November 12, 2025Mathematical Methods in the Applied Sciences

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

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Solutions for pantograph fractional integro-stochastic differential equations established using Banach fixed point theorem.
Existence and uniqueness analyzed through Ulam–Hyers stability and Gronwall's inequality.
Assessments conducted with illustrative examples demonstrating applicability of theoretical findings.
Findings support broader applications in stochastic differential equation modeling and stability analysis.

Implication

Analysis reveals existence and Ulam–Hyers stability in pantograph equations using Banach fixed point theorem, suggesting potential applications.

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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Cite This Study

Fakhfakh et al. (2025) studied this question.

synapsesocial.com/papers/69252e8bc0ce034ddc355c65 https://doi.org/10.1002/mma.70292

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Implication

Analysis reveals existence and Ulam–Hyers stability in pantograph equations using Banach fixed point theorem, suggesting potential applications.

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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