L. Villafuerte

690 total citations
32 papers, 511 citations indexed

About

L. Villafuerte is a scholar working on Modeling and Simulation, Statistics, Probability and Uncertainty and Applied Mathematics. According to data from OpenAlex, L. Villafuerte has authored 32 papers receiving a total of 511 indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Modeling and Simulation, 15 papers in Statistics, Probability and Uncertainty and 12 papers in Applied Mathematics. Recurrent topics in L. Villafuerte's work include Fractional Differential Equations Solutions (18 papers), Probabilistic and Robust Engineering Design (15 papers) and Nonlinear Differential Equations Analysis (9 papers). L. Villafuerte is often cited by papers focused on Fractional Differential Equations Solutions (18 papers), Probabilistic and Robust Engineering Design (15 papers) and Nonlinear Differential Equations Analysis (9 papers). L. Villafuerte collaborates with scholars based in Spain, United States and Mexico. L. Villafuerte's co-authors include J.‐C. Cortés, L. Jódar, Rafael J. Villanueva, Carlos A. Braumann, Benito M. Chen‐Charpentier, Francisco Javier Camacho Torregrosa, Amar Debbouche, Julia Calatayud, M.‐D. Roselló and Marc Jornet and has published in prestigious journals such as Chaos Solitons & Fractals, Applied Mathematics and Computation and Computers & Mathematics with Applications.

In The Last Decade

L. Villafuerte

31 papers receiving 483 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
L. Villafuerte Spain 13 242 228 136 111 97 32 511
Marc Jornet Spain 12 172 0.7× 150 0.7× 86 0.6× 90 0.8× 70 0.7× 87 495
Peter Straka Australia 12 313 1.3× 36 0.2× 95 0.7× 70 0.6× 34 0.4× 22 543
M. Khodabin Iran 13 417 1.7× 86 0.4× 172 1.3× 212 1.9× 72 0.7× 40 528
Julia Calatayud Spain 11 91 0.4× 113 0.5× 29 0.2× 51 0.5× 55 0.6× 55 349
Wilfried Grecksch Germany 10 131 0.5× 36 0.2× 158 1.2× 64 0.6× 29 0.3× 36 494
M. Rostami Iran 8 263 1.1× 62 0.3× 123 0.9× 137 1.2× 47 0.5× 16 369
Mohammad Ali Fariborzi Araghi Iran 15 491 2.0× 44 0.2× 207 1.5× 280 2.5× 203 2.1× 81 706
Erika Hausenblas Austria 16 104 0.4× 66 0.3× 224 1.6× 78 0.7× 27 0.3× 60 782
Marjorie G. Hahn United States 15 99 0.4× 46 0.2× 108 0.8× 33 0.3× 205 2.1× 44 610
Antonio Mura Italy 7 378 1.6× 23 0.1× 160 1.2× 183 1.6× 22 0.2× 10 463

Countries citing papers authored by L. Villafuerte

Since Specialization
Citations

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

Fields of papers citing papers by L. Villafuerte

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of L. Villafuerte

This figure shows the co-authorship network connecting the top 25 collaborators of L. Villafuerte. A scholar is included among the top collaborators of L. Villafuerte 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 L. Villafuerte. L. Villafuerte 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.
Villafuerte, L.. (2023). Solution processes for second-order linear fractional differential equations with random inhomogeneous parts. Mathematics and Computers in Simulation. 210. 17–48. 2 indexed citations
2.
Caraballo, Tomás, et al.. (2023). Constructing reliable approximations of the random fractional Hermite equation: solution, moments and density. Computational and Applied Mathematics. 42(3). 1 indexed citations
3.
Cortés, J.‐C., et al.. (2018). Solving random mean square fractional linear differential equations by generalized power series: Analysis and computing. Journal of Computational and Applied Mathematics. 339. 94–110. 5 indexed citations
4.
Calatayud, Julia, J.‐C. Cortés, Marc Jornet, & L. Villafuerte. (2018). Random non-autonomous second order linear differential equations: mean square analytic solutions and their statistical properties. Advances in Difference Equations. 2018(1). 11 indexed citations
5.
Braumann, Carlos A., J.‐C. Cortés, L. Jódar, & L. Villafuerte. (2017). On the random gamma function: Theory and computing. Journal of Computational and Applied Mathematics. 335. 142–155. 9 indexed citations
6.
Calatayud, Julia, et al.. (2017). Solving a class of random non-autonomous linear fractional differential equations by means of a generalized mean square convergent power series. Applied Mathematics Letters. 78. 95–104. 6 indexed citations
7.
Cortés, J.‐C., et al.. (2017). Mean square calculus and random linear fractional differential equations: Theory and applications. Applied Mathematics and Nonlinear Sciences. 2(2). 317–328. 19 indexed citations
8.
Cortés, J.‐C., L. Jódar, & L. Villafuerte. (2016). Mean square solution of Bessel differential equation with uncertainties. Journal of Computational and Applied Mathematics. 309. 383–395. 9 indexed citations
9.
Fatoorehchi, Hooman, Hossein Abolghasemi, L. Villafuerte, & Reza Zarghami. (2016). Oxygen diffusion in a spherical cell subject to nonlinear Michaelis–Menten kinetics: Mathematical analysis by two exact methods. International Journal of Biomathematics. 10(2). 1750025–1750025. 2 indexed citations
10.
Cortés, J.‐C., L. Jódar, & L. Villafuerte. (2015). Laguerre random differential polynomials: definition, differential and statistical properties. RiuNet (Politechnical University of Valencia). 98. 283–293. 6 indexed citations
11.
Villafuerte, L. & Benito M. Chen‐Charpentier. (2012). A random differential transform method: Theory and applications. Applied Mathematics Letters. 25(10). 1490–1494. 24 indexed citations
12.
Villafuerte, L., et al.. (2012). Analytic and numerical solutions of a Riccati differential equation with random coefficients. Journal of Computational and Applied Mathematics. 239. 208–219. 19 indexed citations
13.
Cortés, J.‐C., L. Jódar, & L. Villafuerte. (2011). Solving Riccati time-dependent models with random quadratic coefficients. Applied Mathematics Letters. 24(12). 2193–2196. 9 indexed citations
14.
Cortés, J.‐C., et al.. (2011). Solving the random Legendre differential equation: Mean square power series solution and its statistical functions. Computers & Mathematics with Applications. 61(9). 2782–2792. 12 indexed citations
15.
Cortés, J.‐C., L. Jódar, & L. Villafuerte. (2010). Numerical solution of random differential models. Mathematical and Computer Modelling. 54(7-8). 1846–1851. 9 indexed citations
16.
Cortés, J.‐C., L. Jódar, Francisco Javier Camacho Torregrosa, & L. Villafuerte. (2010). Random Airy type differential equations: Mean square exact and numerical solutions. Computers & Mathematics with Applications. 60(5). 1237–1244. 23 indexed citations
17.
Villafuerte, L., Carlos A. Braumann, J.‐C. Cortés, & L. Jódar. (2009). Random differential operational calculus: Theory and applications. Computers & Mathematics with Applications. 59(1). 115–125. 69 indexed citations
18.
Cortés, J.‐C., L. Jódar, & L. Villafuerte. (2007). Mean square numerical solution of random differential equations: Facts and possibilities. Computers & Mathematics with Applications. 53(7). 1098–1106. 40 indexed citations
19.
Cortés, J.‐C., L. Jódar, L. Villafuerte, & Rafael J. Villanueva. (2007). Computing mean square approximations of random diffusion models with source term. Mathematics and Computers in Simulation. 76(1-3). 44–48. 20 indexed citations
20.
Cortés, J.‐C., L. Jódar, & L. Villafuerte. (2006). Numerical solution of random differential equations: A mean square approach. Mathematical and Computer Modelling. 45(7-8). 757–765. 59 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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