Positive Solutions to n-Order Fractional Differential Equation with Parameter

Positive Solutions to n-Order Fractional Differential Equation with Parameter

By employing the properties of the sum operators, we investigate the solutions of the n-order fractional differential equations multiple point boundary value problem (in short BVP) with the boundary conditions contains a parameter. We not only obtain the existence and uniqueness of solutions about t...

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Main Authors: Jing-jing Tan, Cong Tan, Xueling Zhou
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2018/3046713
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spelling doaj-425103c9f03d4cff9f10bc376c7dfca82020-11-24T21:04:44ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/30467133046713Positive Solutions to n-Order Fractional Differential Equation with ParameterJing-jing Tan0Cong Tan1Xueling Zhou2School of Mathematics and Information Science, Weifang University, Shandong 261061, ChinaShenyang Ligong University, Liaoning 110159, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao Shandong 266590, ChinaBy employing the properties of the sum operators, we investigate the solutions of the n-order fractional differential equations multiple point boundary value problem (in short BVP) with the boundary conditions contains a parameter. We not only obtain the existence and uniqueness of solutions about this BVP but also construct an iterative scheme to approximate the solution which is important for practical application. An example is given to demonstrate the validity of our main results.http://dx.doi.org/10.1155/2018/3046713
collection DOAJ
language English
format Article
sources DOAJ
author Jing-jing Tan
Cong Tan
Xueling Zhou
spellingShingle Jing-jing Tan
Cong Tan
Xueling Zhou
Positive Solutions to n-Order Fractional Differential Equation with Parameter
Journal of Function Spaces
author_facet Jing-jing Tan
Cong Tan
Xueling Zhou
author_sort Jing-jing Tan
title Positive Solutions to n-Order Fractional Differential Equation with Parameter
title_short Positive Solutions to n-Order Fractional Differential Equation with Parameter
title_full Positive Solutions to n-Order Fractional Differential Equation with Parameter
title_fullStr Positive Solutions to n-Order Fractional Differential Equation with Parameter
title_full_unstemmed Positive Solutions to n-Order Fractional Differential Equation with Parameter
title_sort positive solutions to n-order fractional differential equation with parameter
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2018-01-01
description By employing the properties of the sum operators, we investigate the solutions of the n-order fractional differential equations multiple point boundary value problem (in short BVP) with the boundary conditions contains a parameter. We not only obtain the existence and uniqueness of solutions about this BVP but also construct an iterative scheme to approximate the solution which is important for practical application. An example is given to demonstrate the validity of our main results.
url http://dx.doi.org/10.1155/2018/3046713
work_keys_str_mv AT jingjingtan positivesolutionstonorderfractionaldifferentialequationwithparameter
AT congtan positivesolutionstonorderfractionaldifferentialequationwithparameter
AT xuelingzhou positivesolutionstonorderfractionaldifferentialequationwithparameter
_version_ 1716769995475648512

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