A study of symmetric contractions with an application to generalized fractional differential equations

Advances in Difference Equations

Fahd Jarad¹  Aftab Hussain²  Erdal Karapinar³ 

[1] Department of Mathematics, Cankaya University, Mimar Sinan Caddesi, 06790, Ankara, Turkey;Department of Mathematics, King Abdulaziz University, P.O. Box 80203, 21589, Jeddah, Saudi Arabia;Division of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, Vietnam;Department of Mathematics, Cankaya University, Mimar Sinan Caddesi, 06790, Ankara, Turkey;Department of Medical Research, China Medical University Hospital, China Medical University, Hsueh-Shih Road, 40402, Taichung, Taiwan;

关键词: Boundary value problem;    Generalized fractional derivative;    Fixed point;    Measure of noncompactness;   

DOI  :  10.1186/s13662-021-03456-z

来源: Springer

【 摘 要 】

This article proposes four distinct kinds of symmetric contraction in the framework of complete F-metric spaces. We examine the condition to guarantee the existence and uniqueness of a fixed point for these contractions. As an application, we look for the solutions to fractional boundary value problems involving a generalized fractional derivative known as the fractional derivative with respect to another function.

【 授权许可】

CC BY