Novel Findings on a Class of Pantograph Mixed Fractional Stochastic Differential Equations

ABSTRACT This paper establishes the existence and uniqueness (EU) of solutions for a class of pantograph fractional integro‐stochastic differential equations (PFISDEs) via the Banach fixed point theorem (BFPT). Furthermore, the Ulam–Hyers stability (UHS) is analyzed using Gronwall's inequality. The applicability of the theoretical findings is demonstrated through two illustrative examples.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2025-11-12
DOI
https://doi.org/10.1002/mma.70292
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
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article

Novel Findings on a Class of Pantograph Mixed Fractional Stochastic Differential Equations

Ayed R. A. Alanzi, Raouf Fakhfakh, Abdellatif Ben Makhlouf
Mathematical Methods in the Applied Sciences
Nonlinear Differential Equations Analysis
article

Novel Findings on a Class of Pantograph Mixed Fractional Stochastic Differential Equations

Ayed R. A. Alanzi, Raouf Fakhfakh, Abdellatif Ben Makhlouf
article en

Abstract

ABSTRACT This paper establishes the existence and uniqueness (EU) of solutions for a class of pantograph fractional integro‐stochastic differential equations (PFISDEs) via the Banach fixed point theorem (BFPT). Furthermore, the Ulam–Hyers stability (UHS) is analyzed using Gronwall's inequality. The applicability of the theoretical findings is demonstrated through two illustrative examples.

Mathematical Methods in the Applied SciencesVol. 49(4)
University of Sfax (TN), Jouf University (SA), Sohar University (OM)
Openalex Percentile: Top 53%
Nonlinear Differential Equations Analysis
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