On Stability of Generalized Cauchy-type Problem
Sandeep P Bhairat
TL;DR
This paper investigates the stability of solutions to fractional differential equations with generalized Cauchy-type problems, employing Pachpatte inequality to derive stability results for equations involving the generalized Katugampola derivative.
Contribution
It introduces stability analysis for fractional differential equations with the generalized Katugampola derivative using Pachpatte inequality, extending existing stability results.
Findings
Established stability criteria for solutions of fractional differential equations.
Applied Pachpatte inequality to derive new stability bounds.
Extended stability analysis to generalized Cauchy-type problems.
Abstract
In this paper, we study the stability of solution of initial value problem for fractional differential equation involving generalized Katugampola derivative. Pachpatte inequality is used as handy tool to obtain our result.
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Taxonomy
TopicsFractional Differential Equations Solutions · Nonlinear Differential Equations Analysis · Differential Equations and Boundary Problems