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Research TitleAuthorsJournalVolume & Page NumbersPublisherYear
Analysis of a Fractional Eigenvalue Problem Involving Atangana-Baleanu Fractional Derivative: A Maximum Principle and ApplicationsMohammed Al-Refai, Mohamed Ali HajjiChaos: An Interdisciplinary Journal of Nonlinear Science29AIP Publishing24/1/2019
Fundamental results on weighted Caputo-Fabrizio fractional derivativeMohammed Al-Refai, Abdulla M. JarrahChaos, Solitons and Fractals126ELSEVIER05/06/2019
New Aspects of Caputo-Fabrizio Fractional DerivativeMohammed Al-Refai, Kamal PalProgress in Fractional Differentiation and Applications5Natural Sciences01/04/2019
Fundamental Results on Systems of Fractional Differential Equations Involving Caputo-Fabrizio Fractional DerivativeMohammed Al-RefaiJordan Journal of Mathematics and Statistics12Deanship of Research and Graduate Studies, Yarmouk University12/2019
Fractional differential equations with Atangana–Baleanu fractional derivative: Analysis and applicationsMohamed Syam, Mohammed Al-RefaiChaos, Solitons & Fractals2Elsevier11/10/2019
Monotone iterative sequences for nonlinear boundary value problems of fractional orderAl-Refai, Mohammed and Hajji, Mohamed AliNonlinear Analysis: Theory, Methods \& Applications74Elsevier2011
Fundamental results of conformable Sturm-Liouville eigenvalue problemsAl-Refai, Mohammed and Abdeljawad, ThabetComplexity2017Hindawi2017
Maximum principle for the fractional diffusion equations with the Riemann-Liouville fractional derivative and its applicationsAl-Refai, Mohammed and Luchko, YuriFractional Calculus and Applied Analysis17Versita2014
On the fractional derivatives at extreme pointsAl-Refai, MohammedElectronic Journal of Qualitative Theory of Differential Equations55University of Szeged, Hungary2012
Maximum principle for the multi-term time-fractional diffusion equations with the Riemann--Liouville fractional derivativesAl-Refai, Mohammed and Luchko, YuriApplied Mathematics and Computation257Elsevier2015
Basic results on nonlinear eigenvalue problems of fractional orderAl-Refai, MohammedElectronic Journal of Differential Equations2012----2012
Analysis of the fractional diffusion equations with fractional derivative of non-singular kernelAl-Refai, Mohammed and Abdeljawad, ThabetAdvances in Difference Equations2017Springer2017
Analysis of the fractional diffusion equations with fractional derivative of non-singular kernelAl-Refai, Mohammed and Abdeljawad, ThabetAdvances in Difference Equations2017Springer2017
Traveling wave solutions using the variational method and the tanh method for nonlinear coupled equationsAl-Khaled, Kamel and Al-Refai, Mohammed and Alawneh, AmeenApplied Mathematics and Computation202Elsevier2008
Options pricing in jump diffusion markets during financial crisisEl-Khatib, Youssef and Hajji, Mohamed Ali and Al-Refai, MohammedApplied Mathematics \& Information Sciences7Natural Sciences Publishing Corp2013
Fractional differential equations involving Caputo fractional derivative with Mittag-Leffler non-singular kernel: comparison principles and applicationsAl-Refai, MohammedarXiv preprint arXiv:1710.03407--------2017
Analysis of fractional diffusion equations of distributed order: Maximum principles and their applicationsAl-Refai, Mohammed and Luchko, YuriAnalysis36De Gruyter Oldenbourg2016
Positive solutions and monotone iterative sequences for a class of higher order boundary value problems of fractional orderSyam, MUHAMED and Al-Refai, MohammedJournal of Fractional Calculus and Applications4----2013
On the existence and uniqueness of solutions for a class of non-linear fractional boundary value problemsAbdulla, Arwa Ba and Al-Refai, Mohammed and Al-Rawashdeh, AhmedJournal of King Saud University-Science28Elsevier2016
Solving fractional diffusion equation via the collocation method based on fractional legendre functionsSyam, Muhammed and Al-Refai, MohammedJournal of Computational Methods in Physics2014Hindawi2014
Existence, uniqueness and bounds for a problem in combustion theoryAl-Refai, MohammedJournal of Computational and Applied Mathematics167Elsevier2004
Monotone iterative sequences for non-local elliptic problemsAl-Refai, Mohammed and Kavallaris, Nikos I and Hajji, Mohamed AliEuropean Journal of Applied Mathematics22Cambridge University Press2011
Bounds and critical parameters for a combustion problemAl-Refai, MohammedJournal of computational and applied mathematics188Elsevier2006
A maximum principle for a fractional boundary value problem with convection term and applicationsAl-Refai, Mohammed and Pal, KamalMathematical Modelling and Analysis24----2019
Bounds and critical parameters for a class of non-local problems.Al-Refai, Mohammed and Kavallaris, Nikos IElectronic Journal of Differential Equations (EJDE)[electronic only]2006Southwest Texas State University, Department of Mathematics, San Marcos, TX~…2006
Computing derivatives of Jacobi polynomials using Bernstein transformation and differentiation matrixRababah, Abedallah and Al-Refai, Mohammed and Al-Jarrah, RadwanNumerical Functional Analysis and Optimization29Taylor \& Francis2008
Reduction of order formula and fundamental set of solutions for linear fractional differential equationsAl-Refai, MohammedApplied Mathematics Letters82Elsevier2018
Analytical sequences of upper and lower solutions for a class of elliptic equationsAl-Refai, Mohammed and Syam, Muhammed and Al-Mdallal, QasemJournal of mathematical analysis and applications374Elsevier2011
An efficient method for analyzing the solutions of the Korteweg-de Vries equationAl-Refai, Mohammed and Syam, MuhammedCommunications in Nonlinear Science and Numerical Simulation14Elsevier2009
Theoretical and computational perspectives on the eigenvalues of fourth-order fractional Sturm--Liouville problemAl-Mdallal, Qasem and Al-Refai, Mohammed and Syam, Muhammed and Al-Srihin, Moh'd KhierInternational Journal of Computer Mathematics95Taylor \& Francis2018
An efficient series solution for nonlinear multiterm fractional differential equationsAl-Srihin, Moh’d Khier and Al-Refai, MohammedDiscrete Dynamics in Nature and Society2017Hindawi2017
Convergence analysis for an iterative method for solving nonlinear parabolic systemsAl-Refai, MohammedJournal of mathematical analysis and applications324Elsevier2006
Upper and lower bounds for a reactive-diffuse system with Arrhenius kineticsAl-Refai, Mohammed and Katatbeh, QutaibehInternational journal of mathematics and mathematical sciences2006Hindawi2006
Fractional differential equations with Atangana--Baleanu fractional derivative: analysis and applicationsSyam, MI and Al-Refai, MohammedChaos, Solitons \& Fractals: X2Elsevier2019
A Numerical method for solving a class of fractional Sturm-Liouville eigenvalue problemsSyam, Muhammed I and Al-Mdallal, Qasem M and Al-Refai, MohammedCommunications in Numerical Analysis--------2017
The Fractional Laguerre Equation: Series Solutions and Fractional Laguerre FunctionsShat, R and Alrefai, S and Alhamayda, I and Sarhan, A and Al-Refai, MFront. Appl. Math. Stat. 5: 11. doi: 10.3389/fams--------2019
On weighted Atangana--Baleanu fractional operatorsAl-Refai, MohammedAdvances in Difference Equations2020SpringerOpen2020
Monotonicity and convexity results for a function through its Caputo fractional derivativeAl-Refai, MohammedFractional Calculus and Applied Analysis20De Gruyter2017
On computation of bounds of the bifurcation parameter for a non-local elliptic equation with increasing nonlinearityAl-Refai, Mohammed and Kavallaris, Nikos IComputers \& Mathematics with Applications66Elsevier2013
Sequential eigenfunction expansion for a problem in combustion theoryAl-Refai, M and Tam, KKThe ANZIAM Journal45Cambridge University Press2003
New Aspects of Caputo-Fabrizio Fractional Derivative --------5----2019-04-01 00:00:00
Fractional differential equations with Atangana–Baleanu fractional derivative: Analysis and applications--------2Chaos, Solitons & Fractals/ElSevier2019-10-11 00:00:00
A reliable method for first order delay equations based on the implicit hybrid methodMuhammed Syam, Mohammed Al-RefaiAlexandria Engineering Journal59Elsevier2020/5/29
Maximum Principles for Nonlinear Fractional Differential Equations in Reliable SpaceAl-Refai, MohammedProgress in Fractional Differentiation and Applications6Natural Sciences2020/1/4
On weighted Atangana-Baleanu fractional operators--------2020Advances in Difference Equations/Springer2020-01-02 00:00:00
A reliable method for first order delay equations based on the implicit hybrid method--------59Alexandria Engineering Journal/Elsevier2020-05-29 00:00:00
Maximum Principles for Nonlinear Fractional Differential Equations in Reliable Space--------6----2020-04-01 00:00:00
Comparison principles of fractional differential equations with non-local derivative and their applicationsMohanned Al-Refai, Dumitru BaleanuAIMS Mathematics.6----20/11/2020
Comparison principles of fractional differential equations with non-local derivative and their applications--------6AIMS Mathematics/AIMS Press2020-11-20 00:00:00
Optimization of One-Step Block Method for Solving Second-Order Fuzzy Initial Value ProblemsSafa Al-Refai, Muhammed I Syam, Mohammed Al-RefaiComplexity2021Hindawi2021/4/29
Optimization of One-Step Block Method for Solving Second-Order Fuzzy Initial Value Problems--------2021Complexity/Hindawi2021-04-29 00:00:00
Proper inverse operators of fractional derivatives with nonsingular kernelsMohammed Al-RefaiRendiconti del Circolo Matematico di Palermo Series 2----Springer07/07/2021
Analysis of fractional differential equations with fractional derivative of generalized Mittag-Leffler kernelMohammed Al-Refai, Abdalla Aljarrah, Thabet AbdeljawaddAdvances in Difference Equations325Springer01/07/2021
Proper inverse operators of fractional derivatives with nonsingular kernels----------------2021-07-07 00:00:00
Analysis of fractional differential equations with fractional derivative of generalized Mittag-Leffler kernel--------2021Advances in Difference Equations/Springer2021-07-01 00:00:00
Maximum principles and applications for fractional differential equations with operators involving Mittag-Leffler functionMohammed Al-RefaiFractional Calculus and Applied Analysis24De Gruyter23/08/2021
Maximum principles and applications for fractional differential equations with operators involving Mittag-Leffler function--------24----2021-08-23 00:00:00
Analysis of Multiterm Initial Value Problems with Caputo–Fabrizio DerivativeMohammed Al-Refai, Muhammed SyamJournal of Mathematics2021Hindawi13/11/2021
Comparison principles for solutions to the fractional differential inequalities with the general fractional derivatives and their applicationsMohammed Al-Refai, Yuri LuchkoJournal of Differential Equations319Academic Press2022/5/15
A reliable approach for solving delay fractional differential equationsH. Ishak, M. Sharadga, M. Syam, M. Al-RefaiFractal and Fractional6MDPI2022/2/21
On an Extension of the Operator with Mittag-Leffler KernelMohammed Al-Refai, Dumitru BaleanuFractals3World Scientific Publishing Company31/5/2022
Maximum Principles for Fractional Differential Inequalities with Prabhakar Derivative and Their ApplicationsMohammed Al-Refai, Ameina Nusseir, Sharifa Al-SharifFractal and Fractional6MDPI2022/10/20
ell-Posedness of General Time-Fractional Diffusion Equations Involving Atangana-Baleanu Derivative vMohammed Al-Refai ,Soraya Abdelaziz, Nabil ShawagfehProgress in Fractional Differentiation and Applications9Natural Sciences2023/1/1
A Rigorous Analysis of Integro-Differential Operators with Non-Singular KernelsArran Fernandez, Mohammed Al-RefaiFractal and Fractional7MDPI24/2/2023
The general fractional integrals and derivatives on a finite intervalMohammed Al-Refai, Yuri LuchkoMathematics11MDPI17/2/2023
Generalising the fractional calculus with Sonine kernels via conjugationsMohammed Al-Refai, Arran FernandezJournal of Computational and Applied Mathematics427North-Holland8/1/2023
ANALYTICAL TREATMENTS TO SYSTEMS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH MODIFIED ATANGANA–BALEANU DERIVATIVEM. Al-Refai, M. Syam, D. BaleanuFractals31World Scientific10/10/2023
General Fractional Calculus Operators of Distributed OrderMohammed Al-Refai , Yuri LuchkoAxioms12MDPI24/11/2023
The general fractional integrals and derivatives on a finite intervalMohammed Al-Refai, Yuri LuchkoMathematics2023MDPI17/2/2023
The general fractional integrals and derivatives on a finite intervalMohammed Al-Refai, Yuri LuchkoMathematics2023MDPI17/2/2023
The general fractional integrals and derivatives on a finit intervalMohammed Al-Refai, Yuri LuchkoMathematics2023----17/2/2023
Comparison principles for a class of general integro-differential inequalities with applicationsMohammed Al-Refai, Arran FernandezComputational and Applied Mathematics43Springer23/2/2024
On some properties of generalized cardinal sine kernel fractional operators: Advantages and applications of the extended operatorsZaid Odibat, Mohammed Al-Refai, Dumitru BaleanuChinese Journal of Physics91ELSEVIER29/07/2024
A self-adjoint fractional Sturm-Liouville problem with the general fractional derivativesM. Al-Jararha, M. Al-Refai, Y. LuchkoJournal of Differential Equations413Elsevier25/12/2024
Analytical Study to Systems of Fractional Differential Equations with Prabhakar DerivativeTareq Namarneh, Mohammed Al-RefaiIFAC-PapersOnLine58Elsevier1/1/2024
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