Existence of Solutions for Fractional Boundary Value Problems with a Quadratic Growth of Fractional Derivative
In this paper, we deal with two fractional boundary value problems which have linear growth and quadratic growth about the fractional derivative in the nonlinearity term. By using variational methods coupled with the iterative methods, we obtain the existence results of solutions. To the best of the...
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Series: | Journal of Function Spaces |
Online Access: | http://dx.doi.org/10.1155/2020/7139795 |
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doaj-43e000d673314d6da7a36c3e0b5b7c282020-11-25T03:50:10ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/71397957139795Existence of Solutions for Fractional Boundary Value Problems with a Quadratic Growth of Fractional DerivativeYaning Li0Quanguo Zhang1Baoyan Sun2College of Mathematics & Statistics, Nanjing University of Information Science & Technology, Nanjing, Jiangsu 210044, ChinaDepartment of Mathematics, Luoyang Normal University, Luoyang, Henan 471022, ChinaSchool of Mathematics and Information Sciences, Yantai University, Yantai, Shandong 264005, ChinaIn this paper, we deal with two fractional boundary value problems which have linear growth and quadratic growth about the fractional derivative in the nonlinearity term. By using variational methods coupled with the iterative methods, we obtain the existence results of solutions. To the best of the authors’ knowledge, there are no results on the solutions to the fractional boundary problem which have quadratic growth about the fractional derivative in the nonlinearity term.http://dx.doi.org/10.1155/2020/7139795 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yaning Li Quanguo Zhang Baoyan Sun |
spellingShingle |
Yaning Li Quanguo Zhang Baoyan Sun Existence of Solutions for Fractional Boundary Value Problems with a Quadratic Growth of Fractional Derivative Journal of Function Spaces |
author_facet |
Yaning Li Quanguo Zhang Baoyan Sun |
author_sort |
Yaning Li |
title |
Existence of Solutions for Fractional Boundary Value Problems with a Quadratic Growth of Fractional Derivative |
title_short |
Existence of Solutions for Fractional Boundary Value Problems with a Quadratic Growth of Fractional Derivative |
title_full |
Existence of Solutions for Fractional Boundary Value Problems with a Quadratic Growth of Fractional Derivative |
title_fullStr |
Existence of Solutions for Fractional Boundary Value Problems with a Quadratic Growth of Fractional Derivative |
title_full_unstemmed |
Existence of Solutions for Fractional Boundary Value Problems with a Quadratic Growth of Fractional Derivative |
title_sort |
existence of solutions for fractional boundary value problems with a quadratic growth of fractional derivative |
publisher |
Hindawi Limited |
series |
Journal of Function Spaces |
issn |
2314-8896 2314-8888 |
publishDate |
2020-01-01 |
description |
In this paper, we deal with two fractional boundary value problems which have linear growth and quadratic growth about the fractional derivative in the nonlinearity term. By using variational methods coupled with the iterative methods, we obtain the existence results of solutions. To the best of the authors’ knowledge, there are no results on the solutions to the fractional boundary problem which have quadratic growth about the fractional derivative in the nonlinearity term. |
url |
http://dx.doi.org/10.1155/2020/7139795 |
work_keys_str_mv |
AT yaningli existenceofsolutionsforfractionalboundaryvalueproblemswithaquadraticgrowthoffractionalderivative AT quanguozhang existenceofsolutionsforfractionalboundaryvalueproblemswithaquadraticgrowthoffractionalderivative AT baoyansun existenceofsolutionsforfractionalboundaryvalueproblemswithaquadraticgrowthoffractionalderivative |
_version_ |
1715106928785358848 |