On solution of non-linear FDE under tempered Ψ−Caputo derivative for the first-order and three-point boundary conditions

Authors

DOI:

https://doi.org/10.31489/2024m4/41-56

Keywords:

fractional differential equations, tempered Ψ−Caputo derivative, nonlinear analysis, Schaefer’s fixed point theorem, Banach contraction

Abstract

In this article, the existence and uniqueness of solutions for non-linear fractional differential equation with Tempered Ψ−Caputo derivative with three-point boundary conditions were studied. The existence and uniqueness of the solution were proved by applying the Banach contraction mapping principle and Schaefer’s fixed point theorem.

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Published

2024-12-30

How to Cite

Bensassa, K., Benbachir, M., Samei, M., & Salahshour, S. (2024). On solution of non-linear FDE under tempered Ψ−Caputo derivative for the first-order and three-point boundary conditions. Bulletin of the Karaganda University. Mathematics Series, 116(4), 41–56. https://doi.org/10.31489/2024m4/41-56

Issue

2024 (116) 4

Section

MATHEMATICS