Some Existence Results for a System of Nonlinear Fractional Differential Equations

Author:

Ameer Eskandar1,Aydi Hassen23ORCID,Işık Hüseyin4ORCID,Nazam Muhammad5ORCID,Parvaneh Vahid6ORCID,Arshad Muhammad7ORCID

Affiliation:

1. Department of Mathematics, Taiz University, Taiz, Yemen

2. Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia

3. China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

4. Department of Mathematics, Muş Alparslan University, Muş 49250, Turkey

5. Department of Mathematics, Allama Iqbal Open University, H-8, Islamabad, Pakistan

6. Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran

7. Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan

Abstract

In this paper, we show that a sequence satisfying a Suzuki-type JS-rational contraction or a generalized Suzuki-type Ćirić JS-contraction, under some conditions, is a Cauchy sequence. This paper presents some common fixed point theorems and an application to resolve a system of nonlinear fractional differential equations. Some examples and consequences are also given.

Publisher

Hindawi Limited

Subject

General Mathematics

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