Yuri Luchko

The fundamental solution of the space-time fractional diffusion equation

Francesco Mainardi, Yuri Luchko, Gianni Pagnini · ArXiv.org · 2007 · 733 citations · Full text

Natural Sciences, Mathematics, Physics +16

Wright functions as scale-invariant solutions of the diffusion-wave equation

Rudolf Gorenflo, Yuri Luchko, Francesco Mainardi · Journal of Computational and Applied Mathematics · 2000 · 276 citations · Full text

Natural Sciences, Mathematics, Physics +8

Invariance of a Partial Differential Equation of Fractional Order under the Lie Group of Scaling Transformations

Evelyn Buckwar, Yuri Luchko · Journal of Mathematical Analysis and Applications · 1998 · 273 citations

Natural Sciences, Mathematics, Physics +16

Time-fractional diffusion equation in the fractional Sobolev spaces

Rudolf Gorenflo, Yuri Luchko, Masahiro Yamamoto · Fractional Calculus and Applied Analysis · 2015 · 238 citations

Natural Sciences, Mathematics, Physics +14

Analytical properties and applications of the Wright function

Rudolf Gorenflo, Yuri Luchko, Francesco Mainardi · ArXiv.org · 2007 · 230 citations · Full text

Natural Sciences, Mathematics, Physics +12