Results 21 to 30 of about 1,300 (198)
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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Results in Control and Optimization, 2022 This article studies the finite-time (FNT) and fixed-time (FXT) stability theorems of general fractional-order impulsive discontinuous systems (FOIDSs) through an indefinite Lyapunov functional (LF) approach.
K. Udhayakumar +3 more
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Cubo, 2023 In this research article, we delimitate the definition of mild solution for abstract fractional differential equations with state-dependent delay (AFDEw/SDD) of order \(\alpha\in(1,2)\) with impulsive effects and compare the solution to the second-order ...
Ganga Ram Gautam +4 more
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Fractal and Fractional, 2023 In this paper, we analyze various classes of Stepanov-p-almost periodic functions and Stepanov-p-almost automorphic functions (p>0). The class of Stepanov-p-almost periodic (automorphic) functions in norm (p>0) is also introduced and analyzed.
Marko Kostić, Wei-Shih Du
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UPPER AND LOWER SOLUTION METHODS FOR IMPULSIVE CAPUTO–HADAMARD FRACTIONAL DIFFERENTIAL INCLUSIONS
Rocky Mountain Journal of Mathematics, 2023 The paper deals with the initial value problem for the Caputo-Hadamard fractional differential inclusion with impulses \[ \left\{\begin{array}{l} ^{CH}D^ry(t)\in F(t,y(t)),\text{ for a.e. }t\in J=[a,T],\,\,t\not=t_k,\,\,k=1,\ldots,m,\\ \Delta y|_{t=t_k}=I_k(y(t_k^-)),\,\,\,k=1,\ldots,m,\\ \Delta y'|_{t=t_k}=\overline{I}_k(y(t_k^-)),\,\,\,k=1,\ldots,m,\\
Farida Belhannache +2 more
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On the Nonlinear Impulsive $\Psi$--Hilfer Fractional Differential Equations [PDF]
, 2019 In this paper, we consider the nonlinear $\Psi$-Hilfer impulsive fractional differential equation. Our main objective is to derive the formula for the solution and examine the existence and uniqueness of results.
Kharade, Jyoti P. +2 more
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Long time behavior of fractional impulsive stochastic differential equations with infinite delay [PDF]
, 2019 This paper is first devoted to the local and global existence of mild solutions for a class of fractional impulsive stochastic differential equations with infinite delay driven by both K-valued Q-cylindrical Brownian motion and fractional Brownian motion
Caraballo Garrido, Tomás, Xu, Jiaohui
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