Marc Jornet

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All published works

Action	Title	Year	Authors
+	A general Volterra integral problem of Riemann–Liouville type	2025	Marc Jornet
+	Fractional Bateman equations in the Atangana-Baleanu sense	2024	Marc Jornet
+	Theory on New Fractional Operators Using Normalization and Probability Tools	2024	Marc Jornet
+	Closed-form solution for a mathematical extension of the multi-term fractional Bateman equations via Mikusiński operational method	2024	Marc Jornet
+	Representation and inequalities involving continuous linear functionals and fractional derivatives	2024	Marc Jornet Juan J. Nieto
+	On a nonlinear stochastic fractional differential equation of fluid dynamics	2024	Marc Jornet Juan J. Nieto
+	Analysis of the multi-term fractional Bateman equations in radioactive decay by means of Mikusiński algebraic calculus	2024	Marc Jornet
+	The Peano-Sard theorem for fractional operators with Mittag-Leffler kernel and application in classical numerical approximation	2024	Marc Jornet Juan J. Nieto
+ PDF Chat	A new lower bound for the $$\textrm{L}^2$$-norm of the Caputo fractional derivative	2024	Marc Jornet
+	On the interpretation of Caputo fractional compartmental models	2024	Julia Calatayud Marc Jornet Carla M. A. Pinto
+	Theory on Linear L-Fractional Differential Equations and a New Mittag–Leffler-Type Function	2024	Marc Jornet
+	Generalized polynomial chaos expansions for the random fractional Bateman equations	2024	Marc Jornet
+	Power-series solution of the L-fractional logistic equation	2024	Marc Jornet Juan J. Nieto
+	On the Cauchy-Kovalevskaya theorem for Caputo fractional differential equations	2024	Marc Jornet
+ PDF Chat	Theory on new fractional operators using normalization and probability tools	2024	Marc Jornet
+ PDF Chat	Theory on linear L-fractional differential equations and a new Mittag-Leffler-type function	2024	Marc Jornet
+ PDF Chat	Power-series solutions of fractional-order compartmental models	2024	Marc Jornet
+	A dynamical mathematical model for crime evolution based on a compartmental system with interactions	2024	Julia Calatayud Marc Jornet Jorge Mateu
+	A new population model for urban infestations	2023	Julia Calatayud Marc Jornet Jorge Mateu Carla M. A. Pinto
+	On the random fractional Bateman equations	2023	Marc Jornet
+ PDF Chat	A Stratonovich integral for anticipating processes	2023	Marc Jornet
+	Probabilistic analysis of a general class of nonlinear random differential equations with state-dependent impulsive terms via probability density functions	2023	Vicente J. Bevia J.‐C. Cortés Marc Jornet R.-J. Villanueva
+	Theory and methods for random differential equations: a survey	2022	Marc Jornet
+	A phenomenological model for COVID‐19 data taking into account neighboring‐provinces effect and random noise	2022	Julia Calatayud Marc Jornet Jorge Mateu
+	On the generalized logistic random differential equation: Theoretical analysis and numerical simulations with real-world data	2022	Vicente J. Bevia Julia Calatayud J.‐C. Cortés Marc Jornet
+	On the Ayed-Kuo stochastic integration for anticipating integrands	2022	Marc Jornet
+ PDF Chat	On the symmetrization and composition of nonstandard finite difference schemes as an alternative to Richardson's extrapolation	2022	Julia Calatayud Marc Jornet
+ PDF Chat	Extending the applicability of the RVT technique for the randomized radioactive decay chain model	2022	Julia Calatayud Marc Jornet
+ PDF Chat	A stochastic Bayesian bootstrapping model for COVID-19 data	2022	Julia Calatayud Marc Jornet Jorge Mateu
+ PDF Chat	Liouville’s equations for random systems	2021	Marc Jornet
+ PDF Chat	Exact solution to a multidimensional wave equation with delay	2021	Marc Jornet
+	Uncertainty quantification for the random viscous Burgers’ partial differential equation by using the differential transform method	2021	Marc Jornet
+ PDF Chat	An improvement of two nonstandard finite difference schemes for two population mathematical models	2021	Julia Calatayud Marc Jornet
+	Short comment on the construction of soliton solutions	2020	Julia Calatayud Marc Jornet
+ PDF Chat	On a stochastic logistic population model with time-varying carrying capacity	2020	Julia Calatayud J.‐C. Cortés Fábio Antonio Dorini Marc Jornet
+	Analytic solution to the generalized delay diffusion equation with uncertain inputs in the random Lebesgue sense	2020	J.‐C. Cortés Marc Jornet
+	Beyond the hypothesis of boundedness for the random coefficient of the Legendre differential equation with uncertainties	2020	Marc Jornet
+ PDF Chat	Mean Square Convergent Non-Standard Numerical Schemes for Linear Random Differential Equations with Delay	2020	Julia Calatayud J.‐C. Cortés Marc Jornet Francisco Rodríguez
+	Mathematical modeling of adulthood obesity epidemic in Spain using deterministic, frequentist and Bayesian approaches	2020	Julia Calatayud Marc Jornet
+ PDF Chat	Improving Kernel Methods for Density Estimation in Random Differential Equations Problems	2020	J.‐C. Cortés Marc Jornet
+ PDF Chat	Mathematical methods for the randomized non-autonomous Bertalanffy model	2020	Julia Calatayud Tomás Caraballo J.‐C. Cortés Marc Jornet
+ PDF Chat	On the convergence of the mild random walk algorithm to generate random one-factorizations of complete graphs	2020	Julia Calatayud Marc Jornet
+ PDF Chat	Beyond the hypothesis of boundedness for the random coefficient of Airy, Hermite and Laguerre differential equations with uncertainties	2020	Julia Calatayud J.‐C. Cortés Marc Jornet
+	Second order linear differential equations with analytic uncertainties: Stochastic analysis via the computation of the probability density function	2020	Marc Jornet Julia Calatayud Olivier Le Maı̂tre J.‐C. Cortés
+ PDF Chat	Computing the density function of complex models with randomness by using polynomial expansions and the RVT technique. Application to the SIR epidemic model	2020	Julia Calatayud J.‐C. Cortés Marc Jornet
+ PDF Chat	Constructing reliable approximations of the probability density function to the random heat PDE via a finite difference scheme	2020	Julia Calatayud J.‐C. Cortés José A. Díaz Marc Jornet
+ PDF Chat	VARIANCE REDUCTION METHODS AND MULTILEVEL MONTE CARLO STRATEGY FOR ESTIMATING DENSITIES OF SOLUTIONS TO RANDOM SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS	2020	Marc Jornet Julia Calatayud Olivier Le Maı̂tre J.‐C. Cortés
+	Second order linear differential equations with analytic uncertainties: stochastic analysis via the computation of the probability density function.	2019	Marc Jornet Julia Calatayud Olivier P. Le Ma itre J.‐C. Cortés
+	Improving the approximation of the probability density function of random nonautonomous logistic‐type differential equations	2019	Julia Calatayud J.‐C. Cortés Marc Jornet
+ PDF Chat	Density function of random differential equations via finite difference schemes: a theoretical analysis of a random diffusion-reaction Poisson-type problem	2019	Julia Calatayud J.‐C. Cortés José A. Díaz Marc Jornet
+ PDF Chat	Approximate solutions of randomized non-autonomous complete linear differential equations via probability density functions	2019	Julia Calatayud J.‐C. Cortés Marc Jornet
+ PDF Chat	On the Legendre differential equation with uncertainties at the regular‐singular point 1: L p ( Ω ) random power series solution and approximation of its statistical moments	2019	Julia Calatayud J.‐C. Cortés Marc Jornet
+ PDF Chat	Random differential equations with discrete delay	2019	Julia Calatayud J.‐C. Cortés Marc Jornet
+ PDF Chat	Improving the Approximation of the First- and Second-Order Statistics of the Response Stochastic Process to the Random Legendre Differential Equation	2019	Julia Calatayud J.‐C. Cortés Marc Jornet
+ PDF Chat	Combining Polynomial Chaos Expansions and the Random Variable Transformation Technique to Approximate the Density Function of Stochastic Problems, Including Some Epidemiological Models	2019	Julia Calatayud Benito M. Chen‐Charpentier J.‐C. Cortés Marc Jornet
+	Determinantes, ecuaciones en diferencias y funciones elementales	2019	C. Burgos Julia Calatayud J.‐C. Cortés Marc Jornet A. Navarro‐Quiles
+	Second order linear differential equations with analytic uncertainties: stochastic analysis via the computation of the probability density function	2019	Marc Jornet Julia Calatayud Olivier P. Le Ma itre J.‐C. Cortés
+ PDF Chat	Some Notes to Extend the Study on Random Non-Autonomous Second Order Linear Differential Equations Appearing in Mathematical Modeling	2018	Julia Calatayud Juan Cortés López Marc Jornet
+ PDF Chat	Uncertainty quantification for random parabolic equations with nonhomogeneous boundary conditions on a bounded domain via the approximation of the probability density function	2018	Julia Calatayud J.‐C. Cortés Marc Jornet
+ PDF Chat	Random non-autonomous second order linear differential equations: mean square analytic solutions and their statistical properties	2018	Julia Calatayud J.‐C. Cortés Marc Jornet L. Villafuerte
+ PDF Chat	The damped pendulum random differential equation: A comprehensive stochastic analysis via the computation of the probability density function	2018	Julia Calatayud J.‐C. Cortés Marc Jornet
+ PDF Chat	On the convergence of adaptive gPC for non-linear random difference equations: Theoretical analysis and some practical recommendations	2018	Julia Calatayud J.‐C. Cortés Marc Jornet
+	On the approximation of the probability density function of the randomized heat equation	2018	Julia Calatayud J.‐C. Cortés Marc Jornet
+	On the approximation of the probability density function of the randomized non-autonomous complete linear differential equation	2018	J. Catatayud J.‐C. Cortés Marc Jornet
+	Approximation of the probability density function of the randomized heat equation with non-homogeneous boundary conditions	2018	Julia Calatayud J.‐C. Cortés Marc Jornet
+	Improving the approximation of the first and second order statistics of the response process to the random Legendre differential equation	2018	Julia Calatayud J.‐C. Cortés Marc Jornet
+	Some notes to extend the study on random non-autonomous second order linear differential equations appearing in Mathematical Modeling	2018	Julia Calatayud J.‐C. Cortés Marc Jornet
+	Multivariate continuous probability distributions and partial differential equations: A simple and nice connection . .	2018	Julia Calatayud J.‐C. Cortés Marc Jornet
+	Pointwise convergence of Fourier series. Carleson’s theorem	2016	Marc Jornet
+	A Markov property for two parameter Gaussian processes.	1979	David Nualart Rodón Marc Jornet

Common Coauthors

Coauthor	Papers Together
Julia Calatayud	40
J.‐C. Cortés	32
Jorge Mateu	4
Juan J. Nieto	4
Olivier P. Le Ma itre	2
José A. Díaz	2
Vicente J. Bevia	2
Carla M. A. Pinto	2
Olivier Le Maı̂tre	2
Rafael J. Villanueva	1
Tomás Caraballo	1
Juan Cortés López	1
L. Villafuerte	1
Francisco Rodríguez	1
Fábio Antonio Dorini	1
J. Catatayud	1
David Nualart Rodón	1
C. Burgos	1
Benito M. Chen‐Charpentier	1
A. Navarro‐Quiles	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Random Differential Equations in Science and Engineering	1974	T. T. Soong J. L. Bogdanoff	27
+	Random ordinary differential equations	1970	John Lester Strand	19
+	Random differential operational calculus: Theory and applications	2009	L. Villafuerte Carlos A. Braumann J.‐C. Cortés L. Jódar	18
+ PDF Chat	Random Hermite differential equations: Mean square power series solutions and statistical properties	2011	G. Calbo J.‐C. Cortés L. Jódar	11
+ PDF Chat	Random non-autonomous second order linear differential equations: mean square analytic solutions and their statistical properties	2018	Julia Calatayud J.‐C. Cortés Marc Jornet L. Villafuerte	11
+ PDF Chat	Improving the Approximation of the First- and Second-Order Statistics of the Response Stochastic Process to the Random Legendre Differential Equation	2019	Julia Calatayud J.‐C. Cortés Marc Jornet	10
+ PDF Chat	An Introduction to Computational Stochastic PDEs	2014	Gabriel J. Lord Catherine E. Powell Tony Shardlow	10
+	Random Airy type differential equations: Mean square exact and numerical solutions	2010	J.‐C. Cortés L. Jódar Francisco Javier Camacho Torregrosa L. Villafuerte	10
+	Analytic and numerical solutions of a Riccati differential equation with random coefficients	2012	Judith Arenas Licea L. Villafuerte Benito M. Chen‐Charpentier	9
+	Statistical moments of the random linear transport equation	2008	Fábio Antonio Dorini M.C.C. Cunha	9
+ PDF Chat	The damped pendulum random differential equation: A comprehensive stochastic analysis via the computation of the probability density function	2018	Julia Calatayud J.‐C. Cortés Marc Jornet	8
+ PDF Chat	Uncertainty quantification for random parabolic equations with nonhomogeneous boundary conditions on a bounded domain via the approximation of the probability density function	2018	Julia Calatayud J.‐C. Cortés Marc Jornet	8
+	The approximate solutions of some stochastic differential equations using transformations	2004	Magdy A. El‐Tawil	8
+	Fractional radioactive decay law and Bateman equations	2021	Carlos-Antonio Cruz-López Gilberto Espinosa-Paredes	8
+	Power series solution of the fractional logistic equation	2021	Iván Area Juan J. Nieto	8
+	Random Differential Equations in Science and Engineering	1973		8
+	Epidemic models with random coefficients	2010	Benito M. Chen‐Charpentier Dan Stánescu	7
+	A review of definitions of fractional derivatives and other operators	2019	Grazielle Sales Teodoro J. A. Tenreiro Machado E. Capelas de Oliveira	7
+	Solving the random Legendre differential equation: Mean square power series solution and its statistical functions	2011	G. Calbo J.‐C. Cortés L. Jódar L. Villafuerte	7
+	Power-series solution of the L-fractional logistic equation	2024	Marc Jornet Juan J. Nieto	7
+	Laplace transform and fractional differential equations	2011	Kexue Li Jigen Peng	7
+	Modern nonlinear equations	1981	Thomas L. Saaty	7
+	Mean Square Solutions of Second-Order Random Differential Equations by Using Adomian Decomposition Method	2011	Ayad R. Khudair Abdullah A. Ameen	7
+	A random differential transform method: Theory and applications	2012	L. Villafuerte Benito M. Chen‐Charpentier	7
+	A general probabilistic solution of randomized radioactive decay chain (RDC) model using RVT technique	2020	A.M. Hussein M. M. Selim	6
+	Probability with martingales	1992	David N. Williams	6
+	The Analysis of Fractional Differential Equations	2010	Kai Diethelm	6
+ PDF Chat	Probability with Martingales	1991	David Williams	6
+ PDF Chat	Some Notes to Extend the Study on Random Non-Autonomous Second Order Linear Differential Equations Appearing in Mathematical Modeling	2018	Julia Calatayud Juan Cortés López Marc Jornet	6
+	What is a fractional derivative?	2014	Manuel Duarte Ortigueira J. A. Tenreiro Machado	5
+	Functional Analysis, Sobolev Spaces and Partial Differential Equations	2010	Haı̈m Brezis	5
+	Second order linear differential equations with analytic uncertainties: Stochastic analysis via the computation of the probability density function	2020	Marc Jornet Julia Calatayud Olivier Le Maı̂tre J.‐C. Cortés	5
+	Asymptotic Statistics	1998	Aad van der Vaart	5
+ PDF Chat	Solving Random Homogeneous Linear Second-Order Differential Equations: A Full Probabilistic Description	2016	M.-C. Casabán J.‐C. Cortés J.‐V. Romero M.‐D. Roselló	5
+	Compartmental Models in Epidemiology	2008	Fred Brauer	5
+ PDF Chat	Power-series solutions of fractional-order compartmental models	2024	Marc Jornet	5
+ PDF Chat	A Review of Definitions for Fractional Derivatives and Integral	2014	E. Capelas de Oliveira J. A. Tenreiro Machado	5
+	Mean Square Convergence of the Numerical Solution of Random Differential Equations	2014	Kazem Nouri Hassan Ranjbar	5
+	Monte Carlo: Concepts, Algorithms, and Applications	1996		5
+	Development of the General Bateman Solution using fractional calculus: A theoretical and algorithmic approach	2021	Carlos-Antonio Cruz-López Gilberto Espinosa-Paredes Juan‐Luis François	5
+ PDF Chat	Mean Square Solutions of Second-Order Random Differential Equations by Using the Differential Transformation Method	2016	Ayad R. Khudair Shatha A. Haddad Sanaa L. Khalaf	5
+ PDF Chat	Probabilistic solution of random SI-type epidemiological models using the Random Variable Transformation technique	2015	M.-C. Casabán J.‐C. Cortés J.‐V. Romero M.‐D. Roselló	5
+	Bayesian Biostatistics	2012	Emmanuel Lesaffre Andrew Lawson	5
+	Beyond the hypothesis of boundedness for the random coefficient of the Legendre differential equation with uncertainties	2020	Marc Jornet	5
+	Polynomial Chaos for random fractional order differential equations	2013	Gilberto González‐Parra Benito M. Chen‐Charpentier Abraham J. Arenas	4
+	Dispersion Analysis in Hypersonic Flight During Planetary Entry Using Stochastic Liouville Equation	2011	Abhishek Halder Raktim Bhattacharya	4
+ PDF Chat	Random differential equations with discrete delay	2019	Julia Calatayud J.‐C. Cortés Marc Jornet	4
+ PDF Chat	Generalized Memory: Fractional Calculus Approach	2018	Vasily E. Tarasov	4
+	Fractional kinetics in multi-compartmental systems	2010	Aristides Dokoumetzidis Richard L. Magin Panos Macheras	4
+ PDF Chat	Solution of Fractional Differential Equation Systems and Computation of Matrix Mittag–Leffler Functions	2018	Jun‐Sheng Duan Chen Lian	4