Caputo-Katugampola-type implicit fractional differential equation with anti-periodic boundary conditions
Open Access
- 31 March 2022
- journal article
- research article
- Published by Erdal Karapinar in Results in Nonlinear Analysis
- Vol. 5 (1) , 12-28
Abstract
The given article describes the implicit fractional dierential equation with anti-periodic boundary conditions in the frame of Caputo-Katugampola fractional derivative. We obtain an analogous integral equation of the given problem and prove the existence and uniqueness results of such a problem using the Banach and Krasnoselskii xed point theorems. Further, by applying generalized Gronwall inequality, the Ulam-Hyers stability results are discussed. To show the eectiveness of the acquired results, convenient examples are presented.Keywords
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