Results 11 to 20 of about 442,403 (170)
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this manuscript the existence of the fractional-order functional differential inclusions [FFDI] with state-dependent delay [SDD] is investigated within the Mittag-Leffler kernel.
Arjunan Mani Mallika +2 more
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Numerical analysis of nonlinear parabolic problems with variable exponent and $L^1$ data
Cubo, 2022 In this paper, we make the numerical analysis of the mild solution which is also an entropy solution of parabolic problem involving the $p(x)-$Laplacian operator with $L^1-$ data.
Stanislas Ouaro +2 more
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Random semilinear system of differential equations with impulses
Fixed Point Theory and Applications, 2017 In this paper, we study the existence of solutions for systems of random semilinear impulsive differential equations. The existence results are established by means of a new version of Perov’s, a nonlinear alternative of Leray-Schauder’s fixed point ...
A Baliki, JJ Nieto, A Ouahab, ML Sinacer
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Mathematics, 2023 This research delves into the field of fractional differential equations with both non-instantaneous impulses and delay within the framework of Banach spaces.
Abdellatif Benchaib +3 more
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Mild Solutions of Second-Order Semilinear Impulsive Differential Inclusions in Banach Spaces
Mathematics, 2022 In this paper, the existence of a mild solution to the Cauchy problem for impulsive semilinear second-order differential inclusion in a Banach space is investigated in the case when the nonlinear term also depends on the first derivative. This purpose is
Martina Pavlačková, Valentina Taddei
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Impulsive fractional differential inclusions with state-dependent delay [PDF]
Mathematica Moravica, 2019 In this paper, we prove the existence of mild solution for impulsive fractional inclusions with state-dependent delay in Banach spaces. Our study is based on the nonlinear alternative of Leray-Schauder type for multivalued maps due to Martelli.
Aissani Khalida, Benchohra Mouffak
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Heat equation with general stochastic measure colored in time
Modern Stochastics: Theory and Applications, 2014 A stochastic heat equation on $[0,T]\times \mathbb{R}$ driven by a general stochastic measure $d\mu (t)$ is investigated in this paper. For the integrator μ, we assume the σ-additivity in probability only. The existence, uniqueness, and Hölder regularity
Vadym Radchenko
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Existence and Controls for Fractional Evolution Equations
AxiomsIn this paper, we investigate the existence and uniqueness of mild solutions for non-autonomous fractional evolution equations (NFEEs) using the technique of non-compactness measure, focusing on scenarios where the semigroup is non-compact.
Ying Chen, Yong Zhou
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Fractal and FractionalThis paper discusses the asymptotic controllability of fractional-order Sobolev-type perturbed stochastic control systems with Brownian motion and nonlocal fractional-order Sobolev stochastic conditions.
Tayeb Blouhi +6 more
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Strong Solutions and Mild Solutions for Sturm-Liouville Differential Inclusions
Set-Valued and Variational AnalysisAbstractExistence results for a Cauchy problem driven by a semilinear differential Sturm-Liouville inclusion are achived by proving, in a preliminary way, an existence theorem for a suitable integral inclusion. In order to obtain this proposition we use a recent fixed point theorem that allows us to work with the weak topology and the De Blasi measure ...
Tiziana Cardinali, Giulia Duricchi
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