Solving a class of random non-autonomous linear fractional differential equations by means of a generalized mean square convergent power series
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Altres documents de l'autoria: Burgos Simón, Clara; Calatayud, Julia; Cortés, Juan Carlos; Villafuerte, L.
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https://doi.org/10.1016/j.aml.2017.11.009 |
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Solving a class of random non-autonomous linear fractional differential equations by means of a generalized mean square convergent power seriesData de publicació
2017-11Editor
Elsevier Ltd.ISSN
0893-9659Cita bibliogràfica
Burgos, C., Calatayud, J., Cortés, J. C., & Villafuerte, L. (2018). 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.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://www.sciencedirect.com/science/article/pii/S0893965917303464?via%3Dihub#d1e596Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
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 ... [+]
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 of that Caputo derivative lies in using a random Fröbenius approach. The analysis is conducted by using the so-called mean square random calculus. The mean square convergence of the series solution is established assuming mild conditions on random inputs (diffusion coefficient and initial condition). We show that these conditions are satisfied for a variety of unbounded random variables. In addition, explicit expressions to approximate the mean, the variance and the covariance functions of the random series solution are given. Two full illustrative examples are shown. [-]
Publicat a
Applied Mathematics Letters, Vol. 78 (April 2018)Entitat finançadora
Ministerio de Economía y Competitividad
Codi del projecte o subvenció
MTM2013-41765-P
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© 2017 Elsevier Ltd. All rights reserved.
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