Work

Some novel existence and stability results for a nonlinear implicit fractional differential equation with non-local boundary conditions

Year: 2025

Type: article

Abstract: This paper investigates nonlinear implicit fractional differential equations involving Hilfer-Katugampola fractional derivatives . Novel techniques are developed to establish the existence and uniqueness of solutions for the proposed problem using fixed-point theorems. Additionally, Hyers-Ulam stability and generalized Hyers-Ulam stability are analyzed, and an example is provided to validate the theoretical results.

Source: Partial Differential Equations in Applied Mathematics

DOI: 10.1016/j.padiff.2025.101132

Authors: Rahman Ullah Khan, Ioan-Lucian Popa

Institutions: Quaid-i-Azam University, Transylvania University of Brașov, 1 Decembrie 1918 University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,470

OpenAlex ID: W4407854842

FWCI: 1.87

Cites: 40

Cited by: 1

Related to: 10