Zbl 1302.65140
Maayah, Banan; Bushnaq, Samia; Momani, Shaher; Arqub, Omar Abu
2014
Analytical study of fractional-order multiple chaotic FitzHugh-Nagumo neurons model using multistep generalized differential transform method. Zbl 1449.92007
2014
A reproducing kernel Hilbert space method for solving systems of fractional integrodifferential equations. Zbl 1470.65123
Bushnaq, Samia; Maayah, Banan; Momani, Shaher; Alsaedi, Ahmed
2014
Solving the fractional nonlinear Bloch system using the multi-step generalized differential transform method. Zbl 1369.34009
Abuteen, Eman; Momani, Shaher; Alawneh, Ahmad
2014
Optimization solution of Troesch’s and Bratu’s problems of ordinary type using novel continuous genetic algorithm. Zbl 1419.49046
Abo-Hammour, Zaer; Abu Arqub, Omar; Momani, Shaher; Shawagfeh, Nabil
2014
Inhibition or enhancement of chaotic convection via inclined magnetic field. Zbl 1449.76051
Jawdat, J. M.; Momani, S.; Hashim, I.
2014
The multistage homotopy analysis method: application to a biochemical reaction model of fractional order. Zbl 1305.34026
2014
New results on fractional power series: theories and applications. Zbl 1337.26010
2013
A computational method for two-point boundary value problems of fourth-order mixed integrodifferential equations. Zbl 1299.65297
Al-Smadi, Mohammed; Abu Arqub, Omar; Momani, Shaher
2013
Square-root dynamics of a giving up smoking model. Zbl 1426.92089
Zeb, Anwar; Zaman, Gul; Momani, Shaher
2013
A reliable analytical method for solving higher-order initial value problems. Zbl 1417.34044
Abu Arqub, Omar; Abo-Hammour, Zaer; Al-Badarneh, Ramzi; Momani, Shaher
2013
A reproducing kernel Hilbert space method for solving integro-differential equations of fractional order. Zbl 1273.65194
Bushnaq, Samia; Momani, Shaher; Zhou, Yong
2013
A numeric-analytic method for approximating a giving up smoking model containing fractional derivatives. Zbl 1268.65107
Ertürk, Vedat Suat; Zaman, Gul; Momani, Shaher
2012
Application of reproducing kernel method for solving nonlinear Fredholm-Volterra integrodifferential equations. Zbl 1253.65200
Arqub, Omar Abu; Al-Smadi, Mohammed; Momani, Shaher
2012
The fractional-order modeling and synchronization of electrically coupled neuron systems. Zbl 1268.92026
Moaddy, K.; Radwan, A. G.; Salama, K. N.; Momani, S.; Hashim, I.
2012
Solving singular two-point boundary value problems using continuous genetic algorithm. Zbl 1261.34018
Arqub, Omar Abu; Abo-Hammour, Zaer; Momani, Shaher; Shawagfeh, Nabil
2012
A nonstandard finite difference scheme for two-sided space-fractional partial differential equations. Zbl 1258.35201
Momani, Shaher; Rqayiq, Abdullah Abu; Baleanu, Dumitru
2012
Homotopy analysis method for second-order boundary value problems of integrodifferential equations. Zbl 1248.65084
El-Ajou, Ahmad; Arqub, Omar Abu; Momani, Shaher
2012
The differential transform method and Padé approximants for a fractional population growth model. Zbl 1356.92073
Erturk, Vedat Suat; Yıldırım, Ahmet; Momanic, Shaher; Khan, Yasir
2012
Dynamical system analysis of thermal convection in a horizontal layer of nanofluids heated from below. Zbl 1264.76097
Jawdat, J. M.; Hashim, I.; Momani, S.
2012
Adaptation of differential transform method for the numeric-analytic solution of fractional-order Rössler chaotic and hyperchaotic systems. Zbl 1237.37058
2012
Application of multistage homotopy perturbation method to the chaotic Genesio system. Zbl 1246.65241
Chowdhury, M. S. H.; Hashim, I.; Momani, S.; Rahman, M. M.
2012
Solving linear and nonlinear fractional differential equations using spline functions. Zbl 1235.65015
2012
Application of multistep generalized differential transform method for the solutions of the fractional-order Chua’s system. Zbl 1253.65121
2012
Application of Legendre wavelets for solving fractional differential equations. Zbl 1228.65253
Jafari, H.; Yousefi, S. A.; Firoozjaee, M. A.; Momani, S.; Khalique, C. M.
2011
The non-standard finite difference scheme for linear fractional PDEs in fluid mechanics. Zbl 1217.65174
Moaddy, K.; Momani, S.; Hashim, I.
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 1228.92064
Ertürk, Vedat Suat; Odibat, Zaid M.; Momani, Shaher
2011
Dynamical analysis of fractional-order modified logistic model. Zbl 1228.34008
Abbas, Syed; Banerjee, Malay; Momani, Shaher
2011
Stability and non-standard finite difference method of the generalized Chua’s circuit. Zbl 1228.65120
2011
Non-standard finite difference schemes for solving fractional-order Rössler chaotic and hyperchaotic systems. Zbl 1228.65119
Moaddy, K.; Hashim, I.; Momani, S.
2011
A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations. Zbl 1185.65139
Odibat, Zaid; Momani, Shaher; Xu, Hang
2010
The homotopy analysis method for handling systems of fractional differential equations. Zbl 1185.65140
2010
Sliding mode synchronization of an uncertain fractional order chaotic system. Zbl 1189.34011
Hosseinnia, S. H.; Ghaderi, R.; Ranjbar N., A.; Mahmoudian, M.; Momani, S.
2010
Analytical approximate solutions of the fractional convection-diffusion equation with nonlinear source term by He’s homotopy perturbation method. Zbl 1192.65137
Momani, Shaher; Yıldırım, Ahmet
2010
Fuzzy fractional order sliding mode controller for nonlinear systems. Zbl 1221.93140
Delavari, H.; Ghaderi, R.; Ranjbar, A.; Momani, S.
2010
Analytical approximate solutions of systems of fractional algebraic-differential equations by homotopy analysis method. Zbl 1189.65187
2010
Solutions of a fractional oscillator by using differential transform method. Zbl 1189.34068
Al-Rabtah, Adel; Ertürk, Vedat Suat; Momani, Shaher
2010
Chaotic fractional-order Coullet system: synchronization and control approach. Zbl 1221.37222
Shahiri, M.; Ghaderi, R.; N., A. Ranjbar; Hosseinnia, S. H.; Momani, S.
2010
Fractional order control of a coupled tank. Zbl 1204.93086
Delavari, H.; Ranjbar, A. N.; Ghaderi, R.; Momani, S.
2010
An effective variational iteration algorithm for solving Riccati differential equations. Zbl 1192.65095
Ghorbani, Asghar; Momani, Shaher
2010
Synchronization of fractional-order chaotic system via adaptive PID controller. Zbl 1206.93059
2010
Construction of analytical solutions to fractional differential equations using homotopy analysis method. Zbl 1229.65143
2010
Series solutions of a fractional oscillator by means of the homotopy perturbation method. Zbl 1191.65089
Yıldırım, Ahmet; Momani, Shaher
2010
Synchronization of gyro systems via fractional-order adaptive controller. Zbl 1222.93119
2010
Synchronization of chaotic nonlinear gyros using fractional order controller. Zbl 1222.93129
2010
Homotopy analysis method for fractional IVPs. Zbl 1221.65277
Hashim, I.; Abdulaziz, O.; Momani, S.
2009
The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics. Zbl 1189.65254
Odibat, Zaid; Momani, Shaher
2009
The multistage homotopy-perturbation method: a powerful scheme for handling the Lorenz system. Zbl 1198.65135
Chowdhury, M. S. H.; Hashim, I.; Momani, S.
2009
The modified homotopy perturbation method for solving strongly nonlinear oscillators. Zbl 1189.65168
Momani, Shaher; Erjaee, G. H.; Alnasr, M. H.
2009
Homotopy analysis method for systems of fractional integro-differential equations. Zbl 1180.65181
2009
Subordination and superordination for certain analytic functions containing fractional integral. Zbl 1195.30019
Ibrahim, R. W.; Darus, M.; Momani, S.
2009
Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order. Zbl 1152.34311
Odibat, Zaid; Momani, Shaher
2008
A generalized differential transform method for linear partial differential equations of fractional order. Zbl 1132.35302
Odibat, Zaid; Momani, Shaher
2008
Numerical methods for nonlinear partial differential equations of fractional order. Zbl 1133.65116
Odibat, Zaid; Momani, Shaher
2008
Application of generalized differential transform method to multi-order fractional differential equations. Zbl 1221.34022
Erturk, Vedat Suat; Momani, Shaher; Odibat, Zaid
2008
Solving systems of fractional differential equations using differential transform method. Zbl 1141.65088
Ertürk, Vedat Suat; Momani, Shaher
2008
Existence of the mild solution for fractional semilinear initial value problems. Zbl 1160.34300
2008
Generalized differential transform method: Application to differential equations of fractional order. Zbl 1141.65092
Odibat, Zaid; Momani, Shaher; Erturk, Vedat Suat
2008
A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor’s formula. Zbl 1148.65099
Momani, Shaher; Odibat, Zaid
2008
Solving systems of fractional differential equations by homotopy-perturbation method. Zbl 1217.81080
Abdulaziz, O.; Hashim, I.; Momani, S.
2008
Application of homotopy-perturbation method to fractional IVPs. Zbl 1142.65104
Abdulaziz, O.; Hashim, I.; Momani, S.
2008
Variational iteration method for solving the space- and time-fractional KdV Equation. Zbl 1130.65132
Momani, Shaher; Odibat, Zaid; Alawneh, Ahmed
2008
Numerical solutions of the space-time fractional advection-dispersion equation. Zbl 1148.76044
Momani, Shaher; Odibat, Zaid
2008
Using an enhanced homotopy perturbation method in fractional differential equations via deforming the linear part. Zbl 1165.65375
Hosseinnia, S. H.; Ranjbar, A.; Momani, S.
2008
Solutions of nonlinear oscillators by the modified differential transform method. Zbl 1142.65058
Momani, Shaher; Ertürk, Vedat Suat
2008
...and 64 more Documents
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### Cited in 297 Serials

 184 Computers & Mathematics with Applications 167 Applied Mathematics and Computation 146 Advances in Difference Equations 140 Chaos, Solitons and Fractals 122 Abstract and Applied Analysis 102 Communications in Nonlinear Science and Numerical Simulation 68 Mathematical Problems in Engineering 66 Journal of Computational and Applied Mathematics 62 International Journal of Applied and Computational Mathematics 59 Applied Mathematical Modelling 59 International Journal of Computer Mathematics 57 Nonlinear Dynamics 54 Computational and Applied Mathematics 37 Applied Numerical Mathematics 35 Advances in Mathematical Physics 34 Mathematical Methods in the Applied Sciences 33 Applied Mathematics Letters 33 Journal of Applied Mathematics and Computing 32 International Journal of Numerical Methods for Heat & Fluid Flow 31 Physica A 30 Fractals 30 Journal of Applied Mathematics 29 Discrete Dynamics in Nature and Society 29 International Journal of Differential Equations 29 Journal of Function Spaces 28 Numerical Algorithms 27 Soft Computing 27 Fractional Calculus & Applied Analysis 26 Numerical Methods for Partial Differential Equations 26 AIMS Mathematics 24 Mathematics and Computers in Simulation 23 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 22 Complexity 21 Boundary Value Problems 20 Journal of Computational Physics 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 18 Journal of Mathematical Chemistry 16 Mathematical and Computer Modelling 15 Nonlinear Analysis. Real World Applications 15 Computational Methods for Differential Equations 14 Journal of the Franklin Institute 14 Journal of Mathematical Analysis and Applications 14 Mathematical Sciences 12 International Journal for Numerical Methods in Fluids 12 International Journal of Computational Methods 11 Journal of the Egyptian Mathematical Society 11 International Journal of Nonlinear Sciences and Numerical Simulation 11 Journal of Nonlinear Science and Applications 10 Mediterranean Journal of Mathematics 10 Tbilisi Mathematical Journal 9 Information Sciences 9 Journal of Scientific Computing 9 Applications and Applied Mathematics 9 International Journal of Biomathematics 9 S$$\vec{\text{e}}$$MA Journal 8 Applicable Analysis 8 Filomat 8 Engineering Analysis with Boundary Elements 8 Asian-European Journal of Mathematics 8 International Journal for Numerical Methods in Biomedical Engineering 8 Afrika Matematika 7 International Journal of Control 7 Physics Letters. A 7 International Journal of Mathematics and Mathematical Sciences 7 Computational Mathematics and Modeling 7 Chaos 7 Nonlinear Analysis. Modelling and Control 7 Boletim da Sociedade Paranaense de Matemática. Terceira Série 7 Mathematical Modelling of Natural Phenomena 7 Asian Journal of Control 7 Journal of Mathematical Extension 7 Journal of Applied Analysis and Computation 7 Fractional Differential Calculus 7 Journal of Applied Nonlinear Dynamics 7 Mathematics 6 International Journal of Modern Physics B 6 Acta Mechanica 6 Journal of Mathematical Physics 6 Acta Applicandae Mathematicae 6 Journal of Vibration and Control 6 Iranian Journal of Science and Technology. Transaction A: Science 6 Inverse Problems in Science and Engineering 6 Advances in Applied Mathematics and Mechanics 6 International Journal of Systems Science. Principles and Applications of Systems and Integration 5 Computer Physics Communications 5 International Journal of Heat and Mass Transfer 5 Journal of Optimization Theory and Applications 5 Applied Mathematics. Series B (English Edition) 5 Turkish Journal of Mathematics 5 Discrete and Continuous Dynamical Systems. Series B 5 Waves in Random and Complex Media 5 Discrete and Continuous Dynamical Systems. Series S 5 Symmetry 5 Journal of the Korean Society for Industrial and Applied Mathematics 5 Journal of Mathematics 4 International Journal of Theoretical Physics 4 Calcolo 4 Optimal Control Applications & Methods 4 Circuits, Systems, and Signal Processing 4 Applied Mathematics and Mechanics. (English Edition) ...and 197 more Serials
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### Cited in 52 Fields

 1,408 Numerical analysis (65-XX) 1,080 Ordinary differential equations (34-XX) 1,040 Partial differential equations (35-XX) 553 Real functions (26-XX) 323 Integral equations (45-XX) 215 Biology and other natural sciences (92-XX) 169 Systems theory; control (93-XX) 163 Fluid mechanics (76-XX) 108 Operator theory (47-XX) 98 Dynamical systems and ergodic theory (37-XX) 73 Calculus of variations and optimal control; optimization (49-XX) 58 Approximations and expansions (41-XX) 57 Special functions (33-XX) 57 Mechanics of deformable solids (74-XX) 57 Classical thermodynamics, heat transfer (80-XX) 49 Statistical mechanics, structure of matter (82-XX) 45 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 42 Integral transforms, operational calculus (44-XX) 37 Probability theory and stochastic processes (60-XX) 35 Information and communication theory, circuits (94-XX) 30 Operations research, mathematical programming (90-XX) 29 Computer science (68-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 26 Mechanics of particles and systems (70-XX) 23 Functional analysis (46-XX) 22 Difference and functional equations (39-XX) 18 Quantum theory (81-XX) 17 Optics, electromagnetic theory (78-XX) 10 Statistics (62-XX) 9 Measure and integration (28-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Number theory (11-XX) 7 Functions of a complex variable (30-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Topological groups, Lie groups (22-XX) 6 Geophysics (86-XX) 5 Combinatorics (05-XX) 5 General topology (54-XX) 4 Sequences, series, summability (40-XX) 3 Mathematical logic and foundations (03-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Algebraic topology (55-XX) 2 Abstract harmonic analysis (43-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Differential geometry (53-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)

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