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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Auteurs principaux: Mehdi Shabibi, Akbar Zada, Hashem Parvaneh Masiha, Shahram Rezapour
Format: article
Langue:EN
Publié: SpringerOpen 2021
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Accès en ligne:https://doaj.org/article/6af7a638cb7f4157ad3bbbd8ace59d5f
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Résumé: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.