Solvability of a generalized $\pmb{\psi}$-Riemann-Liouville fractional BVP under nonlocal boundary conditions

Research

Title	Solvability of a generalized $\pmb{\psi}$-Riemann-Liouville fractional BVP under nonlocal boundary conditions
Type	JournalPaper
Keywords	$\psi$-Riemann-Liouville fractional differential equation, existence and uniqueness, Banach contraction principle, Boyd-Wong contraction principle, Rus's contraction principle
Year	2024
Journal	MATHEMATICS AND COMPUTERS IN SIMULATION
DOI
Researchers	Faouzi Haddouchi ، Mohammad Esmael Samei

Abstract

In this paper we consider a class of nonlinear BVP involving fractional derivative in the $\psi$-Riemann-Liouville sense with nonlocal boundary conditions. By means of some properties of the Green's function and fixed point theorems due to Banach, Boyd-Wong, and Rus, existence of a unique solution is obtained. We have some examples that prove the theory is true.

Mohammad Esmael Samei

Research

Abstract