Results 21 to 30 of about 459,935 (318)
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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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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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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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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Existence and Uniqueness of Mild Solution for Fractional Integrodifferential Equations [PDF]
Advances in Difference Equations, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fang Li +1 more
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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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