Virginia Kiryakova

4.9k total citations · 3 hit papers
74 papers, 3.6k citations indexed

About

Virginia Kiryakova is a scholar working on Modeling and Simulation, Applied Mathematics and Numerical Analysis. According to data from OpenAlex, Virginia Kiryakova has authored 74 papers receiving a total of 3.6k indexed citations (citations by other indexed papers that have themselves been cited), including 43 papers in Modeling and Simulation, 42 papers in Applied Mathematics and 29 papers in Numerical Analysis. Recurrent topics in Virginia Kiryakova's work include Fractional Differential Equations Solutions (43 papers), Mathematical functions and polynomials (32 papers) and Iterative Methods for Nonlinear Equations (27 papers). Virginia Kiryakova is often cited by papers focused on Fractional Differential Equations Solutions (43 papers), Mathematical functions and polynomials (32 papers) and Iterative Methods for Nonlinear Equations (27 papers). Virginia Kiryakova collaborates with scholars based in Bulgaria, Portugal and Germany. Virginia Kiryakova's co-authors include J. A. Tenreiro Machado, Francesco Mainardi, Yuri Luchko, Duarte Valério, Bader Al-Saqabi, Vasily E. Tarasov, Kai Diethelm, S. L. Kalla, Ismail Ali and Christo I. Christov and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Chaos Solitons & Fractals and Applied Mathematics and Computation.

In The Last Decade

Virginia Kiryakova

69 papers receiving 3.4k citations

Hit Papers

Recent history of fractional calculus 1994 2026 2004 2015 2010 1994 2022 400 800 1.2k

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Virginia Kiryakova Bulgaria 25 2.7k 1.8k 1.2k 609 478 74 3.6k
E. Capelas de Oliveira Brazil 28 2.6k 1.0× 2.1k 1.2× 973 0.8× 590 1.0× 333 0.7× 129 3.5k
Roshdi Khalil Jordan 15 2.7k 1.0× 1.2k 0.7× 927 0.7× 1.5k 2.4× 214 0.4× 82 3.4k
Varsha Daftardar‐Gejji India 33 3.5k 1.3× 1.4k 0.8× 2.2k 1.8× 1.3k 2.1× 374 0.8× 61 4.2k
Mohammed Al Horani Jordan 10 2.4k 0.9× 936 0.5× 778 0.6× 1.4k 2.3× 236 0.5× 40 2.9k
Mohammad Sababheh Jordan 13 2.3k 0.9× 1.3k 0.7× 748 0.6× 1.3k 2.2× 188 0.4× 104 3.1k
Ricardo Almeida Portugal 28 2.9k 1.1× 1.9k 1.1× 1.3k 1.1× 423 0.7× 476 1.0× 101 3.4k
Anatoly A. Kilbas Belarus 28 4.9k 1.8× 4.2k 2.4× 2.4k 1.9× 741 1.2× 624 1.3× 97 6.7k
E. Babolian Iran 38 3.4k 1.3× 1.3k 0.7× 2.5k 2.0× 627 1.0× 352 0.7× 147 4.2k
Yuri Luchko Germany 30 2.4k 0.9× 1.2k 0.7× 1.1k 0.9× 620 1.0× 123 0.3× 71 2.7k
Stevan Pilipović Serbia 27 1.4k 0.5× 1.3k 0.8× 642 0.5× 396 0.7× 384 0.8× 245 3.1k

Countries citing papers authored by Virginia Kiryakova

Since Specialization
Citations

This map shows the geographic impact of Virginia Kiryakova'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 Virginia Kiryakova with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Virginia Kiryakova more than expected).

Fields of papers citing papers by Virginia Kiryakova

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Virginia Kiryakova. 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 Virginia Kiryakova. The network helps show where Virginia Kiryakova may publish in the future.

Co-authorship network of co-authors of Virginia Kiryakova

This figure shows the co-authorship network connecting the top 25 collaborators of Virginia Kiryakova. A scholar is included among the top collaborators of Virginia Kiryakova 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 Virginia Kiryakova. Virginia Kiryakova is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Kiryakova, Virginia. (2025). Generalized fractional integrals based on the Rathie I-function as a kernel. Nonlinear Dynamics. 113(25). 34423–34437.
2.
Kiryakova, Virginia, et al.. (2024). Going Next after “A Guide to Special Functions in Fractional Calculus”: A Discussion Survey. Mathematics. 12(2). 319–319. 7 indexed citations
3.
Diethelm, Kai, Virginia Kiryakova, Yuri Luchko, J. A. Tenreiro Machado, & Vasily E. Tarasov. (2022). Trends, directions for further research, and some open problems of fractional calculus. Nonlinear Dynamics. 107(4). 3245–3270. 85 indexed citations breakdown →
4.
Kiryakova, Virginia. (2021). FCAA Related News, Events and Books (FCAA—volume 24–4–2021). Fractional Calculus and Applied Analysis. 24(4). 963–965. 1 indexed citations
5.
Kiryakova, Virginia. (2018). FCAA Related News, Events and Books (FCAA–volume 21–5–2018). Fractional Calculus and Applied Analysis. 21(5). 1139–1150. 1 indexed citations
6.
Kiryakova, Virginia, et al.. (2010). The Multi-index Mittag-Leffler Functions and Their Applications for Solving Fractional Order Problems in Applied Analysis. AIP conference proceedings. 597–613. 19 indexed citations
7.
Machado, J. A. Tenreiro, Virginia Kiryakova, & Francesco Mainardi. (2010). A Poster about the Recent History of Fractional Calculus. Fractional Calculus and Applied Analysis. 13(3). 329–334. 53 indexed citations
8.
Machado, J. A. Tenreiro, Virginia Kiryakova, & Francesco Mainardi. (2010). A Poster about the Old History of Fractional Calculus. Fractional Calculus and Applied Analysis. 13(4). 447–454. 54 indexed citations
9.
Kiryakova, Virginia. (2008). A BRIEF STORY ABOUT THE OPERATORS OF THE GENERALIZED FRACTIONAL CALCULUS. Fractional Calculus and Applied Analysis. 11(2). 203–220. 87 indexed citations
10.
Kiryakova, Virginia. (2006). On Two Saigo’s Fractional Integral Operators in the Class of Univalent Functions. Fractional Calculus and Applied Analysis. 9(2). 159–176. 39 indexed citations
11.
Saigo, Megumi, Shigeyoshi Owa, & Virginia Kiryakova. (2005). Characterization theorems for starlike and convex functions in terms of generalized fractional calculus. 58(10). 1135–1142. 1 indexed citations
12.
Kiryakova, Virginia, Megumi Saigo, & Shigeyoshi Owa. (2004). Distortion and Characterization Theorems for Generalized Fractional Integration Operators Involving H-Function in Subclasses of Univalent Functions. 34(1). 1–16. 6 indexed citations
13.
Owa, Shigeyoshi, Megumi Saigo, & Virginia Kiryakova. (2003). Inequalities for Saigo's Fractional Calculus Operator (Study on Differential Operators and Integral Operators in Univalent Function Theory). Kyoto University Research Information Repository (Kyoto University). 1341(1341). 85–93. 1 indexed citations
14.
Ali, Ismail, Virginia Kiryakova, & S. L. Kalla. (2002). Solutions of fractional multi-order integral and differential equations using a Poisson-type transform. Journal of Mathematical Analysis and Applications. 269(1). 172–199. 21 indexed citations
15.
Luchko, Yurii F. & Virginia Kiryakova. (2000). HANKEL TYPE INTEGRAL TRANSFORMS CONNECTED WITH THE HYPER-BESSEL DIFFERENTIAL OPERATORS. Banach Center Publications. 53(1). 155–165. 2 indexed citations
16.
Kiryakova, Virginia, et al.. (2000). Generalized Hankel Transforms for Hyper-Bessel Differential Operators. Comptes Rendus De L Academie Bulgare Des Sciences. 53. 8. 3 indexed citations
17.
Kiryakova, Virginia & Bader Al-Saqabi. (1999). Explicit solutions to hyper-Bessel integral equations of second kind. Computers & Mathematics with Applications. 37(1). 75–86. 27 indexed citations
18.
Kiryakova, Virginia, Megumi Saigo, & Shigeyoshi Owa. (1997). Distortion and Characterization Theorems for Starlike and Convex Functions Related to Generalized Fractional Calculus. Kyoto University Research Information Repository (Kyoto University). 1012. 25–46. 3 indexed citations
19.
Kiryakova, Virginia & Bader Al-Saqabi. (1997). Transmutation Method for Solving Erdélyi–Kober Fractional Differintegral Equations. Journal of Mathematical Analysis and Applications. 211(1). 347–364. 34 indexed citations
20.
Kiryakova, Virginia. (1988). Generalized $H_{m,m}^{m,0}$ function fractional integration operators in some classes of analytic functions. Matematički Vesnik. 40(103). 259–266. 6 indexed citations

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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