On strong singular fractional version of the Sturm–Liouville equation

被引：0
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作者：
Mehdi Shabibi
Akbar Zada
Hashem Parvaneh Masiha
Shahram Rezapour
机构：
[1] Islamic Azad University,Department of Mathematics
[2] University of Peshawar,Department of Mathematics
[3] K. N. Toosi University of Technology,Department of Mathematics
[4] Azarbaijan Shahid Madani University,Department of Mathematics
[5] China Medical University,Department of Medical Research, China Medical University Hospital
来源：
Boundary Value Problems | / 2021卷
关键词：
Continuous dependence; Fractional Sturm–Liouville equation; Strong singular; The Caputo derivative; 34A08; 34A38; 35A21; 45G05;
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摘要：
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.
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