Blow-Up Solutions for a Singular Nonlinear Hadamard Fractional Boundary Value Problem

We consider singular nonlinear Hadamard fractional boundary value problems. Using properties of Green’s function and a fixed point theorem, we show that the problem has positive solutions which blow up. Finally, some examples are provided to explain the applications of the results.

Bibliographic Details
Main Authors: Imed Bachar, Said Mesloub
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/6268427
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spelling doaj-7dc46f374de74a4aa479255e3ca65c2d2020-11-25T04:02:45ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/62684276268427Blow-Up Solutions for a Singular Nonlinear Hadamard Fractional Boundary Value ProblemImed Bachar0Said Mesloub1Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaMathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaWe consider singular nonlinear Hadamard fractional boundary value problems. Using properties of Green’s function and a fixed point theorem, we show that the problem has positive solutions which blow up. Finally, some examples are provided to explain the applications of the results.http://dx.doi.org/10.1155/2020/6268427
collection DOAJ
language English
format Article
sources DOAJ
author Imed Bachar
Said Mesloub
spellingShingle Imed Bachar
Said Mesloub
Blow-Up Solutions for a Singular Nonlinear Hadamard Fractional Boundary Value Problem
Journal of Function Spaces
author_facet Imed Bachar
Said Mesloub
author_sort Imed Bachar
title Blow-Up Solutions for a Singular Nonlinear Hadamard Fractional Boundary Value Problem
title_short Blow-Up Solutions for a Singular Nonlinear Hadamard Fractional Boundary Value Problem
title_full Blow-Up Solutions for a Singular Nonlinear Hadamard Fractional Boundary Value Problem
title_fullStr Blow-Up Solutions for a Singular Nonlinear Hadamard Fractional Boundary Value Problem
title_full_unstemmed Blow-Up Solutions for a Singular Nonlinear Hadamard Fractional Boundary Value Problem
title_sort blow-up solutions for a singular nonlinear hadamard fractional boundary value problem
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2020-01-01
description We consider singular nonlinear Hadamard fractional boundary value problems. Using properties of Green’s function and a fixed point theorem, we show that the problem has positive solutions which blow up. Finally, some examples are provided to explain the applications of the results.
url http://dx.doi.org/10.1155/2020/6268427
work_keys_str_mv AT imedbachar blowupsolutionsforasingularnonlinearhadamardfractionalboundaryvalueproblem
AT saidmesloub blowupsolutionsforasingularnonlinearhadamardfractionalboundaryvalueproblem
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