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] 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 …

[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 …

[图书][B] Integral and discrete inequalities and their applications

Y Qin - 2016 - Springer
This book is Part II of a two-volume work on inequalities. It concentrates on one-and
multidimensional nonlinear integral and discrete Gronwall-Bellman-type inequalities and …

[PDF][PDF] On fractional Cauchy-type problems containing Hilfer's derivative

R Kamocki, C Obczynski - Electronic Journal of Qualitative Theory of …, 2016 - real.mtak.hu
In the paper we study fractional systems with generalized Riemann–Liouville derivatives. A
theorem on the existence and uniqueness of a solution to a fractional nonlinear ordinary …

[PDF][PDF] Non-existence of global solutions for a differential equation involving Hilfer fractional derivative

KM Furati, MD Kassim, NE Tatar - Electron. J. Differ. Equ, 2013 - emis.de
NON-EXISTENCE OF GLOBAL SOLUTIONS FOR A DIFFERENTIAL EQUATION INVOLVING
HILFER FRACTIONAL DERIVATIVE 1. Introduction We study th Page 1 Electronic Journal of …

Impulsive periodic boundary value problems for fractional differential equation involving Riemann–Liouville sequential fractional derivative

C Bai - Journal of Mathematical Analysis and Applications, 2011 - Elsevier
In this paper, we investigate the existence of solutions of the periodic boundary value
problem for nonlinear impulsive fractional differential equation involving Riemann–Liouville …

Well‐Posedness and Stability for a Differential Problem with Hilfer‐Hadamard Fractional Derivative

MD Kassim, NE Tatar - Abstract and Applied Analysis, 2013 - Wiley Online Library
Motivated by the Hilfer fractional derivative (which interpolates the Riemann‐Liouville
derivative and the Caputo derivative), we consider a new type of fractional derivative (which …

On a differential equation involving Hilfer‐Hadamard fractional derivative

MD Qassim, KM Furati, NE Tatar - Abstract and Applied …, 2012 - Wiley Online Library
This paper studies a fractional differential inequality involving a new fractional derivative
(Hilfer‐Hadamard type) with a polynomial source term. We obtain an exponent for which …