2021 / March Volume 16 No.1
Implicit Fractional Differential Equation Involving $\psi$–Caputo with Boundary Conditions
Published Date |
2021 / March
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Title | Implicit Fractional Differential Equation Involving $\psi$–Caputo with Boundary Conditions |
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Pagination | 1-19 |
Abstract | In this research article, we discuss the existence results and uniqueness of solutions for a class of boundary value problems of fractional differential equations with the $\psi$–Caputo fractional derivative. The reasoning is mainly based upon different types of classical fixed point theory such as the Banach contraction principle and Krasnoselskii’s fixed point theorem. Besides, the Ulam-Hyers result is addressed for the proposed problem. We illustrate our main findings, with a particular case example included to show the applicability of our outcomes.
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DOI | |
AMS Subject Classification |
34B15, 34B18, 26A33, 34A12
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Received |
2021-01-20
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