A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions

RP Agarwal, M Benchohra, S Hamani - Acta Applicandae Mathematicae, 2010 - Springer
In this survey paper, we shall establish sufficient conditions for the existence and
uniqueness of solutions for various classes of initial and boundary value problem for …

[图书][B] Topics in fractional differential equations

S Abbas, M Benchohra, GM N'Guérékata - 2012 - books.google.com
​​​ Topics in Fractional Differential Equations is devoted to the existence and uniqueness
of solutions for various classes of Darboux problems for hyperbolic differential equations or …

[PDF][PDF] A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative

RP Agarwal, M Belmekki, M Benchohra - Advances in Difference …, 2009 - Springer
We establish sufficient conditions for the existence of mild solutions for some densely
defined semilinear functional differential equations and inclusions involving the Riemann …

On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order

B Ahmad, S Sivasundaram - Applied Mathematics and Computation, 2010 - Elsevier
In this paper, we prove the existence and uniqueness of solutions for a four-point nonlocal
boundary value problem of nonlinear integro-differential equations of fractional order q∈(1 …

[PDF][PDF] Existence and uniqueness of solutions to impulsive fractional differential equations.

M Benchohra, BA Slimani - Electronic Journal of Differential Equations …, 2009 - eudml.org
<noindent Electronic Journal of Differential Equations , Vol . 2009 ( 2009 ) , No . 1 0 , pp . 1 --
1 1 <noindent ISSN : 1 Page 1 <noindent Electronic Journal of Differential Equations , Vol …

[HTML][HTML] On fractional integro-differential equations with state-dependent delay

RP Agarwal, B de Andrade, G Siracusa - Computers & Mathematics with …, 2011 - Elsevier
On fractional integro-differential equations with state-dependent delay - ScienceDirect Skip to
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Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations

RP Agarwal, B De Andrade, C Cuevas - Nonlinear Analysis: Real World …, 2010 - Elsevier
We study the existence and uniqueness of a weighted pseudo-almost periodic (mild)
solution to the semilinear fractional equation∂ tαu= Au+∂ tα− 1f (⋅, u), 1< α< 2, where A is …

[PDF][PDF] Impulsive fractional differential equations in Banach spaces.

M Benchohra, D Seba - Electronic Journal of Qualitative Theory of …, 2009 - eudml.org
[1 1] A. Belarbi, M. Benchohra and A. Ouahab, Existance results for funct ional different ial
equations of fractional order, Appl. Anal. 85 (2006), 1459-1 470.[1 2] M. Benchohra, JR …

Investigation of a system of nonlinear fractional order hybrid differential equations under usual boundary conditions for existence of solution

A Shah, RA Khan, A Khan, H Khan… - … Methods in the …, 2021 - Wiley Online Library
This research work is related to investigate sufficient conditions for existence, uniquely of
solution to a coupled system of nonlinear fractional order hybrid differential equations …

Existence and uniqueness results for a class of generalized fractional differential equations

UN Katugampola - arXiv preprint arXiv:1411.5229, 2014 - arxiv.org
The author (Bull. Math. Anal. App. 6 (4)(2014): 1-15), introduced a new fractional
derivative,\[{}^\rho\mathcal {D} _a^\alpha f (x)=\frac {\rho^{\alpha-n+ 1}}{\Gamma ({n …