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

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 co...

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Main Authors: Norhayati, Rosli, Turab, Ali
Format: Article
Language:English
Published: MDPI 2022
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Online Access:http://umpir.ump.edu.my/id/eprint/35693/1/mathematics-10-04222.pdf
http://umpir.ump.edu.my/id/eprint/35693/
https://doi.org/10.3390/math10224222
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spelling my.ump.umpir.356932022-11-15T03:08:23Z http://umpir.ump.edu.my/id/eprint/35693/ Study of Fractional Differential Equations Emerging in the Theory of Chemical Graphs: A Robust Approach Norhayati, Rosli Turab, Ali QA Mathematics 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. MDPI 2022-11-11 Article PeerReviewed pdf en cc_by_4 http://umpir.ump.edu.my/id/eprint/35693/1/mathematics-10-04222.pdf 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 https://doi.org/10.3390/math10224222
institution Universiti Malaysia Pahang
building UMP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Pahang
content_source UMP Institutional Repository
url_provider http://umpir.ump.edu.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Norhayati, Rosli
Turab, Ali
Study of Fractional Differential Equations Emerging in the Theory of Chemical Graphs: A Robust Approach
description 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.
format Article
author Norhayati, Rosli
Turab, Ali
author_facet Norhayati, Rosli
Turab, Ali
author_sort Norhayati, Rosli
title Study of Fractional Differential Equations Emerging in the Theory of Chemical Graphs: A Robust Approach
title_short Study of Fractional Differential Equations Emerging in the Theory of Chemical Graphs: A Robust Approach
title_full Study of Fractional Differential Equations Emerging in the Theory of Chemical Graphs: A Robust Approach
title_fullStr Study of Fractional Differential Equations Emerging in the Theory of Chemical Graphs: A Robust Approach
title_full_unstemmed Study of Fractional Differential Equations Emerging in the Theory of Chemical Graphs: A Robust Approach
title_sort study of fractional differential equations emerging in the theory of chemical graphs: a robust approach
publisher MDPI
publishDate 2022
url http://umpir.ump.edu.my/id/eprint/35693/1/mathematics-10-04222.pdf
http://umpir.ump.edu.my/id/eprint/35693/
https://doi.org/10.3390/math10224222
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score 13.211869