Some Existence Results for a System of Nonlinear Fractional Differential Equations-Reference-Cited by-同舟云学术

Some Existence Results for a System of Nonlinear Fractional Differential Equations

Published:2020-11-19 Issue: Volume:2020 Page:1-17
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Ameer Eskandar¹,Aydi Hassen²³^ORCID,Işık Hüseyin⁴^ORCID,Nazam Muhammad⁵^ORCID,Parvaneh Vahid⁶^ORCID,Arshad Muhammad⁷^ORCID

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

Link

http://downloads.hindawi.com/journals/jmath/2020/4786053.pdf

Reference34 articles.

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