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math.CA2023★ 1 cited
Symmetrical Sonin kernels in terms of the hypergeometric functions
Yuri Luchko
In this paper, we introduce a new class of the kernels of the integral transforms of the Laplace convolution type that we call symmetrical Sonin kernels. For a symmetrical Sonin ke…
math.CA2022★ 1 cited
The 1st Level General Fractional Derivatives and some of their Properties
Yuri Luchko
In this paper, we first provide a short summary of the main properties of the so-called general fractional derivatives with the Sonin kernels introduced so far. These are integro-d…