Existence Results for Impulsive Fractional Differential Inclusions with Two Different Caputo Fractional Derivatives [PDF]
Discrete Dynamics in Nature and Society, 2019 In this paper, we study the impulsive fractional differential inclusions with two different Caputo fractional derivatives and nonlinear integral boundary value conditions.
Dongdong Gao, Jianli Li
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Second Order Impulsive Retarded Differential Inclusions with Nonlocal Conditions [PDF]
Abstract and Applied Analysis, 2014 In this work we establish some existence results for abstract second order Cauchy problems modeled by a retarded differential inclusion involving nonlocal and impulsive conditions.
Hernán R. Henríquez +2 more
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Hilfer-type fractional differential switched inclusions with noninstantaneous impulsive and nonlocal conditions [PDF]
Nonlinear Analysis, 2018 In this paper, we study a new class of nonlocal problems for noninstantaneous impulsive Hilfer-type fractional differential switched inclusions in Banach spaces.
JinRong Wang +2 more
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First order impulsive differential inclusions with periodic conditions [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2008 In this paper, we present an impulsive version of Filippov's Theorem for the first-order nonresonance impulsive differential inclusion $$ \begin{array}{rlll} y'(t)-\lambda y(t) &\in& F(t,y(t)), &\hbox{ a.e. } \, t\in J\backslash \{t_{1},\ldots,t_{m}\},\\
John Graef, Abdelghani Ouahab
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Three Solutions for Fourth-Order Impulsive Differential Inclusions via Nonsmooth Critical Point Theory [PDF]
Journal of Function Spaces, 2018 An existence of at least three solutions for a fourth-order impulsive differential inclusion will be obtained by applying a nonsmooth version of a three-critical-point theorem. Our results generalize and improve some known results.
Dongdong Gao, Jianli Li
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On periodic boundary value problems of first-order perturbed impulsive differential inclusions [PDF]
Electronic Journal of Differential Equations, 2004 In this paper we present an existence result for a first order impulsive differential inclusion with periodic boundary conditions and impulses at the fixed times under the convex condition of multi-functions.
Bapurao C. Dhage +2 more
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Existence of Infinitely Many Periodic Solutions for Perturbed Semilinear Fourth-Order Impulsive Differential Inclusions [PDF]
Abstract and Applied Analysis, 2016 This paper discusses the existence of infinitely many periodic solutions for a semilinear fourth-order impulsive differential inclusion with a perturbed nonlinearity and two parameters.
Massimiliano Ferrara +2 more
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Topological Structure of the Solution Sets for Impulsive Fractional Neutral Differential Inclusions with Delay and Generated by a Non-Compact Demi Group [PDF]
Fractal and Fractional, 2022 In this paper, we give an affirmative answer to a question about the sufficient conditions which ensure that the set of mild solutions for a fractional impulsive neutral differential inclusion with state-dependent delay, generated by a non-compact semi ...
Zainab Alsheekhhussain +2 more
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Solvability for a Class of Integro-Differential Inclusions Subject to Impulses on the Half-Line [PDF]
Mathematics, 2022 In this paper, we study a semilinear integro-differential inclusion in Banach spaces, under the action of infinitely many impulses. We provide the existence of mild solutions on a half-line by means of the so-called extension-with-memory technique, which
Paola Rubbioni
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Structure of solutions sets and a continuous version of Filippov's theorem for first order impulsive differential inclusions with periodic conditions [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2009 In this paper, the authors consider the first-order nonresonance impulsive differential inclusion with periodic conditions $$ \begin{array}{rlll} y'(t)-\lambda y(t) &\in& F(t,y(t)), &\hbox{ a.e. } \, t\in J\backslash \{t_{1},\ldots,t_{m}\},\\ y(t^+_{k})-
John Graef, Abdelghani Ouahab
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