On the existence of solutions for fractional boundary value problems on the ethane graph

Advances in Difference Equations

article

Etemad, Sina¹  Rezapour, Shahram¹ 

[1] Department of Mathematics, Azarbaijan Shahid Madani University;Department of Medical Research, China Medical University Hospital, China Medical University

关键词: Boundary value problem;    Fractional differential equation;    Ethane graph;    Caputo derivative;   

DOI  :  10.1186/s13662-020-02736-4

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

A few researchers have studied fractional differential equations on star graphs. They use star graphs because their method needs a common point which has edges with other nodes while other nodes have no edges between themselves. It is natural that we feel that this method is incomplete. Our aim is extending the method on more generalized graphs. In this work, we investigate the existence of solutions for some fractional boundary value problems on the ethane graph. In this way, we consider a graph with labeled vertices by 0 or 1, inspired by a graph representation of the chemical compound of ethane, and define fractional differential equations on each edge of this graph. Also, we provide an example to illustrate our last main result.

【 授权许可】

CC BY