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Abstract
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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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