Work

Existence and Stability of Implicit Fractional Differential Equations Involving the p-Laplacian Operator and Their Applications

Year: 2024

Type: article

Abstract: The main objective of this paper is to establish the existence, uniqueness, and stability of implicit fractional differential equations involving a p-Laplacian operator, utilizing the Caputo-Katugampola fractional derivative. A novel approach is employed to examine the existence and uniqueness of solutions to the problem through fixed-point theorems. These results are original and extend several existing findings in the literature. Finally, an application is provided to illustrate the theoretical results.

Source: Physica Scripta

DOI: 10.1088/1402-4896/ada3a7

Authors: Rahman Ullah Ullah Khan, Maria Samreen, Gohar Ali, Ioan-Lucian Popa

Institutions: Quaid-i-Azam University, Islamia College University, Transylvania University of Brașov

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,285

OpenAlex ID: W4405841532

FWCI: 1.562

Cites:

Cited by: 2

Related to: 10