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This paper aims to investigate properties associated with fractional integraloperators involving the three-parameters Mittag-Leffler function in the kernelswith respect to another function. We prove that the Cauchy problem and theVolterra integral equation are equivalent. We find a closed-form to thesolution of the Cauchy problem using successive approximations method and$\psi$-Caputo fractional derivative.

Properties of fractional integral operators involving the three-parameters Mittag-Leffler function in the kernels with respect to another function