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
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Existence of Solutions for Fractional-Order Neutral Differential Inclusions with Impulsive and Nonlocal Conditions [PDF]
Discrete Dynamics in Nature and Society, 2012 This paper investigates the existence of solutions for fractional-order neutral impulsive differential inclusions with nonlocal conditions. Utilizing the fractional calculus and fixed point theorem for multivalued maps, new sufficient conditions are ...
Chao Song, Tao Zhu, Jinde Cao
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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
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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
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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.
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Differential inclusions of arbitrary fractional order with anti-periodic conditions in Banach spaces [PDF]
, 2016 In this paper, we establish various existence results of solutions for fractional differential equations and inclusions of arbitrary order $q\in (m-1,m)$, where $m$ is an arbitrary natural number greater than or equal to two, in infinite dimensional ...
Feckan, Michal +2 more
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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
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Existence of solutions to fractional-order impulsive hyperbolic partial differential inclusions
Electronic Journal of Differential Equations, 2014 In this article we use the upper and lower solution method combined with a fixed point theorem for condensing multivalued maps, due to Martelli, to study the existence of solutions to impulsive partial hyperbolic differential inclusions at fixed ...
Said Abbas, Mouffak Benchohra
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SOLUTION SET FOR IMPULSIVE FRACTIONAL DIFFERENTIAL INCLUSIONS [PDF]
Kragujevac Journal of Mathematics, 2022 This paper aims to an initial value problem for an impulsive fractional differential inclusion with the Riemann-Liouville fractional derivative. We apply Covitz and Nadler theorem concerning the study of the fixed point for multivalued maps to obtain the existence results for the given problems.
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Mathematics, 2023 Conditions for the existence and uniqueness of mild solutions for a system of semilinear impulsive differential equations with infinite fractional Brownian movements and the Wiener process are established.
Abdelkader Moumen +4 more
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