Existence of solutions for Erdélyi–Kober fractional integral boundary value problems with p ( t ) $p ( t )$ -Laplacian operator
Abstract This paper aims to consider the solvability for Erdélyi–Kober fractional integral boundary value problems with p ( t ) $p ( t )$ -Laplacian operator at resonance. By employing the coincidence degree method, some new results on the existence of solutions are acquired.
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2020-10-01
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Series: | Advances in Difference Equations |
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Online Access: | http://link.springer.com/article/10.1186/s13662-020-03015-y |
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doaj-37cf1997bb754e3394c0487ea6bf3c382020-11-25T03:56:16ZengSpringerOpenAdvances in Difference Equations1687-18472020-10-012020111510.1186/s13662-020-03015-yExistence of solutions for Erdélyi–Kober fractional integral boundary value problems with p ( t ) $p ( t )$ -Laplacian operatorXiaohui Shen0Tengfei Shen1School of Public Health, Xuzhou Medical UniversitySchool of Mathematics, China University of Mining and TechnologyAbstract This paper aims to consider the solvability for Erdélyi–Kober fractional integral boundary value problems with p ( t ) $p ( t )$ -Laplacian operator at resonance. By employing the coincidence degree method, some new results on the existence of solutions are acquired.http://link.springer.com/article/10.1186/s13662-020-03015-yFractional differential equationBoundary value problemp ( t ) $p ( t )$ -Laplacian operatorCoincidence degree method |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Xiaohui Shen Tengfei Shen |
spellingShingle |
Xiaohui Shen Tengfei Shen Existence of solutions for Erdélyi–Kober fractional integral boundary value problems with p ( t ) $p ( t )$ -Laplacian operator Advances in Difference Equations Fractional differential equation Boundary value problem p ( t ) $p ( t )$ -Laplacian operator Coincidence degree method |
author_facet |
Xiaohui Shen Tengfei Shen |
author_sort |
Xiaohui Shen |
title |
Existence of solutions for Erdélyi–Kober fractional integral boundary value problems with p ( t ) $p ( t )$ -Laplacian operator |
title_short |
Existence of solutions for Erdélyi–Kober fractional integral boundary value problems with p ( t ) $p ( t )$ -Laplacian operator |
title_full |
Existence of solutions for Erdélyi–Kober fractional integral boundary value problems with p ( t ) $p ( t )$ -Laplacian operator |
title_fullStr |
Existence of solutions for Erdélyi–Kober fractional integral boundary value problems with p ( t ) $p ( t )$ -Laplacian operator |
title_full_unstemmed |
Existence of solutions for Erdélyi–Kober fractional integral boundary value problems with p ( t ) $p ( t )$ -Laplacian operator |
title_sort |
existence of solutions for erdélyi–kober fractional integral boundary value problems with p ( t ) $p ( t )$ -laplacian operator |
publisher |
SpringerOpen |
series |
Advances in Difference Equations |
issn |
1687-1847 |
publishDate |
2020-10-01 |
description |
Abstract This paper aims to consider the solvability for Erdélyi–Kober fractional integral boundary value problems with p ( t ) $p ( t )$ -Laplacian operator at resonance. By employing the coincidence degree method, some new results on the existence of solutions are acquired. |
topic |
Fractional differential equation Boundary value problem p ( t ) $p ( t )$ -Laplacian operator Coincidence degree method |
url |
http://link.springer.com/article/10.1186/s13662-020-03015-y |
work_keys_str_mv |
AT xiaohuishen existenceofsolutionsforerdelyikoberfractionalintegralboundaryvalueproblemswithptptlaplacianoperator AT tengfeishen existenceofsolutionsforerdelyikoberfractionalintegralboundaryvalueproblemswithptptlaplacianoperator |
_version_ |
1724465995985190912 |