Investigation shows uniform continuity of semigroups in fractional differential equations, indicating solutions exist under multi-point integral conditions.
This paper investigates the uniform continuity and strong continuity of the semigroups of the fractional integral operators of power functions. Using the Krasnoselskii’s fixed-point theorem, we have studied the non-local problem related to fractional differential equations involving power functions with multi-point integral boundary conditions and obtain the existence of the solution.
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Lu et al. (2025) studied this question.
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