Study of Fractional Differential Equations Emerging in the Theory of Chemical Graphs: A Robust Approach

Norhayati, Rosli and Turab, Ali (2022) Study of Fractional Differential Equations Emerging in the Theory of Chemical Graphs: A Robust Approach. Mathematics, 10 (22). pp. 1-16. ISSN 2227-7390. (Published)

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Abstract

The study of the interconnections between chemical systems is known as chemical graph theory. Through the use of star graphs, a limited group of researchers has examined the space of possible solutions for boundary-value problems. They recognized that for their strategy to function, they needed a core node related to other nodes but not to itself; as a result, they opted to use star graphs. In this sense, the graphs of neopentane will be helpful in extending the scope of our technique. It has the CAS number 463-82-1 and the chemical formula C5H12, and it is a component of a petrochemical precursor. In order to determine whether or not the suggested boundary-value problems on these graphs have any known solutions, we use the theorems developed by Schaefer and Krasnoselskii on fixed points. In addition, we illustrate our preliminary results with the help of an example that we present.

Item Type: Article
Uncontrolled Keywords: fractional calculus; chemical graph theory; neopentane graph; fixed points
Subjects: Q Science > QA Mathematics
Faculty/Division: Center for Mathematical Science
Institute of Postgraduate Studies
Depositing User: Dr. Norhayati Rosli
Date Deposited: 15 Nov 2022 03:08
Last Modified: 15 Nov 2022 03:08
URI: http://umpir.ump.edu.my/id/eprint/35693
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