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arXiv · 2007.04471

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

D. S. Oliveira
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Abstract

This paper aims to investigate properties associated with fractional integral operators involving the three-parameters Mittag-Leffler function in the kernels with respect to another function. We prove that the Cauchy problem and the Volterra integral equation are equivalent. We find a closed-form to the solution of the Cauchy problem using successive approximations method and $ψ$-Caputo fractional derivative.

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D. S. Oliveira. 2020-07-10. Properties of fractional integral operators involving the three-parameters Mittag-Leffler function in the kernels with respect to another function. https://arxiv.org/abs/2007.04471

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