Stability of fractional functional differential equations
J. Vanterler da C. Sousa, E. Capelas de Oliveira, F. G. Rodrigues
TL;DR
This paper investigates the stability properties of solutions to fractional functional differential equations, specifically focusing on Ulam-Hyers and Ulam-Hyers-Rassias stabilities, using the Banach fixed point theorem.
Contribution
It introduces a new stability analysis framework for fractional functional differential equations based on fixed point theory.
Findings
Established conditions for Ulam-Hyers stability
Proved Ulam-Hyers-Rassias stability under certain assumptions
Applied Banach fixed point theorem to fractional differential equations
Abstract
In this paper, we present a study on the Ulam-Hyers and Ulam-Hyers-Rassias stabilities of the solution of the fractional functional differential equation using the Banach fixed point theorem.
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Taxonomy
TopicsFunctional Equations Stability Results · Nonlinear Differential Equations Analysis · Fractional Differential Equations Solutions