Caputo-Katugampola type Implicit fractional differential equation with two-point anti-periodic boundary conditions
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Keywords:
implicit fractional dierential equation fractional derivative and fractional integral anti-periodic conditions; xed point theorem; Gronwall inequality.Abstract
The given article describes the implicit fractional differential 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 Fixed 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.
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Published
2022-11-07
How to Cite
Saleh S. Redhwan, Sadikali L. Shaikh, & Mohammed S. Abdo. (2022). Caputo-Katugampola type Implicit fractional differential equation with two-point anti-periodic boundary conditions. Results in Nonlinear Analysis, 5(1), 12–28. Retrieved from https://nonlinear-analysis.com/index.php/pub/article/view/84
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