On strong singular fractional version of the Sturm–Liouville equation

On strong singular fractional version of the Sturm–Liouville equation

Abstract The Sturm–Liouville equation is among the significant differential equations having many applications, and a lot of researchers have studied it. Up to now, different versions of this equation have been reviewed, but one of its most attractive versions is its strong singular version. In this...

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Autores principales: Mehdi Shabibi, Akbar Zada, Hashem Parvaneh Masiha, Shahram Rezapour
Formato: article
Lenguaje:EN
Publicado: SpringerOpen 2021
Materias:
Continuous dependence
Fractional Sturm–Liouville equation
Strong singular
The Caputo derivative
Analysis
QA299.6-433
Acceso en línea:https://doaj.org/article/6af7a638cb7f4157ad3bbbd8ace59d5f
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spelling oai:doaj.org-article:6af7a638cb7f4157ad3bbbd8ace59d5f2021-11-14T12:11:06ZOn strong singular fractional version of the Sturm–Liouville equation10.1186/s13661-021-01569-81687-2770https://doaj.org/article/6af7a638cb7f4157ad3bbbd8ace59d5f2021-11-01T00:00:00Zhttps://doi.org/10.1186/s13661-021-01569-8https://doaj.org/toc/1687-2770Abstract The Sturm–Liouville equation is among the significant differential equations having many applications, and a lot of researchers have studied it. Up to now, different versions of this equation have been reviewed, but one of its most attractive versions is its strong singular version. In this work, we investigate the existence of solutions for the strong singular version of the fractional Sturm–Liouville differential equation with multi-points integral boundary conditions. Also, the continuity depending on coefficients of the initial condition of the equation is examined. An example is proposed to demonstrate our main result.Mehdi ShabibiAkbar ZadaHashem Parvaneh MasihaShahram RezapourSpringerOpenarticleContinuous dependenceFractional Sturm–Liouville equationStrong singularThe Caputo derivativeAnalysisQA299.6-433ENBoundary Value Problems, Vol 2021, Iss 1, Pp 1-25 (2021)
institution DOAJ
collection DOAJ
language EN
topic Continuous dependence
Fractional Sturm–Liouville equation
Strong singular
The Caputo derivative
Analysis
QA299.6-433
spellingShingle Continuous dependence
Fractional Sturm–Liouville equation
Strong singular
The Caputo derivative
Analysis
QA299.6-433
Mehdi Shabibi
Akbar Zada
Hashem Parvaneh Masiha
Shahram Rezapour
On strong singular fractional version of the Sturm–Liouville equation
description Abstract The Sturm–Liouville equation is among the significant differential equations having many applications, and a lot of researchers have studied it. Up to now, different versions of this equation have been reviewed, but one of its most attractive versions is its strong singular version. In this work, we investigate the existence of solutions for the strong singular version of the fractional Sturm–Liouville differential equation with multi-points integral boundary conditions. Also, the continuity depending on coefficients of the initial condition of the equation is examined. An example is proposed to demonstrate our main result.
format article
author Mehdi Shabibi
Akbar Zada
Hashem Parvaneh Masiha
Shahram Rezapour
author_facet Mehdi Shabibi
Akbar Zada
Hashem Parvaneh Masiha
Shahram Rezapour
author_sort Mehdi Shabibi
title On strong singular fractional version of the Sturm–Liouville equation
title_short On strong singular fractional version of the Sturm–Liouville equation
title_full On strong singular fractional version of the Sturm–Liouville equation
title_fullStr On strong singular fractional version of the Sturm–Liouville equation
title_full_unstemmed On strong singular fractional version of the Sturm–Liouville equation
title_sort on strong singular fractional version of the sturm–liouville equation
publisher SpringerOpen
publishDate 2021
url https://doaj.org/article/6af7a638cb7f4157ad3bbbd8ace59d5f
work_keys_str_mv AT mehdishabibi onstrongsingularfractionalversionofthesturmliouvilleequation
AT akbarzada onstrongsingularfractionalversionofthesturmliouvilleequation
AT hashemparvanehmasiha onstrongsingularfractionalversionofthesturmliouvilleequation
AT shahramrezapour onstrongsingularfractionalversionofthesturmliouvilleequation
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