On the novel existence results of solutions for a class of fractional boundary value problems on the cyclohexane graph

Journal of Inequalities and Applications

Ali Turab¹  Juan J. Nieto²  Wajahat Ali³ 

[1] Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center;Instituto de Matemáticas, Universidade de Santiago de Compostela;School of Science, Nanjing University of Science and Technology;

关键词: Cyclohexane graph;    Fractional calculus;    Fixed points;   

DOI  :  10.1186/s13660-021-02742-4

来源: DOAJ

【 摘 要 】

Abstract A branch of mathematical science known as chemical graph theory investigates the implications of connectedness in chemical networks. A few researchers have looked at the solutions of fractional differential equations using the concept of star graphs. Their decision to use star graphs was based on the assumption that their method requires a common point linked to other nodes but not to each other. Our goal is to broaden the scope of the method by defining the idea of a cyclohexane graph, which is a cycloalkane with the molecular formula C 6 H 12 $C_{6}H_{12}$ and CAS number 110-82-7. It consists of a ring of six carbon atoms, each bonded with two hydrogen atoms above and below the plane with multiple junction nodes. This article examines the existence of fractional boundary value problem’ solutions on such graphs in the sense of the Caputo fractional derivative by using the well-known fixed point theorems. In addition, an example is given to support our key findings.

【 授权许可】

Unknown