Work

New attitude on sequential Ψ-Caputo differential equations via concept of measures of noncompactness

Year: 2024

Type: article

Abstract: In this paper, we have explored the existence and uniqueness of solutions for a pair of nonlinear fractional integro-differential equations comprising of the Ψ-Caputo fractional derivative and the Ψ-Riemann–Liouville fractional integral. These equations are subject to nonlocal boundary conditions and a variable coefficient. Our findings are drawn upon the Mittage–Leffler function, Babenko’s attitude, and topological degree theory for condensing maps and the Banach contraction principle. To further elucidate our principal outcomes, we have presented two illustrative examples.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-024-03188-0

Authors: Bahram Agheli, Rahmat Darzi

Institutions: Qaemshahr Islamic Azad University, Islamic Azad University, Tehran

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,990

OpenAlex ID: W4402275539