Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation
J. Vanterler da C. Sousa, E. Capelas de Oliveira
TL;DR
This paper investigates the stability of a nonlinear fractional Volterra integro-differential equation using the $ $-Hilfer fractional derivative, employing fixed-point methods to establish Hyers-Ulam stability results.
Contribution
It introduces a novel analysis of Hyers-Ulam stability for fractional Volterra equations with the $ $-Hilfer derivative, expanding stability theory in fractional calculus.
Findings
Established Hyers-Ulam stability under certain conditions
Applied fixed-point method for stability analysis
Extended stability results to fractional Volterra equations
Abstract
Using the Hilfer fractional derivative, we present a study of the Hyers-Ulam-Rassias stability and the Hyers-Ulam stability of the fractional Volterra integral-differential equation by means of fixed-point method.
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Taxonomy
TopicsFunctional Equations Stability Results · Nonlinear Differential Equations Analysis · Fractional Differential Equations Solutions