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.

Bibliographic Details
Main Authors: Xiaohui Shen, Tengfei Shen
Format: Article
Language:English
Published: SpringerOpen 2020-10-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-020-03015-y
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spelling 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
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