Stability of Singular Fractional Systems of Nonlinear Integro-Differential Equations
- Authors: Taïeb A.1
-
Affiliations:
- LPAM, Faculty ST
- Issue: Vol 40, No 2 (2019)
- Pages: 219-229
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/203995
- DOI: https://doi.org/10.1134/S1995080219020148
- ID: 203995
Cite item
Abstract
In this paper, we study singular fractional systems of nonlinear integro-differential equations. We investigate the existence and uniqueness of solutions by means of Schauder fixed point theorem and using the contraction mapping principle. Moreover, we define and study the Ulam-Hyers stability and the generalized Ulam-Hyers stability of solutions. Some applications are presented to illustrate the main results.
About the authors
Amele Taïeb
LPAM, Faculty ST
Author for correspondence.
Email: taieb5555@yahoo.com
Algeria, Mostaganem