Work

Periodic mild solutions of stochastic fractional integro-differential equations with delay and weakly singular kernels in Banach spaces

Year: 2026

Type: article

Abstract: This paper establishes the existence of mean-square $T$-periodic mild solutions for stochastic fractional integro-differential equations with delay and weakly singular kernels in Banach spaces. The model involves a Caputo fractional derivative, a weakly singular kernel, and stochastic perturbations driven by a cylindrical Wiener process. Under suitable periodicity, growth, and continuity conditions, we use resolvent family theory, stochastic analysis, and Krasnoselskii’s fixed point theorem to prove the existence of solutions. An illustrative example demonstrates the results.

Source: Nonlinear studies

Authors: Fatima Mesri, Abdelkrim Salim, Mouffak Benchohra, Gaston N'Gu'er'ekata

Institutions: Université Djilali de Sidi Bel Abbès, Hassiba Benbouali University of Chlef, Morgan State University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W7220528477

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