Work

On the Cauchy Problem for Nonlinear Fractional Systems with Lipschitzian Matrices Under the Generalized Metric Spaces

Year: 2024

Type: article

Abstract: This research paper study the existence, uniqueness and Ulam–Hyers stability of the solutions of a certain system of thegeneralized Caputo fractional differential equations in the context of the generalized metric spaces. The existence and uniqueness theorems are proved by using the Krasnoselskii’s and Perov’s fixed point theorems under the Bielecki norm with a Lipschitzian matrix in the generalized metric spaces. Moreover, the Ulam–Hyers stability analysis is conducted based on the Urs’s criterion. An example, lastly, is proposed to check the efficiency of the above-mentioned theorems. The results are novel and provide extensions to some of the findings known in the literature.

Source: Qualitative Theory of Dynamical Systems

DOI: 10.1007/s12346-024-01127-4

Authors: Abdelatif Boutiara, Sotiris K. Ntouyas, Taghreed A. Assiri, Jessada Tariboon, Emad E. Mahmoud

Institutions: University of Ghardaia, University of Ioannina, Umm al-Qura University, King Mongkut's University of Technology North Bangkok, Taif University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Taif University, King Mongkut's University of Technology North Bangkok