Yuri Luchko
Yuri Luchko
Professor of Mathematics, Technical University of Applied Sciences Berlin, Germany
Verified email at beuth-hochschule.de - Homepage
Title
Cited by
Cited by
Year
The fundamental solution of the space-time fractional diffusion equation
F Mainardi, Y Luchko, G Pagnini
arXiv preprint cond-mat/0702419, 2007
10342007
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
6302005
An operational method for solving fractional differential equations with the Caputo derivatives
Y Luchko, R Gorenflo
Acta Math. Vietnam 24 (2), 207-233, 1999
4061999
Computation of the Mittag-Leffler function and its derivative
R Gorenflo, J Loutchko, Y Luchko
Fractional Calculus & Applied Analysis 5 (4), 491-518, 2002
3472002
Analytical properties and applications of the Wright function
R Gorenflo, Y Luchko, F Mainardi
arXiv preprint math-ph/0701069, 2007
3132007
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
3002000
Maximum principle for the generalized time-fractional diffusion equation
Y Luchko
Journal of Mathematical Analysis and Applications 351 (1), 218-223, 2009
2382009
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
2371998
The hypergeometric approach to integral transforms and convolutions
YF Luchko, SB Yakubovich
225*1994
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
2122011
The initial value problem for some fractional differential equations with the Caputo derivatives
Y Luchko, R Gorenflo
2091998
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
2052010
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
1982009
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
1711995
Boundary value problems for the generalized time-fractional diffusion equation of distributed order
Y Luchko
Fract. Calc. Appl. Anal 12 (4), 409-422, 2009
1402009
Mapping between solutions of fractional diffusion-wave equations
R Gorenflo, A Iskenderov, Y Luchko
Fractional Calculus and Applied Analysis 3 (1), 75-86, 2000
1362000
Scale-invariant solutions of a partial differential equation of fractional order
Y Luchko, R Gorenflo
Fract. Calc. Appl. Anal 1 (1), 63-78, 1998
1221998
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
1192011
Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation
Y Luchko
Fractional Calculus and Applied Analysis 15 (1), 141-160, 2012
1082012
Operational method in fractional calculus
Y Luchko
Fract. Calc. Appl. Anal 2 (4), 463-488, 1999
1051999
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