On a new fixed point theorem with an application on a coupled system of fractional differential equations

Advances in Difference Equations

Thabet Abdeljawad¹  Hojjat Afshari²  Fahd Jarad³ 

[1] Department of Mathematics and General Sciences, Prince Sultan University;Department of Mathematics, Faculty of Basic Science, University of Bonab;Department of Mathematics, Çankaya University;

关键词: Fractional differential equation;    Common fixed point;    ρ ∗ $\rho _{*}$ -admissible;    Coupled system;   

DOI  :  10.1186/s13662-020-02926-0

来源: DOAJ

【 摘 要 】

Abstract In this work, new theorems and results related to fixed point theory are presented. The results obtained are used for the sake of proving the existence and uniqueness of a positive solution of a coupled system of equations that involves fractional derivatives in the Riemann–Liouville settings and is subject to boundary conditions in the form of integrals.

【 授权许可】

Unknown