Results 21 to 30 of about 1,256 (201)
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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Impulsive differential inclusions with fractional order
Computers & Mathematics with Applications, 2010 The authors consider the Cauchy problem for a fractional impulsive differential inclusion: \[ \begin{cases} D^\alpha_*\in F(t,y(t)) \text{ a.e. } \, t\in J\backslash\{t_{1},\dots,t_{m}\},\\ y(t^+_k)=I_k(t^-_k),\; k=1,\dots,m,\\ y'(t^+_k)=\bar I_k(t^-_k),\; k=1,\dots,m,\\ y(0)=a, y'(0)=c, \end{cases} \] the case of fractional differential equations and ...
Henderson, Johnny, Ouahab, Abdelghani
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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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Impulsive stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay [PDF]
, 2016 In this paper, we prove the existence of mild solutions for the following first-order impulsive semilinear stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay in the case where the right hand side is ...
Boudaoui, Ahmed +2 more
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On noncompact fractional order differential inclusions with generalized boundary condition and impulses in a Banach space [PDF]
, 2015 We provide existence results for a fractional differential inclusion with nonlocal conditions and impulses in a reflexive Banach space. We apply a technique based on weak topology to avoid any kind of compactness assumption on the nonlinear term.
Benedetti, Irene +2 more
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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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Existence, uniqueness and stability of fractional impulsive functional differential inclusions
São Paulo Journal of Mathematical Sciences, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. Vanterler da C. Sousa +1 more
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