A general class of noninstantaneous impulsive fractional differential inclusions in Banach spaces [PDF]
Advances in Difference Equations, 2017 In this paper we introduce the concept of a PC-mild solution to a general new class of noninstantaneous impulsive fractional differential inclusions involving the generalized Caputo derivative with the lower bound at zero in infinite dimensional Banach ...
JinRong Wang +3 more
doaj +4 more sources
Existence and Controllability Results for Nonlocal Fractional Impulsive Differential Inclusions in Banach Spaces [PDF]
Journal of Function Spaces and Applications, 2013 We firstly deal with the existence of mild solutions for nonlocal fractional impulsive semilinear differential inclusions involving Caputo derivative in Banach spaces in the case when the linear part is the infinitesimal generator of a semigroup not ...
JinRong Wang, Ahmed G. Ibrahim
doaj +2 more sources
Impulsive fractional differential inclusions with infinite delay
Electronic Journal of Differential Equations, 2013 In this article, we apply Bohnenblust-Karlin's fixed point theorem to prove the existence of mild solutions for a class of impulsive fractional equations inclusions with infinite delay. An example is given to illustrate the theory.
Khalida Aissani, Mouffak Benchohra
doaj +2 more sources
Existence Criteria for Katugampola Fractional Type Impulsive Differential Equations with Inclusions
Journal of Mathematical Sciences and Modelling, 2019 In this paper, we consider the existence and uniqueness of solutions to the impulsive differential equations with inclusions involving Katugampola fractional derivative.
Elsayed Mohammed Elsayed +2 more
doaj +4 more sources
Abstract Impulsive Volterra Integro-Differential Inclusions
Fractal and Fractional, 2023 In this work, we provide several applications of (a, k)-regularized C-resolvent families to the abstract impulsive Volterra integro-differential inclusions.
Wei-Shih Du +2 more
doaj +3 more sources
Impulsive Fractional Differential Inclusions Involving the Caputo Fractional Derivative [PDF]
, 2009 Mathematics Subject Classification: 26A33, 34A37. In this paper, we establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential inclusions involving the Caputo fractional derivative. Both cases of convex and nonconvex valued right-hand side are considered.
Ait Dads, E., Benchohra, M., Hamani, S.
openaire +3 more sources
Mathematics, 2017 In this manuscript, we implement Bohnenblust–Karlin’s fixed point theorem to demonstrate the existence of mild solutions for a class of impulsive fractional integro-differential inclusions (IFIDI) with state-dependent delay (SDD) in Banach spaces.
Selvaraj Suganya, Mani Mallika Arjunan
doaj +3 more sources
Some results on impulsive boundary value problem for fractional differential inclusions
Electronic Journal of Qualitative Theory of Differential Equations, 2011 This paper deals with impulsive fractional differential inclusions with a fractional order multi-point boundary condition and with fractional order impulses.
Jianxin Cao, Haibo Chen
doaj +3 more sources
Existence of solutions to differential inclusions with fractional order and impulses
Electronic Journal of Differential Equations, 2010 We establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential inclusions involving the Caputo fractional derivative.
Mouffak Benchohra +3 more
doaj +3 more sources
Existence of multiple positive solutions of a nonlinear arbitrary order boundary value problem with advanced arguments [PDF]
, 2012 In this paper, we investigate nonlinear fractional differential equations of arbitrary order with advanced arguments \begin{equation*}\left\{\begin {array}{ll} D^\alpha_{0^+} u(t) +a(t)f(u(\theta(t)))=0 ...
Ntouyas, S., Wang, Guotao, Zhang, Lihong
core +14 more sources