Edit Profile (opens in new tab) Villafuerte, Laura Co-Author Distance Author ID: villafuerte.laura Published as: Villafuerte, L.; Villafuerte, Laura Documents Indexed: 34 Publications since 2006 Co-Authors: 18 Co-Authors with 33 Joint Publications 485 Co-Co-Authors all top 5 Co-Authors 1 single-authored 29 Cortés López, Juan Carlos 19 Jódar Sanchez, Lucas Antonio 8 Burgos, Clara 8 Villanueva, Rafael-Jacinto 3 Calatayud, Julia 2 Braumann, Carlos A. 2 Calbo, Gema 2 Chen-Charpentier, Benito Miguel 2 Company, Rafael 2 Jornet, Marc 1 Abolghasemi, Hossein 1 Caraballo Garrido, Tomás 1 Debbouche, Amar 1 Fatoorehchi, Hooman 1 Felipe, Raúl 1 Licea, J. A. 1 Roselló, María Dolores 1 Zarghami, Reza all top 5 Serials 5 Journal of Computational and Applied Mathematics 4 Computers & Mathematics with Applications 4 Mathematics and Computers in Simulation 4 Applied Mathematics Letters 3 Applied Mathematics and Computation 2 Mathematical and Computer Modelling 1 Mathematical Methods in the Applied Sciences 1 Chaos, Solitons and Fractals 1 Mathematica Pannonica 1 Computational and Applied Mathematics 1 Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 International Journal of Biomathematics all top 5 Fields 30 Probability theory and stochastic processes (60-XX) 25 Ordinary differential equations (34-XX) 20 Numerical analysis (65-XX) 3 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Biology and other natural sciences (92-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 362 times in 174 Documents Cited by ▼ Year ▼ Random differential operational calculus: theory and applications. Zbl 1189.60126 Villafuerte, L.; Braumann, C. A.; Cortés, J.-C.; Jódar, L. 56 2010 Numerical solution of random differential equations: a mean square approach. Zbl 1140.65012 Cortés, J. C.; Jódar, L.; Villafuerte, L. 40 2007 Mean square numerical solution of random differential equations: Facts and possibilities. Zbl 1127.65003 Cortés, J. C.; Jódar, L.; Villafuerte, L. 27 2007 Random linear-quadratic mathematical models: Computing explicit solutions and applications. Zbl 1183.65005 Cortés, J. C.; Jódar, L.; Villafuerte, L. 25 2009 Random Airy type differential equations: mean square exact and numerical solutions. Zbl 1201.60068 Cortés, J.-C.; Jódar, L.; Camacho, F.; Villafuerte, L. 19 2010 Random fractional generalized Airy differential equations: a probabilistic analysis using mean square calculus. Zbl 1428.34010 Burgos, C.; Cortés, J.-C.; Debbouche, A.; Villafuerte, L.; Villanueva, R.-J. 18 2019 A random differential transform method: theory and applications. Zbl 1251.65005 Villafuerte, L.; Chen-Charpentier, B. M. 15 2012 Computing mean square approximations of random diffusion models with source term. Zbl 1135.65301 Cortés, J. C.; Jódar, L.; Villafuerte, L.; Villanueva, R. J. 15 2007 Extending the deterministic Riemann-Liouville and Caputo operators to the random framework: A mean square approach with applications to solve random fractional differential equations. Zbl 1374.34317 Burgos, C.; Cortés, J.-C.; Villafuerte, L.; Villanueva, R.-J. 13 2017 Analytic and numerical solutions of a Riccati differential equation with random coefficients. Zbl 1255.65023 Licea, J. A.; Villafuerte, L.; Chen-Charpentier, B. M. 13 2013 Random non-autonomous second order linear differential equations: mean square analytic solutions and their statistical properties. Zbl 1448.34118 Calatayud, J.; Cortés, J.-C.; Jornet, M.; Villafuerte, L. 12 2018 Solving initial and two-point boundary value linear random differential equations: a mean square approach. Zbl 1298.34103 Cortés, J.-C.; Jódar, L.; Roselló, M.-D.; Villafuerte, L. 11 2012 Numerical solution of random differential initial value problems: multistep methods. Zbl 1206.65019 Cortés, J. C.; Jódar, L.; Villafuerte, L. 10 2011 Mean square convergent numerical solutions of random fractional differential equations: approximations of moments and density. Zbl 1503.65009 Burgos, C.; Cortés, J.-C.; Villafuerte, L.; Villanueva, R.-J. 10 2020 Mean square solution of Bessel differential equation with uncertainties. Zbl 1353.60061 Cortés, J.-C.; Jódar, L.; Villafuerte, L. 9 2017 Solving the random Legendre differential equation: mean square power series solution and its statistical functions. Zbl 1221.65008 Calbo, G.; Cortés, J.-C.; Jódar, L.; Villafuerte, L. 9 2011 Solving Riccati time-dependent models with random quadratic coefficients. Zbl 1252.65013 Cortés, J.-C.; Jódar, L.; Company, R.; Villafuerte, L. 7 2011 A mean square chain rule and its application in solving the random Chebyshev differential equation. Zbl 1362.60054 Cortés, J.-C.; Villafuerte, L.; Burgos, C. 7 2017 On the random gamma function: theory and computing. Zbl 1440.60059 Braumann, C. A.; Cortés, J.-C.; Jódar, L.; Villafuerte, L. 7 2018 Solving a class of random non-autonomous linear fractional differential equations by means of a generalized mean square convergent power series. Zbl 1392.34004 Burgos, C.; Calatayud, J.; Cortés, J.-C.; Villafuerte, L. 5 2018 Solving random mean square fractional linear differential equations by generalized power series: analysis and computing. Zbl 1434.60135 Burgos, C.; Cortés, J.-C.; Villafuerte, L.; Villanueva, R. J. 5 2018 Analytic stochastic process solutions of second-order random differential equations. Zbl 1402.60083 Calbo, G.; Cortés, J.-C.; Jódar, L.; Villafuerte, L. 5 2010 Solving random fractional second-order linear equations via the mean square Laplace transform: theory and statistical computing. Zbl 1510.34006 Burgos, C.; Cortés, J.-C.; Villafuerte, L.; Villanueva, R. J. 5 2022 Mean square convergent numerical methods for nonlinear random differential equations. Zbl 1275.65005 Cortés, J.-C.; Jódar, L.; Villanueva, R.-J.; Villafuerte, L. 4 2010 Random mixed hyperbolic models: numerical analysis and computing. Zbl 1255.65022 Jódar, L.; Cortés, J.-C.; Villafuerte, L. 4 2012 Oxygen diffusion in a spherical cell subject to nonlinear Michaelis-Menten kinetics: mathematical analysis by two exact methods. Zbl 1355.92044 Fatoorehchi, Hooman; Abolghasemi, Hossein; Villafuerte, Laura; Zarghami, Reza 2 2017 Numerical solution of random differential models. Zbl 1235.65008 Cortés, J.-C.; Jódar, L.; Villafuerte, L.; Company, R. 2 2011 A discrete eigenfunctions method for numerical solution of random diffusion models. Zbl 1156.35306 Jódar, L.; Cortés, J. C.; Villafuerte, L. 2 2006 A random Euler method for solving differential equations with uncertainties. Zbl 1308.65012 Cortés López, Juan Carlos; Jódar, L.; Villafuerte, L. 2 2008 Solution processes for second-order linear fractional differential equations with random inhomogeneous parts. Zbl 1540.60127 Villafuerte, L. 2 2023 Is it worthwhile considering orthogonality in generalised polynomial chaos expansions applied to solving stochastic models? Zbl 1491.60072 Calatayud, Julia; Cortés, J.-C.; Jornet, Marc; Villafuerte, Laura 1 2020 Solution processes for second-order linear fractional differential equations with random inhomogeneous parts. Zbl 1540.60127 Villafuerte, L. 2 2023 Solving random fractional second-order linear equations via the mean square Laplace transform: theory and statistical computing. Zbl 1510.34006 Burgos, C.; Cortés, J.-C.; Villafuerte, L.; Villanueva, R. J. 5 2022 Mean square convergent numerical solutions of random fractional differential equations: approximations of moments and density. Zbl 1503.65009 Burgos, C.; Cortés, J.-C.; Villafuerte, L.; Villanueva, R.-J. 10 2020 Is it worthwhile considering orthogonality in generalised polynomial chaos expansions applied to solving stochastic models? Zbl 1491.60072 Calatayud, Julia; Cortés, J.-C.; Jornet, Marc; Villafuerte, Laura 1 2020 Random fractional generalized Airy differential equations: a probabilistic analysis using mean square calculus. Zbl 1428.34010 Burgos, C.; Cortés, J.-C.; Debbouche, A.; Villafuerte, L.; Villanueva, R.-J. 18 2019 Random non-autonomous second order linear differential equations: mean square analytic solutions and their statistical properties. Zbl 1448.34118 Calatayud, J.; Cortés, J.-C.; Jornet, M.; Villafuerte, L. 12 2018 On the random gamma function: theory and computing. Zbl 1440.60059 Braumann, C. A.; Cortés, J.-C.; Jódar, L.; Villafuerte, L. 7 2018 Solving a class of random non-autonomous linear fractional differential equations by means of a generalized mean square convergent power series. Zbl 1392.34004 Burgos, C.; Calatayud, J.; Cortés, J.-C.; Villafuerte, L. 5 2018 Solving random mean square fractional linear differential equations by generalized power series: analysis and computing. Zbl 1434.60135 Burgos, C.; Cortés, J.-C.; Villafuerte, L.; Villanueva, R. J. 5 2018 Extending the deterministic Riemann-Liouville and Caputo operators to the random framework: A mean square approach with applications to solve random fractional differential equations. Zbl 1374.34317 Burgos, C.; Cortés, J.-C.; Villafuerte, L.; Villanueva, R.-J. 13 2017 Mean square solution of Bessel differential equation with uncertainties. Zbl 1353.60061 Cortés, J.-C.; Jódar, L.; Villafuerte, L. 9 2017 A mean square chain rule and its application in solving the random Chebyshev differential equation. Zbl 1362.60054 Cortés, J.-C.; Villafuerte, L.; Burgos, C. 7 2017 Oxygen diffusion in a spherical cell subject to nonlinear Michaelis-Menten kinetics: mathematical analysis by two exact methods. Zbl 1355.92044 Fatoorehchi, Hooman; Abolghasemi, Hossein; Villafuerte, Laura; Zarghami, Reza 2 2017 Analytic and numerical solutions of a Riccati differential equation with random coefficients. Zbl 1255.65023 Licea, J. A.; Villafuerte, L.; Chen-Charpentier, B. M. 13 2013 A random differential transform method: theory and applications. Zbl 1251.65005 Villafuerte, L.; Chen-Charpentier, B. M. 15 2012 Solving initial and two-point boundary value linear random differential equations: a mean square approach. Zbl 1298.34103 Cortés, J.-C.; Jódar, L.; Roselló, M.-D.; Villafuerte, L. 11 2012 Random mixed hyperbolic models: numerical analysis and computing. Zbl 1255.65022 Jódar, L.; Cortés, J.-C.; Villafuerte, L. 4 2012 Numerical solution of random differential initial value problems: multistep methods. Zbl 1206.65019 Cortés, J. C.; Jódar, L.; Villafuerte, L. 10 2011 Solving the random Legendre differential equation: mean square power series solution and its statistical functions. Zbl 1221.65008 Calbo, G.; Cortés, J.-C.; Jódar, L.; Villafuerte, L. 9 2011 Solving Riccati time-dependent models with random quadratic coefficients. Zbl 1252.65013 Cortés, J.-C.; Jódar, L.; Company, R.; Villafuerte, L. 7 2011 Numerical solution of random differential models. Zbl 1235.65008 Cortés, J.-C.; Jódar, L.; Villafuerte, L.; Company, R. 2 2011 Random differential operational calculus: theory and applications. Zbl 1189.60126 Villafuerte, L.; Braumann, C. A.; Cortés, J.-C.; Jódar, L. 56 2010 Random Airy type differential equations: mean square exact and numerical solutions. Zbl 1201.60068 Cortés, J.-C.; Jódar, L.; Camacho, F.; Villafuerte, L. 19 2010 Analytic stochastic process solutions of second-order random differential equations. Zbl 1402.60083 Calbo, G.; Cortés, J.-C.; Jódar, L.; Villafuerte, L. 5 2010 Mean square convergent numerical methods for nonlinear random differential equations. Zbl 1275.65005 Cortés, J.-C.; Jódar, L.; Villanueva, R.-J.; Villafuerte, L. 4 2010 Random linear-quadratic mathematical models: Computing explicit solutions and applications. Zbl 1183.65005 Cortés, J. C.; Jódar, L.; Villafuerte, L. 25 2009 A random Euler method for solving differential equations with uncertainties. Zbl 1308.65012 Cortés López, Juan Carlos; Jódar, L.; Villafuerte, L. 2 2008 Numerical solution of random differential equations: a mean square approach. Zbl 1140.65012 Cortés, J. C.; Jódar, L.; Villafuerte, L. 40 2007 Mean square numerical solution of random differential equations: Facts and possibilities. Zbl 1127.65003 Cortés, J. C.; Jódar, L.; Villafuerte, L. 27 2007 Computing mean square approximations of random diffusion models with source term. Zbl 1135.65301 Cortés, J. C.; Jódar, L.; Villafuerte, L.; Villanueva, R. J. 15 2007 A discrete eigenfunctions method for numerical solution of random diffusion models. Zbl 1156.35306 Jódar, L.; Cortés, J. C.; Villafuerte, L. 2 2006 all cited Publications top 5 cited Publications all top 5 Cited by 214 Authors 68 Cortés López, Juan Carlos 29 Jódar Sanchez, Lucas Antonio 28 Jornet, Marc 23 Villafuerte, Laura 20 Calatayud, Julia 14 Casabán, María Consuelo 14 Villanueva, Rafael-Jacinto 12 Roselló, María Dolores 11 Burgos, Clara 11 Romero, José Vicente 10 Navarro Quiles, Ana 8 Khodabin, Morteza 6 Company, Rafael 6 Heydari, Mohammad Hossein 6 Maleknejad, Khosrow 5 Calbo, Gema 5 Cattani, Carlo 5 Debbouche, Amar 5 Hooshmandasl, Mohammad Reza 5 Nouri, Kazem 5 Rostami, Majid 4 Abdalla, Mohamed 4 Dorini, Fábio Antonio 4 Torkzadeh, Leila 3 Akel, Mohamed S. 3 Bakhet, Ahmed 3 Bevia, Vicente J. 3 He, Fuli 3 Mohammadi, Fakhrodin 3 Ngo Van Hoa 3 Nouri, Mostafa 3 Ranjbar, Hassan 3 Vu, Ho 2 Abbas, Syed 2 Braumann, Carlos A. 2 Bresch-Pietri, Delphine 2 Caraballo Garrido, Tomás 2 Chakraverty, Snehashish 2 Chen-Charpentier, Benito Miguel 2 Cunha, Maria Cristina C. 2 Hashemi, Bentol Hoda 2 Kong, SiJia 2 Maalek Ghaini, F. M. 2 Merdan, Mehmet 2 Mirzaee, Farshid 2 Sun, Ji Tao 2 Zhang, Shuorui 1 Abbas, Said 1 Abbasi, Behzad 1 Abd-Elmageed, Hala 1 Adhami, Parastoo 1 Afshari, A. H. 1 Ahmad, Bashir 1 Akinlar, Mehmet Ali 1 Arenas, Abraham J. 1 Asgari, Mahnaz 1 Askari-Hemmat, Ataollah 1 Assanova, Anar Turmaganbetkyzy 1 Aydinlik, Soner 1 Azhar, Waqas Ali 1 Bakirova, Elmira A. 1 Balachandar, S. Raja 1 Balasubramanian, K. 1 Barradas, Ignacio 1 Bartual, Maria Consuelo Casabán 1 Bekiryazici, Zafer 1 Benchohra, Mouffak 1 Benyoub, Mohammed 1 Bhattacharjee, Satarupa 1 Bohner, Martin J. 1 Boulaaras, Salah Mahmoud 1 Boutarfa, Bariza 1 Braverman, Elena 1 Burgos Simón, Clara 1 Calatayud Gregori, Julia 1 Cao, Yanzhao 1 Carbonell, Felix 1 Cardoso, João R. 1 Carroll, Cody 1 Castro, M. Ángeles 1 Celik, Esra 1 Chen, Han 1 Chen, Yaqing 1 Criado, Regino 1 Dahmani, Zoubir 1 Deilami Azodi, H. 1 Delgadillo-Aleman, Sandra Elizabeth 1 Dhama, Soniya 1 Dhayal, Rajesh 1 Dong, Le Si 1 Dong, Nguyen Phuong 1 Dubey, Paromita 1 Dwivedi, Ravi 1 Egorova, Vera N. 1 El-Beltagy, Mohamed A. 1 El-Tawil, Magdy A. 1 Etman, Ahmed 1 Ezzati, Reza 1 Gajardo, Álvaro 1 García-Mora, Belén ...and 114 more Authors all top 5 Cited in 67 Serials 13 Mathematical Methods in the Applied Sciences 12 Journal of Computational and Applied Mathematics 10 Applied Mathematics and Computation 9 Chaos, Solitons and Fractals 9 Mathematics and Computers in Simulation 8 Computers & Mathematics with Applications 8 Mediterranean Journal of Mathematics 7 Computational and Applied Mathematics 6 Communications in Nonlinear Science and Numerical Simulation 5 Stochastic Analysis and Applications 4 Applied Mathematics Letters 4 Abstract and Applied Analysis 3 Journal of Computational Physics 3 Linear and Multilinear Algebra 3 Mathematical and Computer Modelling 3 Applied Mathematical Modelling 3 International Journal of Computer Mathematics 3 Advances in Difference Equations 3 Discrete and Continuous Dynamical Systems. Series S 3 Mathematical Sciences 2 BIT 2 Numerical Algorithms 2 Fractals 2 Afrika Matematika 2 Computational Methods for Differential Equations 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Automatica 1 Jnanabha 1 Mathematica Slovaca 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Quaestiones Mathematicae 1 Applied Numerical Mathematics 1 Communications in Statistics. Theory and Methods 1 Applied Mathematics. Series B (English Edition) 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of the Egyptian Mathematical Society 1 Turkish Journal of Mathematics 1 Georgian Mathematical Journal 1 Random Operators and Stochastic Equations 1 Journal of Mathematical Chemistry 1 Mathematical Problems in Engineering 1 Differential Equations and Dynamical Systems 1 Nonlinear Dynamics 1 Soft Computing 1 Chaos 1 Methodology and Computing in Applied Probability 1 Qualitative Theory of Dynamical Systems 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Mathematical Modelling and Analysis 1 Kragujevac Journal of Mathematics 1 Journal of Systems Science and Complexity 1 International Journal of Computational Methods 1 Stochastics 1 Nonlinear Analysis. Hybrid Systems 1 International Journal of Biomathematics 1 S\(\vec{\text{e}}\)MA Journal 1 Journal of Applied Analysis and Computation 1 Journal of Linear and Topological Algebra 1 Journal of Function Spaces 1 Iranian Journal of Numerical Analysis and Optimization 1 Open Mathematics 1 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Moroccan Journal of Pure and Applied Analysis 1 Applied Mathematics and Nonlinear Sciences 1 Wavelets and Linear Algebra all top 5 Cited in 30 Fields 112 Probability theory and stochastic processes (60-XX) 82 Numerical analysis (65-XX) 77 Ordinary differential equations (34-XX) 29 Partial differential equations (35-XX) 17 Biology and other natural sciences (92-XX) 16 Integral equations (45-XX) 11 Real functions (26-XX) 11 Systems theory; control (93-XX) 10 Special functions (33-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Operator theory (47-XX) 6 Difference and functional equations (39-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Statistics (62-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Abstract harmonic analysis (43-XX) 3 Integral transforms, operational calculus (44-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Number theory (11-XX) 2 Functions of a complex variable (30-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year