Semigroup properties of Katugampola fractional integrals and nonlocal
problems of fractional differential equations
Abstract
This paper investigates the uniform continuity and strong continuity of
the semigroups of Katugampola integral operators.Using the Krasnoselskii
′s fixed point theorem, we study the nonlocal problem
of Katugampola fractional differential equations with multi-point
integral boundary conditions and obtain the uniqueness of the solution.
