| 作者：Mohammed Al-Refai , Thabet Abdeljawad |
| 来源：[J].Advances in Difference Equations(IF 0.76), 2017, Vol.2017 (1)Springer |
| 摘要：In this paper we study linear and nonlinear fractional diffusion equations with the Caputo fractional derivative of non-singular kernel that has been launched recently (Caputo and Fabrizio in Prog. Fract. Differ. Appl. 1(2):73-85, 2015 ). We first derive simple and strong maximum... |
全文获取| 作者：Mohammed Al-Refai |
| 来源：[J].Electronic Journal of Differential Equations(IF 0.426), 2018, Vol.2018 (36,), pp.1-10DOAJ |
| 摘要：In this article we study linear and nonlinear differentialequations involving the Caputo fractional derivative with Mittag-Lefflernon-singular kernel of order $0<\alpha<1$.We first obtain a new estimate of the fractional derivative of a functionat its extreme points and derive a ... |
| 作者：Mohammed Al-Refai , Mohamed Ali Hajji , Muhammad I. Syam |
| 来源：[J].Abstract and Applied Analysis(IF 1.102), 2014, Vol.2014DOAJ |
| 摘要：We introduce a simple and efficient series solution for a class of nonlinear fractional differential equations ofCaputo's type. The new approach is a modified form of the well-known Taylor series expansion where we overcome the difficulty of computing iterated fractional derivati... |
| 作者：Mohammed Al-Refai , Nikos I. Kavallaris |
| 来源：[J].Electronic Journal of Differential Equations(IF 0.426), 2006, Vol.2006 (29), pp.1DOAJ |
| 摘要：A non-local elliptic equation, for which comparison methods are applicable, associated with Robin boundary conditions is considered. Upper and lower solutions for this problem are obtained by solving algebraic equations. These upper and lower solutions are used to obtain analytic... |
| 作者：Mohammed Al-Refai |
| 来源：[J].Electronic Journal of Qualitative Theory of Differential Equations(IF 0.74), 2012, Vol.2012 (55), pp.1-5DOAJ |
| 摘要：We correct a recent result concerning the fractional derivative at extrema points. We then establish new results for the Caputo and Riemann-Liouville fractional derivatives at extrema points. |
| 作者：Mohammed Al-Refai , Nikos I. Kavallaris |
| 来源：[J].Electronic Journal of Differential Equations(IF 0.426), 2006, Vol.2006 (29), pp.1-16DOAJ |
| 摘要：A non-local elliptic equation, for which comparison methods are applicable, associated with Robin boundary conditions is considered. Upper and lower solutions for this problem are obtained by solving algebraic equations. These upper and lower solutions are used to obtain analytic... |
| 作者：Mohammed Al-Refai |
| 来源：[J].Electronic Journal of Differential Equations(IF 0.426), 2012, Vol.2012 (191,), pp.1-12DOAJ |
| 摘要：In this article, we discuss the basic theory of boundary-value problems of fractional order $1 < delta < 2$ involving the Caputo derivative. By applying the maximum principle, we obtain necessary conditions for the existence of eigenfunctions, and show analytical lower and upper ... |
| 作者：Mohammed Al-Refai , Mohamed Ali Hajji ... |
| 来源：[J].Abstract and Applied Analysis(IF 1.102), 2014, Vol.2014Hindawi |
| 摘要：We introduce a simple and efficient series solution for a class of nonlinear fractional differential equations ofCaputo's type. The new approach is a modified form of the well-known Taylor series expansion where we overcome the difficulty of computing iterated fractional derivati... |
| 作者：Moh’d Khier Al-Srihin , Mohammed Al-Refai , Thabet Abdeljawad |
| 来源：[J].Discrete Dynamics in Nature and Society(IF 0.82), 2017, Vol.2017Hindawi |
| 摘要：In this paper, we introduce an efficient series solution for a class of nonlinear multiterm fractional differential equations of Caputo type. The approach is a generalization to our recent work for single fractional differential equations. We extend the idea of the Taylor series ... |
| 作者：Mohammed Al-Refai , Abdulla M. Jarrah |
| 来源：[J].Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena(IF 1.246), 2019, Vol.126, pp.7-11Elsevier |
| 摘要：Abstract(#br)In this paper, we define the weighted Caputo–Fabrizio fractional derivative of Caputo sense, and study related linear and nonlinear fractional differential equations. The solution of the linear fractional differential equation is obtained in a closed form, and h... |