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 …

Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary conditions

JR Graef, L Kong, Q Kong, M Wang - Fractional Calculus and Applied …, 2012 - Springer
SURVEY PAPER UNIQUENESS OF POSITIVE SOLUTIONS OF FRACTIONAL BOUNDARY
VALUE PROBLEMS WITH NON-HOMOGENEOUS INTEGRAL BOUNDARY CONDI Page 1 …

[图书][B] Impulsive differential inclusions: a fixed point approach

JR Graef, J Henderson, A Ouahab - 2013 - books.google.com
Differential equations with impulses arise as models of many evolving processes that are
subject to abrupt changes, such as shocks, harvesting, and natural disasters. These …

Existence of solutions to boundary value problem for impulsive fractional differential equations

G Bonanno, R Rodríguez-López, S Tersian - Fractional Calculus and …, 2014 - Springer
In this paper we study the existence and the multiplicity of solutions for an impulsive
boundary value problem for fractional order differential equations. The notions of classical …

Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces

JR Wang, AG Ibrahim, M Fečkan - Applied Mathematics and Computation, 2015 - Elsevier
This paper investigates existence of PC-mild solutions of impulsive fractional differential
inclusions with nonlocal conditions when the linear part is a fractional sectorial operators …

[PDF][PDF] Impulsive partial hyperbolic functional differential equations of fractional order with state-dependent delay

S Abbas, M Benchohra - Fractional calculus and Applied analysis, 2010 - diogenes.bg
This paper deals with the existence and uniqueness of solutions of two classes of partial
impulsive hyperbolic differential equations with fixed time impulses and state-dependent …

Decay integral solutions for a class of impulsive fractional differential equations in Banach spaces

T Ke, D Lan - Fractional Calculus and Applied Analysis, 2014 - degruyter.com
The aim of this paper is to establish the existence of decay integral solutions to a class of
retarded fractional differential equations involving impulsive effects. The results are obtained …

[PDF][PDF] Existence theory for impulsive partial hyperbolic functional differential equations involving the Caputo fractional derivative

S Abbas, M Benchohra, L Gorniewicz - Sci. Math. Jpn, 2010 - Citeseer
EXISTENCE THEORY FOR IMPULSIVE PARTIAL HYPERBOLIC FUNCTIONAL
DIFFERENTIAL EQUATIONS INVOLVING THE CAPUTO FRACTIONAL DERIVATIVE S …

Fractional order partial hyperbolic differential equations involving Caputo's derivative.

S Abbas, M Benchohra - Studia Universitatis Babes-Bolyai …, 2012 - search.ebscohost.com
Fractional order partial hyperbolic differential equations involving Caputo’s derivative Page 1
Stud. Univ. Babes-Bolyai Math. 57(2012), No. 4, 469–479 Fractional order partial hyperbolic …