Work

Existence and uniqueness theorems for nonlinear coupled boundary value problem of the A B C fractional differential equation

Year: 2024

Type: article

Abstract: ‎In this paper‎, ‎we study existence and uniqueness of solutions for a new systems of nonlinear coupled boundary value problem of the \(\mathcal{ABC}\) fractional differential equation‎. ‎By applying the Banach's‎ ‎fixed point theorem and Krasnoselskii's fixed point theorem‎, ‎the existence of solutions is obtained‎. ‎Further‎, ‎the provided problem Ulam-Hyers (\(\mathcal{UH}\)) and generalized Ulam-Hyers (\(\mathcal{GUH}\)) stability are both investigated‎. ‎The result obtained in this work are well illustrated with the aid of examples‎.

Source: Journal of Mathematics and Computer Science

DOI: 10.22436/jmcs.037.03.04

Authors: G. Janardhanan, G. Mani, D. Santina, N. Mlaiki

Institutions: Saveetha University, Prince Sultan University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Prince Sultan University

OpenAlex ID: W4403145293

FWCI: 2.295

Cites:

Cited by: 3

Related to: 10