Results 11 to 20 of about 8,232,469 (362)
A New Study on the Mild Solution for Impulsive Fractional Evolution Equations [PDF]
Dynamic systems and applications, 2019 In this article, we consider mild solutions to a class of impulsive fractional evolution equations of order ...
X. Shu, Linxin Shu, Fei Xu
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AIMS Mathematics, 2020 This paper deals with the existence of mild solutions for non-linear fractional integrodifferential equations with state-dependent nonlocal conditions. The technique used is a generalization of the classical Darbo fixed point theorem for Fréchet spaces ...
Mouffak Benchohra +3 more
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Mild Solution for a Stochastic Partial Differential Equation with Noise
WSEAS Transactions on Systems, 2020 This paper focuses on the study of the existence of a mild solution to time and space-fractional stochastic equation perturbed by multiplicative white noise. The required results are obtained by means of Sadovskii’s fixed point theorem.
H. Djourdem, N. Bouteraa
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Mild to Classical Solutions for XVA Equations Under Stochastic Volatility [PDF]
SSRN Electronic Journal, 2021 We extend the valuation of contingent claims in presence of default, collateral and funding to a random functional setting and characterise pre-default value processes by martingales. Pre-default value semimartingales can also be described by BSDEs with random path-dependent coefficients and martingales as drivers.
Damiano Brigo +2 more
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The Burgers equation driven by a stochastic measure
Modern Stochastics: Theory and Applications, 2023 The class of one-dimensional equations driven by a stochastic measure μ is studied. For μ only σ-additivity in probability is assumed. This class of equations includes the Burgers equation and the heat equation.
Vadym Radchenko
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Extremal Mild Solutions of Hilfer Fractional Impulsive Systems
, 2021 The well established monotone iterative technique that is used to study the existence and uniqueness of fractional impulsive system is extended to Hilfer fractional order in this paper. The results are derived by using the method of upper and lower solution and Gronwall inequality.
Raghavan, Divya, Nagarajan, Sukavanam
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Stability analysis of partial differential variational inequalities in Banach spaces
Nonlinear Analysis, 2020 In this paper, we study a class of partial differential variational inequalities. A general stability result for the partial differential variational inequality is provided in the case the perturbed parameters are involved in both the nonlinear mapping ...
Faming Guo +3 more
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Asymptotic properties of the parabolic equation driven by stochastic measure
Modern Stochastics: Theory and Applications, 2022 A stochastic parabolic equation on $[0,T]\times \mathbb{R}$ driven by a general stochastic measure, for which we assume only σ-additivity in probability, is considered. The asymptotic behavior of its solution as $t\to \infty $ is studied.
Boris Manikin
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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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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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