Existence and Stability of Nonlocal Initial Value Problems Involving Generalized Katugampola Derivative
-
Published:2022-06
Issue:3
Volume:46
Page:443-460
-
ISSN:1450-9628
-
Container-title:Kragujevac Journal of Mathematics
-
language:
-
Short-container-title:KgJMat
Author:
BAGWAN ARIF S., ,PACHPATTE DEEPAK B.
Abstract
In this paper, the existence results for the solutions to nonlocal initial value problems involving generalized Katugampola derivative are established. Some fixed point theorem techniques are used to derive the existence results. In the sequel, we investigate the generalized Ulam-Hyers-Rassias stability corresponding to our problem. Some examples are given to illustrate our main results.
Publisher
University Library in Kragujevac
Subject
General Mathematics