4 citations · 9 across the 5 of their papers we have counts for
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Operational Calculus for the 1st Level General Fractional Derivatives and its Applications
Maryam Alkandari, Yuri Luchko
The 1st level General Fractional Derivatives (GFDs) combine in one definition the GFDs of the Riemann-Liouville type and the regularized GFDs (or the GFDs of the Caputo type) that…
Comparison principles for the time-fractional diffusion equations with the Robin boundary conditions. Part I: Linear equations
Yuri Luchko, Masahiro Yamamoto
The main objective of this paper is analysis of the initial-boundary value problems for the linear time-fractional diffusion equations with a uniformly elliptic spatial differentia…
Comparison principles for the linear and semiliniar time-fractional diffusion equations with the Robin boundary condition
Yuri Luchko, Masahiro Yamamoto
The main objective of this paper is analysis of the initial-boundary value problems for the linear and semilinear time-fractional diffusion equations with a uniformly elliptic spat…
Operator theoretic approach to the Caputo derivative and the fractional diffusion equations
Rudolf Gorenflo, Yuri Luchko, Masahiro Yamamoto
The Caputo time-derivative is usually defined pointwise for well-behaved functions, say, for continuously differentiable functions. Accordingly, in the theory of the partial fracti…