The fundamental solution of the space-time fractional diffusion equation F Mainardi, Y Luchko, G Pagnini arXiv preprint cond-mat/0702419, 2007 | 1101 | 2007 |

Algorithms for the fractional calculus: a selection of numerical methods K Diethelm, NJ Ford, AD Freed, Y Luchko Computer methods in applied mechanics and engineering 194 (6-8), 743-773, 2005 | 682 | 2005 |

An operational method for solving fractional differential equations with the Caputo derivatives Y Luchko, R Gorenflo Acta Math. Vietnam 24 (2), 207-233, 1999 | 446 | 1999 |

Computation of the Mittag-Leffler function and its derivative R Gorenflo, J Loutchko, Y Luchko Fractional Calculus & Applied Analysis 5 (4), 491-518, 2002 | 373 | 2002 |

Analytical properties and applications of the Wright function R Gorenflo, Y Luchko, F Mainardi arXiv preprint math-ph/0701069, 2007 | 359 | 2007 |

Wright functions as scale-invariant solutions of the diffusion-wave equation R Gorenflo, Y Luchko, F Mainardi Journal of Computational and Applied Mathematics 118 (1-2), 175-191, 2000 | 322 | 2000 |

Maximum principle for the generalized time-fractional diffusion equation Y Luchko Journal of Mathematical Analysis and Applications 351 (1), 218-223, 2009 | 268 | 2009 |

Invariance of a partial differential equation of fractional order under the Lie group of scaling transformations E Buckwar, Y Luchko Journal of Mathematical Analysis and Applications 227 (1), 81-97, 1998 | 260 | 1998 |

Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation Y Luchko Journal of Mathematical Analysis and Applications 374 (2), 538-548, 2011 | 256 | 2011 |

The hypergeometric approach to integral transforms and convolutions YF Luchko, SB Yakubovich | 253* | 1994 |

Operational method for the solution of fractional differential equations with generalized Riemann-Liouville fractional derivatives R Hilfer, Y Luchko, Z Tomovski Fract. Calc. Appl. Anal 12 (3), 299-318, 2009 | 250 | 2009 |

Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation Y Luchko Computers & Mathematics with Applications 59 (5), 1766-1772, 2010 | 222 | 2010 |

The initial value problem for some fractional differential equations with the Caputo derivatives Y Luchko, R Gorenflo | 211 | 1998 |

The exact solution of certain differential equations of fractional order by using operational calculus YF Luchko, HM Srivastava Computers & Mathematics with Applications 29 (8), 73-85, 1995 | 187 | 1995 |

Boundary value problems for the generalized time-fractional diffusion equation of distributed order Y Luchko Fract. Calc. Appl. Anal 12 (4), 409-422, 2009 | 158 | 2009 |

Mapping between solutions of fractional diffusion-wave equations R Gorenflo, A Iskenderov, Y Luchko Fractional Calculus and Applied Analysis 3 (1), 75-86, 2000 | 145 | 2000 |

Scale-invariant solutions of a partial differential equation of fractional order Y Luchko, R Gorenflo Fract. Calc. Appl. Anal 1 (1), 63-78, 1998 | 140 | 1998 |

Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation Y Luchko Fractional Calculus and Applied Analysis 15 (1), 141-160, 2012 | 134 | 2012 |

Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials S Esmaeili, M Shamsi, Y Luchko Computers & Mathematics with Applications 62 (3), 918-929, 2011 | 134 | 2011 |

Time-fractional diffusion equation in the fractional Sobolev spaces R Gorenflo, Y Luchko, M Yamamoto Fractional Calculus and Applied Analysis 18 (3), 799-820, 2015 | 128 | 2015 |