Work

Nonlinear nonlocal $ \psi $ -Caputo fractional integro-differential equations of Sobolev type

Year: 2024

Type: article

Abstract: In this paper, we investigate the nonlocal Cauchy problem for a class of nonlinear fractional $ \psi $-Caputo integro-differential equations of Sobolev type in Banach spaces. We first establish some new Darbo-type fixed point theorems, and then we present a solvability theorem for the nonlocal Cauchy problem for such nonlinear fractional equations of Sobolev type with the help of the new Darbo-type fixed point theorems. Moreover, we illustrate the applicability of our theoretical results with two examples.

Source: Discrete and Continuous Dynamical Systems - S

DOI: 10.3934/dcdss.2024205

Authors: Jin Liang, Yunyi Mu, Ti-Jun Xiao

Institutions: Shanghai Dianji University, Fudan University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404612760

FWCI: 2.295

Cites: 40

Cited by: 3

Related to: 10