Abstract

Chemical graph theory is a field of mathematics that studies ramifications of chemical network interactions. Using the concept of star graphs, several investigators have looked into the solutions to certain boundary value problems. Their choice to utilize star graphs was based on including a common point connected to other nodes. Our aim is to expand the range of the method by incorporating the graph of hexasilinane compound, which has a chemical formula H12Si6. In this paper, we examine the existence of solutions to fractional boundary value problems on such graphs, where the fractional derivative is in the Caputo sense. Finally, we include an example to support our significant findings.

Details

Title
Existence of solutions for a class of nonlinear boundary value problems on the hexasilinane graph
Author
Ali, Turab 1 ; Mitrović, Zoran D 2 ; Savić Ana 3 

1  Thammasat University Rangsit Center, Department of Mathematics and Statistics, Faculty of Science and Technology, Pathum Thani, Thailand (GRID:grid.412434.4) (ISNI:0000 0004 1937 1127) 
2  University of Banja Luka, Faculty of Electrical Engineering, Banja Luka, Bosnia and Herzegovina (GRID:grid.35306.33) (ISNI:0000 0000 9971 9023) 
3  Academy of Technical and Art Applied Studies, School of Electrical and Computer Engineering of Applied Studies, Belgrade, Serbia (GRID:grid.35306.33) 
Publication year
2021
Publication date
Dec 2021
Publisher
Springer Nature B.V.
ISSN
1687-1839
e-ISSN
1687-1847
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1186/s13662-021-03653-w
ProQuest document ID
2597363840
Copyright
© The Author(s) 2021. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.