145 citations
- Technische Universität BerlinDE7 papers
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math.CA2020★ 10 cited
On complete monotonicity of solution to the fractional relaxation equation with the th level fractional derivative
Yuri Luchko
In this paper, we first deduce the explicit formulas for the projector of the th level fractional derivative and for its Laplace transform. Then the fractional relaxation equati…
math.CA2020★ 91 cited
Fractional derivatives and the fundamental theorem of Fractional Calculus
Yuri Luchko
In this paper, we address the one-parameter families of the fractional integrals and derivatives defined on a finite interval. First we remind the reader of the known fact that und…