Yury F. Luchko

Modeling and Simulation · 2005–2011

A researcher in the Science corpus: 7 papers; trusts 26 researchers and is trusted by 41 researchers here, as inferred from the citation graph.

Subfields

• Modeling and Simulation — 50 citations into it; #85 of 2,105 by trust here, #132 by citations
• Numerical Analysis — 34 citations into it; #180 of 3,586 by trust here, #157 by citations
• Applied Mathematics — 27 citations into it; #538 of 7,620 by trust here, #1,250 by citations
• Mechanics of Materials — 11 citations into it
• Mathematical Physics — 6 citations into it
• Fluid Flow and Transfer Processes — 5 citations into it
• Statistical and Nonlinear Physics — 5 citations into it

Whom Yury F. Luchko trusts overall

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

1. Rico Zacher
2. Varsha Daftardar-Gejji
3. Rudolf Hilfer
4. Anatoly N. Kochubei
5. Rudolf Gorenflo
6. Francesco Mainardi
7. Aleksei V. Chechkin
8. Sachin Bhalekar
9. Anatoly A. Kilbas
10. Kai Diethelm

Who trusts Yury F. Luchko overall

1. Yuri Luchko
2. Masahiro Yamamoto
3. C. Sin
4. Zhi-yuan Li
5. Virginia S. Kiryakova
6. Om Prakash Agrawal
7. Ricardo Almeida
8. Francesco Mainardi
9. Mohammed Abdalla Al-Refai
10. Zhenhai Liu

Papers from Yury F. Luchko's perspective

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

1. Fractional Integrals and Derivatives: Theory and Applications
2. Fractional Calculus: Integral and Differential Equations of Fractional Order
3. Distributed order calculus and equations of ultraslow diffusion
4. Distributed-Order Fractional Kinetics
5. The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
6. Theory and Applications of Fractional Differential Equations
7. Maximum principle for the generalized time-fractional diffusion equation
8. Fractional Calculus: Some Basic Problems in Continuum and Statistical Mechanics
9. Detailed Error Analysis for a Fractional Adams Method (Numerical Algorithms)
10. Analysis of Fractional Differential Equations

Their papers

• Algorithms for the fractional calculus: A selection of numerical methods (2005) — 704 citations
• Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation (2011) — 310 citations
• Maximum principle for the generalized time-fractional diffusion equation (2009) — 361 citations
• OPERATIONAL METHOD FOR THE SOLUTION OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH GENERALIZED RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES (2009) — 363 citations
• BOUNDARY VALUE PROBLEMS FOR THE GENERALIZED TIME-FRACTIONAL DIFFUSION EQUATION OF DISTRIBUTED ORDER (2009) — 204 citations
• Algorithms for Evaluation of the Wright Function for the Real Arguments’ Values (2008) — 64 citations
• Caputo-Type Modification of the Erdélyi-Kober Fractional Derivative (2007) — 131 citations