On solution of a system of differential equations via fixed point theorem
- Authors
- Nazam, Muhammad; Arshad, Muhammad; Park, Choonkil; Acar, Özlem; Yun, Sungsik; Anastassiou, George A.
- Issue Date
- Sep-2019
- Publisher
- Eudoxus Press, LLC
- Keywords
- Complete partial b-metric space; Differential equation; Generalized geraghty type contraction mapping; Well posed
- Citation
- Journal of Computational Analysis and Applications, v.27, no.3, pp.417 - 426
- Indexed
- SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 27
- Number
- 3
- Start Page
- 417
- End Page
- 426
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/147170
- ISSN
- 1521-1398
- Abstract
- The purpose of the present paper is to study the existence of solution of a system of differential equations using fixed point technique. In this regard, in the first part of this article, along with some properties of partial b-metric topology, we prove a common fixed point theorem for generalized Geraghty type contraction mappings in a complete partial b-metric spaces. Then in second part we apply this result to show the existence of the solution of a system of ordinary differential equations.
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