Work

An analysis of nonlinear integro-differential equations with four-point nonlocal BVP using Ψ-Caputo fractional derivative

Year: 2025

Type: article

Abstract: This study establishes the existence and uniqueness of solutions for a nonlocal BVP of fractional order $1 < \zeta \leq 2$ , characterized by four-point boundary conditions and nonlinear integro-differential equations. The approach utilizes standard nonlinear theorems, which are instrumental in validating the existence of solutions across diverse mathematical and physical contexts. To illustrate the practical implications of the analytical results, a detailed example is presented, showcasing the applicability and effectiveness of the developed framework in solving complex boundary value problems.

Source: Boundary Value Problems

DOI: 10.1186/s13661-025-02121-8

Authors: R. Poovarasan, Mohammad Esmael Samei, V. Govindaraj

Institutions: National Institute of Technology, Puducherry, Bu-Ali Sina University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,890

OpenAlex ID: W4413806798

FWCI: 9.348

Cites: 39

Cited by: 5

Related to: 10