BOUNDARY VALUE PROBLEMS FOR DIFFERENTIAL EQUATIONS WITH FRACTIONAL ORDER

By Mouffak Benchohra, S. Hamani, Sotiris K. Ntouyas. 2008

219 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/ed42ae02b85a057a02dff65da0fef85ec22d1a0a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Saïd Abbas
2. Ravi P. Agarwal
3. A. Vityuk
4. John R. Graef
5. Shuqin Zhang
6. A. Shi
7. S. Hamani
8. Mouffak Benchohra

Citations in the corpus

• Upper and lower solutions method and a fractional differential equation boundary value problem. (2009, background): “EJQTDE, 2009 No. 30, p. 1 existence of solution to boundary value problem for fractional differential equations, such as [2] [ 7 ], by means of some fixed point theorems.”
• A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions (2010, background): “... a significant development in ordinary and partial differential equations involving both Riemann-Liouville and Caputo fractional derivatives in recent years; see the monographs of Kilbas et al. [68], Kiryakova [69], Miller and Ross [75], Samko et al. [85] and the papers of Agarwal et al. [2–6], A”
• IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES (2009, unknown): “[12, 13, 15], Delboso and Rodino [20], Diethelm and Ford [22], El-Sayed et al.”
• Measure of Noncompactness and Fractional Differential Equations in Frechet Spaces (2020, unknown): “[13, 14], Delboso and Rodino [15], Diethelm and Ford [16], El-Sayed et al.”
• On the Application of Measure of Noncompactness to the Existence of Solutions for Fractional Differential Equations (2009, background): “In cause, in part to the intensive development of the theory of fractional calculus itself, we refer the reader to the papers of Agarwal et al. [ 1 , 2], Belarbi et al. [13], Benchohra et al. [14, 15], Delboso and Rodino [16], Diethelm and Ford [17], El-Sayed et al. [18], Kilbas and Marzan [23] and ”
• Boundary value problems for hybrid differential equations with fractional order (2015, unknown): “[2] are discussed the following boundary value problems for differential equations with fractional order”
• Existence results for boundary value problems with non-linear fractional differential equations (2008, background): “A class of BVP for differential equations of fractional order has been considered in [31].”
• On fractional order derivatives and Darboux problem for implicit differential equations (2012, background): “[5, 6, 7], Diethelm [10], Kilbas and Marzan [14, 15], Mainardi [17], Podlubny et al.”