Boundary Value Problems (Nov 2021)

On strong singular fractional version of the Sturm–Liouville equation

  • Mehdi Shabibi,
  • Akbar Zada,
  • Hashem Parvaneh Masiha,
  • Shahram Rezapour

DOI
https://doi.org/10.1186/s13661-021-01569-8
Journal volume & issue
Vol. 2021, no. 1
pp. 1 – 25

Abstract

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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.

Keywords