Yuri Luchko

Modeling and Simulation · 2000–2022

A researcher in the Science corpus: 18 papers; trusts 31 researchers and is trusted by 37 researchers here, as inferred from the citation graph.

Subfields

• Modeling and Simulation — 104 citations into it; #103 of 2,105 by trust here, #68 by citations
• Applied Mathematics — 75 citations into it; #791 of 7,620 by trust here, #333 by citations
• Numerical Analysis — 73 citations into it; #395 of 3,586 by trust here, #133 by citations
• Mathematical Physics — 14 citations into it
• Statistical and Nonlinear Physics — 13 citations into it; #8,178 of 10,127 by trust here, #4,137 by citations
• Control and Systems Engineering — 12 citations into it
• Mechanics of Materials — 12 citations into it; #2,371 of 6,291 by trust here, #2,279 by citations
• Computational Theory and Mathematics — 7 citations into it; #9,363 of 12,182 by trust here, #5,954 by citations

Whom Yuri Luchko trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Anatoly N. Kochubei
2. C. Sin
3. A. Hanyga
4. Kai Diethelm
5. Yury F. Luchko
6. Francesco Mainardi
7. Masahiro Yamamoto
8. Rico Zacher
9. S. Samko
10. Ralf Metzler

Who trusts Yuri Luchko overall

1. Zhenhai Liu
2. Masahiro Yamamoto
3. Wen Chen
4. Rudolf Gorenflo
5. Francesco Mainardi
6. Dumitru Băleanu
7. Shengda Zeng
8. C. Sin
9. Jianjun Zhang
10. Arran Fernandez

Papers from Yuri Luchko's perspective

Ordered by how strongly the researchers Yuri Luchko trusts endorse each paper. Same corpus, a different order for every researcher.

1. Theory and Applications of Fractional Differential Equations
2. An Introduction to Probability Theory and Its Applications
3. Fractional Integrals and Derivatives: Theory and Applications
4. Distributed order calculus and equations of ultraslow diffusion
5. Maximum principle for the generalized time-fractional diffusion equation
6. Fractional Calculus: Some Basic Problems in Continuum and Statistical Mechanics
7. General fractional calculus (Basic Theory)
8. Fractional Differential Equations
9. Cauchy problem for fractional diffusion equations
10. Fractional Calculus: Integral and Differential Equations of Fractional Order

Their papers

• Desiderata for Fractional Derivatives and Integrals (2019) — 106 citations
• Fractional Differential Equations with the General Fractional Derivatives of Arbitrary Order in the Riemann–Liouville Sense (2022) — 62 citations
• Operational Calculus for the General Fractional Derivative and Its Applications (2021) — 118 citations
• General Fractional Integrals and Derivatives with the Sonine Kernels (2021) — 141 citations
• The General Fractional Derivative and Related Fractional Differential Equations (2020) — 83 citations
• Fractional derivatives and the fundamental theorem of fractional calculus (2020) — 95 citations
• Handbook of fractional calculus with applications (2019) — 374 citations
• General time-fractional diffusion equation: some uniqueness and existence results for the initial-boundary-value problems (2016) — 159 citations
• Time-fractional diffusion equation in the fractional Sobolev spaces (2015) — 236 citations
• Maximum principle for the fractional diffusion equations with the Riemann-Liouville fractional derivative and its applications (2014) — 63 citations
• Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations (2014) — 93 citations
• The mellin integral transform in fractional calculus (2013) — 74 citations
• Fundamental solution of a distributed order time-fractional diffusion-wave equation as probability density (2013) — 155 citations
• Fractional wave equation and damped waves (2012) — 140 citations
• Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation (2011) — 194 citations
• Analytical properties and applications of the Wright function (2007) — 293 citations
• The fundamental solution of the space-time fractional diffusion equation (2007) — 880 citations
• Wright functions as scale-invariant solutions of the diffusion-wave equation (2000) — 276 citations