World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
36
Citations
5528
World Ranking
2639
National Ranking
164

Yuri Luchko publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Yuri Luchko sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 105 publications — 13th percentile

13% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Yuri Luchko D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Yuri Luchko sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 36 D-Index — 29th percentile

29% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Yuri Luchko is a researcher affiliated with Beuth University of Applied Sciences in Germany, specializing in the field of Mathematics. Their work primarily focuses on fractional calculus and differential equations, with a large body of publications contributing to both theoretical and applied mathematics.

The scientist has published extensively in the main field of Mathematics, with notable contributions to several subfields including Applied Mathematics, Modeling and Simulation, Numerical Analysis, Mathematical Physics, and Mechanics of Materials. Their research encompasses the study and solutions of fractional differential equations, mathematical functions and polynomials, nonlinear differential equations analysis, differential equations and boundary problems, iterative methods for nonlinear equations, numerical methods in engineering, and differential equations alongside numerical methods.

Recent publications by Yuri Luchko include:

  • Trends, directions for further research, and some open problems of fractional calculus (2022) in Nonlinear Dynamics
  • The General Fractional Derivative and Related Fractional Differential Equations (2020) in Mathematics
  • Fractional Differential Equations with the General Fractional Derivatives of Arbitrary Order in the Riemann-Liouville Sense (2022) in Mathematics
  • Convolution series and the generalized convolution Taylor formula (2022) in Fractional Calculus and Applied Analysis
  • Special Functions of Fractional Calculus in the Form of Convolution Series and Their Applications (2021) in Mathematics

The researcher has a history of collaboration with several frequent co-authors, including Mohammed Al-Refai, Masahiro Yamamoto, Maryam Al-Kandari, and J. A. Tenreiro Machado. These collaborations have contributed to the development of their research topics and broadened their scope within the field.

Yuri Luchko's work is commonly published in venues such as:

  • Mathematics
  • arXiv (Cornell University)
  • Fractional Calculus and Applied Analysis
  • Preprints.org
  • Axioms

The core topics in their research include:

  • Fractional Differential Equations Solutions
  • Mathematical functions and polynomials
  • Nonlinear Differential Equations Analysis
  • Differential Equations and Boundary Problems
  • Iterative Methods for Nonlinear Equations
  • Numerical methods in engineering
  • Differential Equations and Numerical Methods

Best Publications

  • The fundamental solution of the space-time fractional diffusion equation

    Francesco Mainardi;Yuri Luchko;Gianni Pagnini

  • Wright functions as scale-invariant solutions of the diffusion-wave equation

    Rudolf Gorenflo;Yuri Luchko;Francesco Mainardi

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

    Evelyn Buckwar;Yuri Luchko

  • Analytical properties and applications of the Wright function

    Rudolf Gorenflo;Yuri Luchko;Francesco Mainardi

  • Time-fractional diffusion equation in the fractional Sobolev spaces

    Rudolf Gorenflo;Yuri Luchko;Masahiro Yamamoto

  • The exact solution of certain differential equations of fractional order by using operational calculus

    Yu.F. Luchko;H.M. Srivastava

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

    Yuri Luchko

  • General time-fractional diffusion equation: some uniqueness and existence results for the initial-boundary-value problems

    Yuri Luchko;Masahiro Yamamoto

  • Fractional Schrödinger equation for a particle moving in a potential well

    Yuri Luchko

  • Handbook of fractional calculus with applications

    Anatolij N. Kočubej;Yuri Luchko

  • Fundamental solution of a distributed order time-fractional diffusion-wave equation as probability density

    Rudolf Gorenflo;Yuri Luchko;Mirjana Stojanović

  • Desiderata for Fractional Derivatives and Integrals

    Rudolf Hilfer;Yuri Luchko

  • Fractional wave equation and damped waves

    Yuri Luchko

  • Trends, Directions for Further Research, and Some Open Problems of Fractional Calculus

    Kai Diethelm;Virginia Kiryakova;Yuri Luchko;J. A. Tenreiro Machado

  • General fractional integrals and derivatives with the Sonine kernels

    Yuri Luchko

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

    Yuri Luchko;William Rundell;Masahiro Yamamoto;Lihua Zuo

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

    Zhiyuan Li;Yuri Luchko;Masahiro Yamamoto

  • The General Fractional Derivative and Related Fractional Differential Equations

    Yuri Luchko;Masahiro Yamamoto

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

    Zhiyuan Li;Yuri Luchko;Masahiro Yamamoto

  • Fractional Differential Equations with the General Fractional Derivatives of Arbitrary Order in the Riemann–Liouville Sense

    Unknown

  • Operational calculus for the general fractional derivative and its applications

    Yuri Luchko

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

    Yuri Luchko;Francesco Mainardi;Yuriy Povstenko

  • Maximum principle for the fractional diffusion equations with the Riemann-Liouville fractional derivative and its applications

    Mohammed Al-Refai;Yuri Luchko

  • The mellin integral transform in fractional calculus

    Yuri Luchko;Virginia Kiryakova

  • General Fractional Integrals and Derivatives of Arbitrary Order

    Yuri Luchko

Frequent Co-Authors

Francesco Mainardi
Francesco Mainardi National Institute for Nuclear Physics
Rudolf Gorenflo
Rudolf Gorenflo Freie Universität Berlin
Masahiro Yamamoto
Masahiro Yamamoto University of Tokyo
J. A. Tenreiro Machado
J. A. Tenreiro Machado Polytechnic Institute of Porto
Kai Diethelm
Kai Diethelm Technische Universität Braunschweig
Varsha Daftardar-Gejji
Varsha Daftardar-Gejji Savitribai Phule Pune University
William Rundell
William Rundell Texas A&M University
Vasily E. Tarasov
Vasily E. Tarasov Lomonosov Moscow State University
Pagavathigounder Balasubramaniam
Pagavathigounder Balasubramaniam Gandhigram Rural Institute
Igor Podlubny
Igor Podlubny Technical University of Košice

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