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Yuri Luchko

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 36 2639 2355 164 148 105 5528

Yuri Luchko publications per year

The chart shows the history of publications by Yuri Luchko between 1997 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Yuri Luchko published across 29 years, from 1997 to 2025, averaging 4.1 papers a year. Output peaked at 26 publications in 2019. 14 of the 118 publications appeared in the last two years.

No. of publications
5 10 15 20 25
Bar chart. Horizontal axis: year, 1997 to 2025. Vertical axis: number of publications, 0 to 26. Peak 26 publications in 2019. 1997: 1 publication 1998: 1 publication 1999: 0 publications 2000: 2 publications 2001: 1 publication 2002: 0 publications 2003: 0 publications 2004: 0 publications 2005: 0 publications 2006: 0 publications 2007: 2 publications 2008: 0 publications 2009: 0 publications 2010: 0 publications 2011: 1 publication 2012: 5 publications 2013: 9 publications 2014: 6 publications 2015: 3 publications 2016: 4 publications 2017: 8 publications 2018: 2 publications 2019: 26 publications 2020: 3 publications 2021: 10 publications 2022: 8 publications 2023: 12 publications 2024: 9 publications 2025: 5 publications
1997 2025

118 publications in total across all disciplines

View publications per year as a table
Yuri Luchko: publications per year, 1997 to 2025
Year Publications
1997 1
1998 1
1999 0
2000 2
2001 1
2002 0
2003 0
2004 0
2005 0
2006 0
2007 2
2008 0
2009 0
2010 0
2011 1
2012 5
2013 9
2014 6
2015 3
2016 4
2017 8
2018 2
2019 26
2020 3
2021 10
2022 8
2023 12
2024 9
2025 5
Total 118
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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.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 102–106 publications, is where this scientist sits. 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 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 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.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83 105
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
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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.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 36 D-Index, is where this scientist sits. 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.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145 36
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

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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Best Scientists Citing Yuri Luchko

Francesco Mainardi

Francesco Mainardi

National Institute for Nuclear Physics

Publications: 84

Dumitru Baleanu

Dumitru Baleanu

Lebanese American University

Publications: 65

Rudolf Gorenflo

Rudolf Gorenflo

Freie Universität Berlin

Publications: 48

Fawang Liu

Fawang Liu

Queensland University of Technology

Publications: 46

Vasily E. Tarasov

Vasily E. Tarasov

Lomonosov Moscow State University

Publications: 39

Ian Turner

Ian Turner

Queensland University of Technology

Publications: 22

Thabet Abdeljawad

Thabet Abdeljawad

Prince Sultan University

Publications: 20

Vo Anh

Vo Anh

Queensland University of Technology

Publications: 18

Zhi Zhou

Zhi Zhou

Hong Kong Polytechnic University

Publications: 15

Zhi-zhong Sun

Zhi-zhong Sun

Southeast University

Publications: 14

Bangti Jin

Bangti Jin

Chinese University of Hong Kong

Publications: 14

Nguyen Huy Tuan

Nguyen Huy Tuan

Duy Tan University

Publications: 14

José Francisco Gómez-Aguilar

José Francisco Gómez-Aguilar

National Technological Institute of Mexico

Publications: 13

Mark M. Meerschaert

Mark M. Meerschaert

Michigan State University

Publications: 13

Masahiro Yamamoto

Masahiro Yamamoto

University of Tokyo

Publications: 13

Martin Stynes

Martin Stynes

Beijing Computational Science Research Center

Publications: 12

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