On the existence of solutions for fractional boundary value problems on the ethane graph
Abstract A few researchers have studied fractional differential equations on star graphs. They use star graphs because their method needs a common point which has edges with other nodes while other nodes have no edges between themselves. It is natural that we feel that this method is incomplete. Our...
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doaj-6be0d321628245838a1662d5f7776aa02020-11-25T03:37:39ZengSpringerOpenAdvances in Difference Equations1687-18472020-06-012020112010.1186/s13662-020-02736-4On the existence of solutions for fractional boundary value problems on the ethane graphSina Etemad0Shahram Rezapour1Department of Mathematics, Azarbaijan Shahid Madani UniversityDepartment of Mathematics, Azarbaijan Shahid Madani UniversityAbstract A few researchers have studied fractional differential equations on star graphs. They use star graphs because their method needs a common point which has edges with other nodes while other nodes have no edges between themselves. It is natural that we feel that this method is incomplete. Our aim is extending the method on more generalized graphs. In this work, we investigate the existence of solutions for some fractional boundary value problems on the ethane graph. In this way, we consider a graph with labeled vertices by 0 or 1, inspired by a graph representation of the chemical compound of ethane, and define fractional differential equations on each edge of this graph. Also, we provide an example to illustrate our last main result.http://link.springer.com/article/10.1186/s13662-020-02736-4Boundary value problemFractional differential equationEthane graphCaputo derivative |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Sina Etemad Shahram Rezapour |
spellingShingle |
Sina Etemad Shahram Rezapour On the existence of solutions for fractional boundary value problems on the ethane graph Advances in Difference Equations Boundary value problem Fractional differential equation Ethane graph Caputo derivative |
author_facet |
Sina Etemad Shahram Rezapour |
author_sort |
Sina Etemad |
title |
On the existence of solutions for fractional boundary value problems on the ethane graph |
title_short |
On the existence of solutions for fractional boundary value problems on the ethane graph |
title_full |
On the existence of solutions for fractional boundary value problems on the ethane graph |
title_fullStr |
On the existence of solutions for fractional boundary value problems on the ethane graph |
title_full_unstemmed |
On the existence of solutions for fractional boundary value problems on the ethane graph |
title_sort |
on the existence of solutions for fractional boundary value problems on the ethane graph |
publisher |
SpringerOpen |
series |
Advances in Difference Equations |
issn |
1687-1847 |
publishDate |
2020-06-01 |
description |
Abstract A few researchers have studied fractional differential equations on star graphs. They use star graphs because their method needs a common point which has edges with other nodes while other nodes have no edges between themselves. It is natural that we feel that this method is incomplete. Our aim is extending the method on more generalized graphs. In this work, we investigate the existence of solutions for some fractional boundary value problems on the ethane graph. In this way, we consider a graph with labeled vertices by 0 or 1, inspired by a graph representation of the chemical compound of ethane, and define fractional differential equations on each edge of this graph. Also, we provide an example to illustrate our last main result. |
topic |
Boundary value problem Fractional differential equation Ethane graph Caputo derivative |
url |
http://link.springer.com/article/10.1186/s13662-020-02736-4 |
work_keys_str_mv |
AT sinaetemad ontheexistenceofsolutionsforfractionalboundaryvalueproblemsontheethanegraph AT shahramrezapour ontheexistenceofsolutionsforfractionalboundaryvalueproblemsontheethanegraph |
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1724544654235402240 |