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Extending the deterministic Riemann-Liouville and Caputo operators to the random framework: A mean square approach with applications to solve random fractional differential equations

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Extending the deterministic Riemann-Liouville and Caputo operators to the random framework: A mean square approach with applications to solve random fractional differential equations

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Burgos, C.; Cortés, J.; Villafuerte, L.; Villanueva Micó, RJ. (2017). Extending the deterministic Riemann-Liouville and Caputo operators to the random framework: A mean square approach with applications to solve random fractional differential equations. Chaos, Solitons and Fractals. 102:305-318. https://doi.org/10.1016/j.chaos.2017.02.008

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/105486

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Title: Extending the deterministic Riemann-Liouville and Caputo operators to the random framework: A mean square approach with applications to solve random fractional differential equations
Author: Burgos, C. Cortés, J.-C. Villafuerte, L. Villanueva Micó, Rafael Jacinto
UPV Unit: Universitat Politècnica de València. Instituto Universitario de Matemática Multidisciplinar - Institut Universitari de Matemàtica Multidisciplinària
Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Embargo end date: 2019-09-30
Abstract:
[EN] This paper extends both the deterministic fractional Riemann¿Liouville integral and the Caputo fractional derivative to the random framework using the mean square random calculus. Characterizations and sufficient conditions ...[+]
Subjects: Random mean square Riemann-Liouville integral , Random mean square Caputo derivative , Random fractional linear differential equation , Random Frobenius method
Copyrigths: Reserva de todos los derechos
Source:
Chaos, Solitons and Fractals. (issn: 0960-0779 )
DOI: 10.1016/j.chaos.2017.02.008
Publisher:
Elsevier
Publisher version: https://doi.org/10.1016/j.chaos.2017.02.008
Project ID:
info:eu-repo/grantAgreement/MINECO//MTM2013-41765-P/ES/METODOS COMPUTACIONALES PARA ECUACIONES DIFERENCIALES ALEATORIAS: TEORIA Y APLICACIONES/
Thanks:
This work has been partially supported by the Ministerio de Economia y Competitividad grant MTM2013-41765-P. The co-author Prof. L. Villafuerte acknowledges the support by Mexican Conacyt.
Type: Artículo

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