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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| Format: | Article |
| Language: | English |
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MDPI
2022
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| Online Access: | http://umpir.ump.edu.my/id/eprint/35693/ http://umpir.ump.edu.my/id/eprint/35693/1/mathematics-10-04222.pdf |
| _version_ | 1848824846219214848 |
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| author | Norhayati, Rosli Turab, Ali |
| author_facet | Norhayati, Rosli Turab, Ali |
| author_sort | Norhayati, Rosli |
| building | UMP Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T03:19:31Z |
| format | Article |
| id | ump-35693 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T03:19:31Z |
| publishDate | 2022 |
| publisher | MDPI |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-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. (Published) https://doi.org/10.3390/math10224222 |
| spellingShingle | QA Mathematics Norhayati, Rosli Turab, Ali Study of Fractional Differential Equations Emerging in the Theory of Chemical Graphs: A Robust Approach |
| title | 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_short | 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 |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/35693/ http://umpir.ump.edu.my/id/eprint/35693/ http://umpir.ump.edu.my/id/eprint/35693/1/mathematics-10-04222.pdf |