Yu. Luchko

794 total citations · 1 hit paper
8 papers, 602 citations indexed

About

Yu. Luchko is a scholar working on Modeling and Simulation, Applied Mathematics and Numerical Analysis. According to data from OpenAlex, Yu. Luchko has authored 8 papers receiving a total of 602 indexed citations (citations by other indexed papers that have themselves been cited), including 8 papers in Modeling and Simulation, 5 papers in Applied Mathematics and 4 papers in Numerical Analysis. Recurrent topics in Yu. Luchko's work include Fractional Differential Equations Solutions (8 papers), Nonlinear Differential Equations Analysis (5 papers) and Iterative Methods for Nonlinear Equations (4 papers). Yu. Luchko is often cited by papers focused on Fractional Differential Equations Solutions (8 papers), Nonlinear Differential Equations Analysis (5 papers) and Iterative Methods for Nonlinear Equations (4 papers). Yu. Luchko collaborates with scholars based in Germany, Kuwait and United Kingdom. Yu. Luchko's co-authors include Neville J. Ford, Kai Diethelm, Alan D. Freed, Bader Al-Saqabi, Michail D. Todorov and Christo I. Christov and has published in prestigious journals such as Computer Methods in Applied Mechanics and Engineering, The European Physical Journal Special Topics and Integral Transforms and Special Functions.

In The Last Decade

Yu. Luchko

8 papers receiving 562 citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Algorithms for the fractional calculus: A selection of numerical methods

2004 508 citations Kai Diethelm, Neville J. Ford et al. Computer Methods in Applied Mechanics and Engineering profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Yu. Luchko Germany	6	508	271	133	101	97	8	602
M.A. Taneco-Hernández Mexico	15	542 1.1×	210 0.8×	159 1.2×	181 1.8×	143 1.5×	29	638
S. Kazem Iran	14	497 1.0×	362 1.3×	155 1.2×	153 1.5×	73 0.8×	17	748
Adel A. El‐Sayed Egypt	14	507 1.0×	324 1.2×	195 1.5×	174 1.7×	88 0.9×	22	674
A. M. Nagy Egypt	16	636 1.3×	405 1.5×	234 1.8×	183 1.8×	148 1.5×	40	830
Alireza Ansari Iran	16	554 1.1×	277 1.0×	354 2.7×	160 1.6×	85 0.9×	78	700
Mohammad Javidi Iran	14	501 1.0×	352 1.3×	205 1.5×	105 1.0×	43 0.4×	48	606
Sushila Rathore India	9	505 1.0×	276 1.0×	150 1.1×	199 2.0×	39 0.4×	19	568
Necdet Bıldık Türkiye	12	380 0.7×	225 0.8×	77 0.6×	99 1.0×	55 0.6×	31	510
Ved Prakash Dubey India	13	407 0.8×	173 0.6×	95 0.7×	162 1.6×	45 0.5×	26	467
R.M. Ganji Iran	15	703 1.4×	450 1.7×	252 1.9×	176 1.7×	80 0.8×	22	784

Countries citing papers authored by Yu. Luchko

Since Specialization

Citations

This map shows the geographic impact of Yu. Luchko's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Yu. Luchko with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Yu. Luchko more than expected).

Fields of papers citing papers by Yu. Luchko

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Yu. Luchko. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Yu. Luchko. The network helps show where Yu. Luchko may publish in the future.

Co-authorship network of co-authors of Yu. Luchko

This figure shows the co-authorship network connecting the top 25 collaborators of Yu. Luchko. A scholar is included among the top collaborators of Yu. Luchko based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Yu. Luchko. Yu. Luchko is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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8 of 8 papers shown

1.

Luchko, Yu., et al.. (2020). On an extension of the Mikusiński type operational calculus for the Caputo fractional derivative. Integral Transforms and Special Functions. 32(9). 710–725. 3 indexed citations

2.

Luchko, Yu.. (2019). Subordination principles for the multi-dimensional space-time-fractional diffusion-wave equation. Theory of Probability and Mathematical Statistics. 98. 127–147. 17 indexed citations

3.

Luchko, Yu., et al.. (2017). The neutral-fractional telegraph equation. Mathematical Modelling of Natural Phenomena. 12(6). 51–67. 10 indexed citations

4.

Luchko, Yu.. (2016). A New Fractional Calculus Model for the Two-dimensional Anomalous Diffusion and its Analysis. Mathematical Modelling of Natural Phenomena. 11(3). 1–17. 28 indexed citations

5.

Al-Saqabi, Bader, et al.. (2013). Comments on employing the Riesz-Feller derivative in the Schrödinger equation. The European Physical Journal Special Topics. 222(8). 1779–1794. 28 indexed citations

6.

Luchko, Yu., Michail D. Todorov, & Christo I. Christov. (2010). Fractional Calculus Models for the Anomalous Diffusion Processes and Their Analysis. AIP conference proceedings. 623–635. 1 indexed citations

7.

Luchko, Yu., et al.. (2010). The Wright Function: Its Properties, Applications, and Numerical Evaluation. AIP conference proceedings. 614–622. 7 indexed citations

8.

Diethelm, Kai, Neville J. Ford, Alan D. Freed, & Yu. Luchko. (2004). Algorithms for the fractional calculus: A selection of numerical methods. Computer Methods in Applied Mechanics and Engineering. 194(6-8). 743–773. 508 indexed citations breakdown →

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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