Positive solutions of singular Hadamard-type fractional differential equations with infinite-point boundary conditions or integral boundary conditions

Positive solutions of singular Hadamard-type fractional differential equations with infinite-point boundary conditions or integral boundary conditions

Abstract We establish the existence of positive solutions to a class of a singular nonlinear Hadamard-type fractional differential equations with infinite-point boundary conditions (BCs) or integral BCs. Our analysis is based on Leray–Schauder type continuation. Several examples are given to illustr...

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Bibliographic Details
Main Authors: A. M. A. El-Sayed, F. M. Gaafar
Format: Article
Language:English
Published: SpringerOpen 2019-09-01
Series:Advances in Difference Equations
Subjects:
Singular fractional differential equations
Hadamard fractional derivative
Multiple positive solutions
Infinite-point boundary conditions
Integral boundary condition
Deviated argument
Online Access:http://link.springer.com/article/10.1186/s13662-019-2315-x
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spelling doaj-2503d607130946e789bd7dd6fa72cba82020-11-25T03:32:46ZengSpringerOpenAdvances in Difference Equations1687-18472019-09-012019112610.1186/s13662-019-2315-xPositive solutions of singular Hadamard-type fractional differential equations with infinite-point boundary conditions or integral boundary conditionsA. M. A. El-Sayed0F. M. Gaafar1Department of Mathematics, Faculty of Science, Alexandria UniversityDepartment of Mathematics, Faculty of Science, Damanhour UniversityAbstract We establish the existence of positive solutions to a class of a singular nonlinear Hadamard-type fractional differential equations with infinite-point boundary conditions (BCs) or integral BCs. Our analysis is based on Leray–Schauder type continuation. Several examples are given to illustrate our results.http://link.springer.com/article/10.1186/s13662-019-2315-xSingular fractional differential equationsHadamard fractional derivativeMultiple positive solutionsInfinite-point boundary conditionsIntegral boundary conditionDeviated argument
collection DOAJ
language English
format Article
sources DOAJ
author A. M. A. El-Sayed
F. M. Gaafar
spellingShingle A. M. A. El-Sayed
F. M. Gaafar
Positive solutions of singular Hadamard-type fractional differential equations with infinite-point boundary conditions or integral boundary conditions
Advances in Difference Equations
Singular fractional differential equations
Hadamard fractional derivative
Multiple positive solutions
Infinite-point boundary conditions
Integral boundary condition
Deviated argument
author_facet A. M. A. El-Sayed
F. M. Gaafar
author_sort A. M. A. El-Sayed
title Positive solutions of singular Hadamard-type fractional differential equations with infinite-point boundary conditions or integral boundary conditions
title_short Positive solutions of singular Hadamard-type fractional differential equations with infinite-point boundary conditions or integral boundary conditions
title_full Positive solutions of singular Hadamard-type fractional differential equations with infinite-point boundary conditions or integral boundary conditions
title_fullStr Positive solutions of singular Hadamard-type fractional differential equations with infinite-point boundary conditions or integral boundary conditions
title_full_unstemmed Positive solutions of singular Hadamard-type fractional differential equations with infinite-point boundary conditions or integral boundary conditions
title_sort positive solutions of singular hadamard-type fractional differential equations with infinite-point boundary conditions or integral boundary conditions
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2019-09-01
description Abstract We establish the existence of positive solutions to a class of a singular nonlinear Hadamard-type fractional differential equations with infinite-point boundary conditions (BCs) or integral BCs. Our analysis is based on Leray–Schauder type continuation. Several examples are given to illustrate our results.
topic Singular fractional differential equations
Hadamard fractional derivative
Multiple positive solutions
Infinite-point boundary conditions
Integral boundary condition
Deviated argument
url http://link.springer.com/article/10.1186/s13662-019-2315-x
work_keys_str_mv AT amaelsayed positivesolutionsofsingularhadamardtypefractionaldifferentialequationswithinfinitepointboundaryconditionsorintegralboundaryconditions
AT fmgaafar positivesolutionsofsingularhadamardtypefractionaldifferentialequationswithinfinitepointboundaryconditionsorintegralboundaryconditions
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