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Listar por palabra clave "Random mean square calculus"

Mostrando ítems 1-4 de 4

Constructing reliable approximations of the fractional Hermite equation: solution, moments and density

Burgos-Simon, Clara; Caraballo, Tomás; Cortés, J.-C.; Villafuerte, Laura; Villanueva Micó, Rafael Jacinto (Springer-Verlag, 2023-04-01)

[EN] We extend the study of the random Hermite second-order ordinary differential equation to the fractional setting. We first construct a random generalized power series that solves the equation in the mean square sense ...
Mean square convergent numerical solutions of random fractional differential equations: Approximations of moments and density

Burgos, C.; Cortés, J.-C.; Villafuerte, L.; Villanueva Micó, Rafael Jacinto (Elsevier, 2020-11)

[EN] A fractional forward Euler-like method is developed to solve initial value problems with uncertainties formulated via the Caputo fractional derivative. The analysis is conducted by using the so-called random mean ...
Solving a class of random non-autonomous linear fractional differential equations by means of a generalized mean square convergent power series

Burgos-Simon, Clara; Calatayud-Gregori, Julia; Cortés, J.-C.; Villafuerte, Laura (Elsevier, 2018)

[EN] The aim of this paper is to solve a class of non-autonomous linear fractional differential equations with random inputs. A mean square convergent series solution is constructed in the case that the fractional order a ...
Solving random fractional second-order linear equations via the mean square Laplace transform: Theory and statistical computing

Burgos-Simon, Clara; Cortés, J.-C.; Villafuerte, L.; Villanueva Micó, Rafael Jacinto (Elsevier, 2022-04-01)

[EN] This paper deals with random fractional differential equations of the form, (D0+X)-D-C-X-alpha(t) + A(X) over dot (t) + BX(t) = 0 , t > 0 , with initial conditions, X(0) = C-0 and (X) over dot(0) = C-1 , where ...

Mostrando ítems 1-4 de 4

Listar por palabra clave "Random mean square calculus"

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Listar por palabra clave "Random mean square calculus"