Fractional order pseudoparabolic partial differential equation: Ulam-Hyers stability
J. Vanterler da C. Sousa, E. Capelas de Oliveira
TL;DR
This paper investigates the stability of solutions to fractional order pseudoparabolic partial differential equations using Gronwall inequality, focusing on Ulam-Hyers and generalized Ulam-Hyers-Rassias stability concepts.
Contribution
It introduces a method to analyze stability of fractional pseudoparabolic PDEs employing Gronwall inequality, extending stability analysis in fractional differential equations.
Findings
Established Ulam-Hyers stability for the equations
Derived conditions for generalized Ulam-Hyers-Rassias stability
Provided a framework for stability analysis using Gronwall inequality
Abstract
Using Gronwall inequality we will investigate the Ulam-Hyers and generalized Ulam-Hyers-Rassias stabilities for the solution of a fractional order pseudoparabolic partial differential equation.
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Taxonomy
TopicsFunctional Equations Stability Results