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Implicit Fractional Differential Equation Involving $\psi$–Caputo with Boundary Conditions
Author(s) -
Abdelatif Boutiara,
Maamar Benbachir
Publication year - 2021
Publication title -
bulletin of the institute of mathematics academia sinica new series
Language(s) - English
Resource type - Journals
eISSN - 2304-7909
pISSN - 2304-7895
DOI - 10.21915/bimas.2021101
Subject(s) - mathematics , differential equation , mathematical analysis , boundary value problem , fractional calculus
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 ψ–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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