Existence of solutions for a class of nonlinear boundary value problems on the hexasilinane graph

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...

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Autores principales:	Ali Turab, Zoran D. Mitrović, Ana Savić
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Hexasilinane graph Fractional calculus Fixed points Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/efb6a0044c4d46179e74fff3551cd623
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spelling	oai:doaj.org-article:efb6a0044c4d46179e74fff3551cd6232021-11-21T12:06:50ZExistence of solutions for a class of nonlinear boundary value problems on the hexasilinane graph10.1186/s13662-021-03653-w1687-1847https://doaj.org/article/efb6a0044c4d46179e74fff3551cd6232021-11-01T00:00:00Zhttps://doi.org/10.1186/s13662-021-03653-whttps://doaj.org/toc/1687-1847Abstract 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 H 12 Si 6 $\mathrm{H}_{12} \mathrm{Si}_{6}$ . 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.Ali TurabZoran D. MitrovićAna SavićSpringerOpenarticleHexasilinane graphFractional calculusFixed pointsMathematicsQA1-939ENAdvances in Difference Equations, Vol 2021, Iss 1, Pp 1-20 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Hexasilinane graph Fractional calculus Fixed points Mathematics QA1-939
spellingShingle	Hexasilinane graph Fractional calculus Fixed points Mathematics QA1-939 Ali Turab Zoran D. Mitrović Ana Savić Existence of solutions for a class of nonlinear boundary value problems on the hexasilinane graph
description	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 H 12 Si 6 $\mathrm{H}_{12} \mathrm{Si}_{6}$ . 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.
format	article
author	Ali Turab Zoran D. Mitrović Ana Savić
author_facet	Ali Turab Zoran D. Mitrović Ana Savić
author_sort	Ali Turab
title	Existence of solutions for a class of nonlinear boundary value problems on the hexasilinane graph
title_short	Existence of solutions for a class of nonlinear boundary value problems on the hexasilinane graph
title_full	Existence of solutions for a class of nonlinear boundary value problems on the hexasilinane graph
title_fullStr	Existence of solutions for a class of nonlinear boundary value problems on the hexasilinane graph
title_full_unstemmed	Existence of solutions for a class of nonlinear boundary value problems on the hexasilinane graph
title_sort	existence of solutions for a class of nonlinear boundary value problems on the hexasilinane graph
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/efb6a0044c4d46179e74fff3551cd623
work_keys_str_mv	AT aliturab existenceofsolutionsforaclassofnonlinearboundaryvalueproblemsonthehexasilinanegraph AT zorandmitrovic existenceofsolutionsforaclassofnonlinearboundaryvalueproblemsonthehexasilinanegraph AT anasavic existenceofsolutionsforaclassofnonlinearboundaryvalueproblemsonthehexasilinanegraph
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Existence of solutions for a class of nonlinear boundary value problems on the hexasilinane graph

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