Geodesic
Existence and Stability of Nonlocal Initial Value Problems Involving Generalized Katugampola Derivative
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 3, p. 443 .

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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.
Classification : 26A33, 34A08, 34A12
Keywords: generalized Katugampola derivative, nonlocal initial value problem, Existence, Ulam-Hyers-Rassias stability 
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     author = {Arif S. Bagwan and Deepak B. Pachpatte},
     title = {Existence and {Stability} of {Nonlocal} {Initial} {Value} {Problems} {Involving} {Generalized} {Katugampola} {Derivative}},
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Arif S. Bagwan; Deepak B. Pachpatte. Existence and Stability of Nonlocal Initial Value Problems Involving Generalized Katugampola Derivative. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 3, p. 443 . http://geodesic.mathdoc.fr/item/KJM_2022_46_3_a8/