Yuri Luchko

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Rudolf GorenfloEmeritus Professor of Mathematics, Free University Berlin, GermanyVerified email at mi.fu-berlin.de
Francesco MainardiFree Professor of Mathematical Physics, University of Bologna and INFN, I-40126 Bologna, ItalyVerified email at bo.infn.it
Virginia KiryakovaProfessor, Bulgarian Academy of SciencesVerified email at math.bas.bg
Gianni PagniniIkerbasque Research Fellow, BCAM Bilbao, Basque Country - SpainVerified email at bcamath.org
Juan Jose Trujillo Jacinto del CastilloProfessor of Applied Mathematics. Universidad de La LagunaVerified email at ull.edu.es
Mohammed Al-RefaiProfessor of Mathematics, Yarmouk UniversityVerified email at yu.edu.jo
Anatoly N. KochubeiInstitute of Mathematics of the NAS of UkraineVerified email at imath.kiev.ua
Frank HaußerProfessor of Mathematics, Berliner Hochschule für Technik,Verified email at bht-berlin.de
H. M. SrivastavaProfessor Emeritus, Department of Mathematics and Statistics, Universtity of Victoria, CanadaVerified email at math.uvic.ca
Sabir UmarovUniversity of New HavenVerified email at newhaven.edu
Dr. Latif Abdelmalek HannaDepartment of Mathematics, Faculty of Science, Kuwait UniversityVerified email at ku.edu.kw
Neville FordProfessor of Mathematics, University of ChesterVerified email at chester.ac.uk
Evelyn BuckwarProfessor for Stochastics, Johannes Kepler University LinzVerified email at jku.at
Bohdan DatskoThe Faculty of Mathematics and Applied Physics, Rzeszow University of TechnoogyVerified email at prz.edu.pl
Vasily E. TarasovSkobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State UniversityVerified email at theory.sinp.msu.ru
Maryam Al-KandariKuwait UniversityVerified email at sci.kuniv.edu.kw
J. Tenreiro MachadoInstitute of Engineering, Polytechnic of Porto, Dept. of Electrical Engineering, Porto, PortugalVerified email at isep.ipp.pt
M. Pilar VelascoUniversidad Politécnica de MadridVerified email at upm.es
Jan KorbelComplexity Science Hub ViennaVerified email at csh.ac.at
Lihua ZuoAssistant Professor of Math, Texas A&M University-Corpus ChristiVerified email at tamucc.edu

Yuri Luchko

Professor of Mathematics, Berlin University of Applied Sciences and Technology, Germany

Verified email at bht-berlin.de - Homepage

Fractional Calculus Fractional Differential Equations Operational Calculus Special Functions


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The fundamental solution of the space-time fractional diffusion equation F Mainardi, Y Luchko, G Pagnini arXiv preprint cond-mat/0702419, 2007	1343	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	866	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	673	1999
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	515	2009
Computation of the Mittag-Leffler function and its derivative R Gorenflo, J Loutchko, Y Luchko Fractional Calculus & Applied Analysis 5 (4), 491-518, 2002	465	2002
Analytical properties and applications of the Wright function R Gorenflo, Y Luchko, F Mainardi arXiv preprint math-ph/0701069, 2007	462	2007
Maximum principle for the generalized time-fractional diffusion equation Y Luchko Journal of Mathematical Analysis and Applications 351 (1), 218-223, 2009	385	2009
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	383	2000
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	367	2011
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	352	1998
The hypergeometric approach to integral transforms and convolutions YF Luchko, SB Yakubovich	338*	1994
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	330	2010
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	247	1995
The initial value problem for some fractional differential equations with the Caputo derivatives Y Luchko, R Gorenflo	240	1998
Boundary value problems for the generalized time-fractional diffusion equation of distributed order Y Luchko Fract. Calc. Appl. Anal 12 (4), 409-422, 2009	239	2009
Time-fractional diffusion equation in the fractional Sobolev spaces R Gorenflo, Y Luchko, M Yamamoto Fractional Calculus and Applied Analysis 18, 799-820, 2015	228	2015
Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation Y Luchko Fractional Calculus and Applied Analysis 15 (1), 141-160, 2012	227	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	209	2011
Mapping between solutions of fractional diffusion-wave equations R Gorenflo, A Iskenderov, Y Luchko Fractional Calculus and Applied Analysis 3 (1), 75-86, 2000	183	2000
Operational method in fractional calculus Y Luchko Fract. Calc. Appl. Anal 2 (4), 463-488, 1999	175	1999

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