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ORCIDL. Villafuerte 0001
Person information
- affiliation: University of Texas at Austin, Department of Mathematics, USA
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2020 – today
- 2023
[j24]Clara Burgos
, Tomás Caraballo, Juan Carlos Cortés, Laura Villafuerte, Rafael-Jacinto Villanueva:
Constructing reliable approximations of the random fractional Hermite equation: solution, moments and density. Comput. Appl. Math. 42(3) (2023)- [j23]L. Villafuerte:
Solution processes for second-order linear fractional differential equations with random inhomogeneous parts. Math. Comput. Simul. 210: 17-48 (2023) - 2022
- [j22]Clara Burgos, Juan Carlos Cortés, L. Villafuerte, Rafael J. Villanueva:
Solving random fractional second-order linear equations via the mean square Laplace transform: Theory and statistical computing. Appl. Math. Comput. 418: 126846 (2022) - 2020
- [j21]Clara Burgos, Juan Carlos Cortés, L. Villafuerte, Rafael J. Villanueva:
Mean square convergent numerical solutions of random fractional differential equations: Approximations of moments and density. J. Comput. Appl. Math. 378: 112925 (2020)
2010 – 2019
- 2019
- [j20]Clara Burgos, Juan Carlos Cortés, Amar Debbouche, Laura Villafuerte, Rafael J. Villanueva:
Random fractional generalized Airy differential equations: A probabilistic analysis using mean square calculus. Appl. Math. Comput. 352: 15-29 (2019) - 2018
- [j19]Clara Burgos, Julia Calatayud Gregori, Juan Carlos Cortés, L. Villafuerte:
Solving a class of random non-autonomous linear fractional differential equations by means of a generalized mean square convergent power series. Appl. Math. Lett. 78: 95-104 (2018) - [j18]Carlos A. Braumann, Juan Carlos Cortés, Lucas Jódar, L. Villafuerte:
On the random gamma function: Theory and computing. J. Comput. Appl. Math. 335: 142-155 (2018) - [j17]Clara Burgos, Juan Carlos Cortés, Laura Villafuerte, Rafael J. Villanueva:
Solving random mean square fractional linear differential equations by generalized power series: Analysis and computing. J. Comput. Appl. Math. 339: 94-110 (2018) - 2017
- [j16]Juan Carlos Cortés, Lucas Jódar Sánchez, L. Villafuerte:
Mean square solution of Bessel differential equation with uncertainties. J. Comput. Appl. Math. 309: 383-395 (2017) - 2013
- [j15]J. A. Licea, L. Villafuerte, Benito M. Chen-Charpentier:
Analytic and numerical solutions of a Riccati differential equation with random coefficients. J. Comput. Appl. Math. 239: 208-219 (2013) - 2012
- [j14]Juan Carlos Cortés, Lucas Jódar, María Dolores Roselló, L. Villafuerte:
Solving initial and two-point boundary value linear random differential equations: A mean square approach. Appl. Math. Comput. 219(4): 2204-2211 (2012) - [j13]L. Villafuerte, Benito M. Chen-Charpentier:
A random differential transform method: Theory and applications. Appl. Math. Lett. 25(10): 1490-1494 (2012) - [j12]Lucas Jódar, Juan Carlos Cortés, Laura Villafuerte:
Random mixed hyperbolic models: Numerical analysis and computing. Math. Comput. Simul. 82(10): 1841-1852 (2012) - 2011
- [j11]J. C. Cortés, Lucas Jódar, Rafael Company, Laura Villafuerte:
Solving Riccati time-dependent models with random quadratic coefficients. Appl. Math. Lett. 24(12): 2193-2196 (2011) - [j10]Gema Calbo, Juan Carlos Cortés, Lucas Jódar, Laura Villafuerte:
Solving the random Legendre differential equation: Mean square power series solution and its statistical functions. Comput. Math. Appl. 61(9): 2782-2792 (2011) - [j9]Juan Carlos Cortés, Lucas Jódar, L. Villafuerte, Rafael Company:
Numerical solution of random differential models. Math. Comput. Model. 54(7-8): 1846-1851 (2011) - 2010
- [j8]Gema Calbo, J. C. Cortés, Lucas Jódar, L. Villafuerte:
Analytic stochastic process solutions of second-order random differential equations. Appl. Math. Lett. 23(12): 1421-1424 (2010) - [j7]L. Villafuerte, Carlos A. Braumann, J. C. Cortés, Lucas Jódar:
Random differential operational calculus: Theory and applications. Comput. Math. Appl. 59(1): 115-125 (2010) - [j6]Juan Carlos Cortés, Lucas Jódar, Francisco Camacho, Laura Villafuerte:
Random Airy type differential equations: Mean square exact and numerical solutions. Comput. Math. Appl. 60(5): 1237-1244 (2010) - [j5]J. C. Cortés, Lucas Jódar, Rafael J. Villanueva, L. Villafuerte:
Mean Square Convergent Numerical Methods for Nonlinear Random Differential Equations. Trans. Comput. Sci. 7: 1-21 (2010)
2000 – 2009
- 2009
- [j4]J. C. Cortés, Lucas Jódar, L. Villafuerte:
Random linear-quadratic mathematical models: Computing explicit solutions and applications. Math. Comput. Simul. 79(7): 2076-2090 (2009) - 2007
- [j3]Juan Carlos Cortés, Lucas Jódar, L. Villafuerte:
Mean square numerical solution of random differential equations: Facts and possibilities. Comput. Math. Appl. 53(7): 1098-1106 (2007) - [j2]Juan Carlos Cortés, Lucas Jódar, Laura Villafuerte:
Numerical solution of random differential equations: A mean square approach. Math. Comput. Model. 45(7-8): 757-765 (2007) - [j1]J. C. Cortés, Lucas Jódar, L. Villafuerte, Rafael J. Villanueva:
Computing mean square approximations of random diffusion models with source term. Math. Comput. Simul. 76(1-3): 44-48 (2007)
Coauthor Index
aka: J. C. Cortés
aka: Lucas Jódar Sánchez
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