Mixed nonlocal boundary value problem for implicit fractional differential equation involving both retarded and advanced arguments

Author(s):

Nedjemeddine Derdar *

Message:
Article Type:
Review Article (دارای رتبه معتبر)
Abstract:

In this paper, we investigate the existence and uniqueness of solutions for nonlinear implicit Hilfer-Hadamard fractional differential equations involving both retarded and advanced arguments and nonlocal mixed boundary conditions. We also use the Banach contraction mapping principle and Schaefer’s fixed point theorem to show the existence and uniqueness of solutions. The results obtained here extend the work of Benchohra et al. [10] and Haoues et al. [18]. An example is also
given to illustrate the results.

Keywords:

Hilfer–Hadamard fractional derivative , Implicit fractional differential equations , retarded argument , advanced argument , Fixed point theorems , Existence , uniqueness

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:13 Issue: 2, Summer-Autumn 2022
Pages:
2697 to 2708
https://www.magiran.com/p2465243