Positive solutions for Hadamard differential systems with fractional integral conditions on an unbounded domain

In this paper, we investigate the existence of positive solutions for Hadamard type fractional differential system with coupled nonlocal fractional integral boundary conditions on an infinite domain. Our analysis relies on Guo-Krasnoselskii’s and Leggett-Williams fixed point theorems. The obtained r...

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Main Authors: Jessada Tariboon, Ntouyas Sotiris K., Asawasamrit Suphawat, Promsakon Chanon
Format: Article
Language:English
Published: De Gruyter 2017-05-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2017-0057
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author Jessada Tariboon
Ntouyas Sotiris K.
Asawasamrit Suphawat
Promsakon Chanon
author_facet Jessada Tariboon
Ntouyas Sotiris K.
Asawasamrit Suphawat
Promsakon Chanon
author_sort Jessada Tariboon
collection DOAJ
description In this paper, we investigate the existence of positive solutions for Hadamard type fractional differential system with coupled nonlocal fractional integral boundary conditions on an infinite domain. Our analysis relies on Guo-Krasnoselskii’s and Leggett-Williams fixed point theorems. The obtained results are well illustrated with the aid of examples.
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spelling doaj.art-f936d5ce66584ad5b537809b1916d35b2022-12-21T21:49:06ZengDe GruyterOpen Mathematics2391-54552017-05-0115164566610.1515/math-2017-0057math-2017-0057Positive solutions for Hadamard differential systems with fractional integral conditions on an unbounded domainJessada Tariboon0Ntouyas Sotiris K.1Asawasamrit Suphawat2Promsakon Chanon3Nonlinear Dynamic Analysis Research Center. Department of Mathematics. Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok10800, ThailandDepartment of Mathematics, University of Ioannina, 451 10 Ioannina, Ioannina, GreeceNonlinear Dynamic Analysis Research Center. Department of Mathematics. Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok10800, ThailandNonlinear Dynamic Analysis Research Center. Department of Mathematics. Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok10800, ThailandIn this paper, we investigate the existence of positive solutions for Hadamard type fractional differential system with coupled nonlocal fractional integral boundary conditions on an infinite domain. Our analysis relies on Guo-Krasnoselskii’s and Leggett-Williams fixed point theorems. The obtained results are well illustrated with the aid of examples.https://doi.org/10.1515/math-2017-0057hadamard fractional differential systemsnonlocal boundary conditionshadamard fractional integral conditionspositive solutionsfixed point theorems 26a3334a0834b1834b40
spellingShingle Jessada Tariboon
Ntouyas Sotiris K.
Asawasamrit Suphawat
Promsakon Chanon
Positive solutions for Hadamard differential systems with fractional integral conditions on an unbounded domain
Open Mathematics
hadamard fractional differential systems
nonlocal boundary conditions
hadamard fractional integral conditions
positive solutions
fixed point theorems
26a33
34a08
34b18
34b40
title Positive solutions for Hadamard differential systems with fractional integral conditions on an unbounded domain
title_full Positive solutions for Hadamard differential systems with fractional integral conditions on an unbounded domain
title_fullStr Positive solutions for Hadamard differential systems with fractional integral conditions on an unbounded domain
title_full_unstemmed Positive solutions for Hadamard differential systems with fractional integral conditions on an unbounded domain
title_short Positive solutions for Hadamard differential systems with fractional integral conditions on an unbounded domain
title_sort positive solutions for hadamard differential systems with fractional integral conditions on an unbounded domain
topic hadamard fractional differential systems
nonlocal boundary conditions
hadamard fractional integral conditions
positive solutions
fixed point theorems
26a33
34a08
34b18
34b40
url https://doi.org/10.1515/math-2017-0057
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AT asawasamritsuphawat positivesolutionsforhadamarddifferentialsystemswithfractionalintegralconditionsonanunboundeddomain
AT promsakonchanon positivesolutionsforhadamarddifferentialsystemswithfractionalintegralconditionsonanunboundeddomain