Fractional hybrid inclusion version of the Sturm–Liouville equation

Abstract The Sturm–Liouville equation is one of classical famous differential equations which has been studied from different of views in the literature. In this work, we are going to review its fractional hybrid inclusion version. In this way, we investigate two fractional hybrid Sturm–Liouville di...

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Main Authors: Zohreh Zeinalabedini Charandabi, Shahram Rezapour
Format: Article
Language:English
Published: SpringerOpen 2020-10-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-020-03011-2
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spelling doaj-118fc99c80e544539b63cb2c471500e82020-11-25T02:49:52ZengSpringerOpenAdvances in Difference Equations1687-18472020-10-012020112310.1186/s13662-020-03011-2Fractional hybrid inclusion version of the Sturm–Liouville equationZohreh Zeinalabedini Charandabi0Shahram Rezapour1Department of Mathematics, Sarab Branch, Islamic Azad UniversityDepartment of Mathematics, Azarbaijan Shahid Madani UniversityAbstract The Sturm–Liouville equation is one of classical famous differential equations which has been studied from different of views in the literature. In this work, we are going to review its fractional hybrid inclusion version. In this way, we investigate two fractional hybrid Sturm–Liouville differential inclusions with multipoint and integral hybrid boundary conditions. Also, we provide two examples to illustrate our main results.http://link.springer.com/article/10.1186/s13662-020-03011-2Fractional hybrid equationsInclusion problemIntegral hybrid boundary conditionThe Caputo derivativeThe Sturm–Liouville equation
collection DOAJ
language English
format Article
sources DOAJ
author Zohreh Zeinalabedini Charandabi
Shahram Rezapour
spellingShingle Zohreh Zeinalabedini Charandabi
Shahram Rezapour
Fractional hybrid inclusion version of the Sturm–Liouville equation
Advances in Difference Equations
Fractional hybrid equations
Inclusion problem
Integral hybrid boundary condition
The Caputo derivative
The Sturm–Liouville equation
author_facet Zohreh Zeinalabedini Charandabi
Shahram Rezapour
author_sort Zohreh Zeinalabedini Charandabi
title Fractional hybrid inclusion version of the Sturm–Liouville equation
title_short Fractional hybrid inclusion version of the Sturm–Liouville equation
title_full Fractional hybrid inclusion version of the Sturm–Liouville equation
title_fullStr Fractional hybrid inclusion version of the Sturm–Liouville equation
title_full_unstemmed Fractional hybrid inclusion version of the Sturm–Liouville equation
title_sort fractional hybrid inclusion version of the sturm–liouville equation
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2020-10-01
description Abstract The Sturm–Liouville equation is one of classical famous differential equations which has been studied from different of views in the literature. In this work, we are going to review its fractional hybrid inclusion version. In this way, we investigate two fractional hybrid Sturm–Liouville differential inclusions with multipoint and integral hybrid boundary conditions. Also, we provide two examples to illustrate our main results.
topic Fractional hybrid equations
Inclusion problem
Integral hybrid boundary condition
The Caputo derivative
The Sturm–Liouville equation
url http://link.springer.com/article/10.1186/s13662-020-03011-2
work_keys_str_mv AT zohrehzeinalabedinicharandabi fractionalhybridinclusionversionofthesturmliouvilleequation
AT shahramrezapour fractionalhybridinclusionversionofthesturmliouvilleequation
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