On the Semigroup Properties of Fractional Calculus with Respect to a Power Functions and Solutions to Nonlocal Problems in Fractional Differential Equations
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This paper investigates the uniform continuity and strong continuity of the semigroups of the fractional integral operators of power functions. Using the Krasnoselskii$^{\prime}$s fixed point theorem, we have studied the nonlocal problem related to fractional differential equations involving power functions with multi-point integral boundary conditions and obtain the existence of the solution.