Yuri Luchko

发表

Basic FC operators and their properties

Anatoly N. Kochubei, Yuri Luchko, 2019 .

Entropy Production Rate of a One-Dimensional Alpha-Fractional Diffusion Process

Yuri Luchko, Yuri Luchko, 2016, Axioms.

Propagation speed of the maximum of the fundamental solution to the fractional diffusion-wave equation

Francesco Mainardi, Yuriy Povstenko, Yuri Luchko, 2012, Comput. Math. Appl..

Some Schemata for Applications of the Integral Transforms of Mathematical Physics

Yuri Luchko, Yuri Luchko, 2019, Mathematics.

Analyticity of solutions to a distributed order time-fractional diffusion equation and its application to an inverse problem

Zhiyuan Li, Masahiro Yamamoto, Yuri Luchko, 2017, Comput. Math. Appl..

Maximum principle for the multi-term time-fractional diffusion equations with the Riemann-Liouville fractional derivatives

Mohammed Al-Refai, Yuri Luchko, M. Al-Refai, 2015, Appl. Math. Comput..

Entropy Production Rates of the Multi-Dimensional Fractional Diffusion Processes

Yuri Luchko, Yuri Luchko, 2019, Entropy.

Wave-diffusion dualism of the neutral-fractional processes

Yuri Luchko, Yuri Luchko, 2015, J. Comput. Phys..

Multi-dimensional α-fractional diffusion-wave equation and some properties of its fundamental solution

Yuri Luchko, Lyubomir Boyadjiev, Yuri Luchko, 2017, Comput. Math. Appl..

On the maximum principle for the multi-term fractional transport equation

Masahiro Yamamoto, Anna Suzuki, Yuri Luchko, 2021, 2103.06582.

Multidimensional scaling and visualization of patterns in distribution of nontrivial zeros of the zeta-function

Yuri Luchko, Jos'e Tenreiro Machado, Yuri Luchko, 2021, Commun. Nonlinear Sci. Numer. Simul..

Two Forms of An Inverse Operator to the Generalized Bessel Potential

Yuri Luchko, Elina Shishkina, Akhmed Dzhabrailov, 2021, Axioms.

General Fractional Integrals and Derivatives with the Sonine Kernels

Yuri Luchko, 2021 .

Trends, directions for further research, and some open problems of fractional calculus

Vasily E. Tarasov, Kai Diethelm, Yuri Luchko, 2021, Nonlinear Dynamics.

Convolution series and the generalized convolution Taylor formula

Yuri Luchko, 2021 .

Special Functions of Fractional Calculus in the Form of Convolution Series and Their Applications

Yuri Luchko, Yuri Luchko, 2021, Mathematics.

Operational Calculus for the General Fractional Derivative and Its Applications

Yuri Luchko, 2021, Fractional Calculus and Applied Analysis.

General Fractional Integrals and Derivatives of Arbitrary Order

Yuri Luchko, Yuri Luchko, 2021, Symmetry.

Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation

Yuri Luchko, Yuri Luchko, 2011, 1111.2961.

Bifurcation characteristics of fractional reaction-diffusion systems

Yuri Luchko, V. V. Gafiychuk, Bohdan Datsko, 2012 .

Handbook of fractional calculus with applications

Yuri Luchko, Yuri Luchko, Anatolij N. Kočubej, 2019 .

Uniqueness and reconstruction of an unknown semilinear term in a time-fractional reaction–diffusion equation

William Rundell, Masahiro Yamamoto, Lihua Zuo, 2013 .

Subordination principles for the multi-dimensional space-time-fractional diffusion-wave equation

Yuri Luchko, Yuri Luchko, 2018, Theory of Probability and Mathematical Statistics.

THE SPACE-TIME FRACTIONAL DIFFUSION EQUATION

Francesco Mainardi, Yuri Luchko, Gianni Pagnini, 2001 .

On the distribution of zeros of the wright function

Yuri Luchko, Yuri Luchko, 2001 .

Operationl method for solving generalized abel integral equation of second kind

Rudolf Gorenflo, Yuri Luchko, R. Gorenflo, 1997 .

Modeling of financial processes with a space-time fractional diffusion equation of varying order

Yuri Luchko, Jan Korbel, J. Korbel, 2016 .

Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations

Masahiro Yamamoto, Yuri Luchko, Zhiyuan Li, 2014 .

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

Evelyn Buckwar, Yuri Luchko, Yuri Luchko, 1998 .

Time-fractional diffusion equation in the fractional Sobolev spaces

Masahiro Yamamoto, Rudolf Gorenflo, Yuri Luchko, 2015 .