Solving a class of random non-autonomous linear fractional differential equations by means of a generalized mean square convergent power series

DOI10.1016/j.aml.2017.11.009zbMath1392.34004OpenAlexW2770499216MaRDI QIDQ1693640

Juan-Carlos Cortés, L. Villafuerte, C. Burgos, J. Calatayud

Publication date: 31 January 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10251/120362

zbMATH Keywords

random fractional differential equationsrandom mean square calculus

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Applications of stochastic analysis (to PDEs, etc.) (60H30) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Linear ordinary differential equations and systems (34A30) Ordinary differential equations and systems with randomness (34F05) Nonautonomous smooth dynamical systems (37C60) Fractional ordinary differential equations (34A08)

Related Items (3)

Vector-valued functions on time scales and random differential equations ⋮ Theory and methods for random differential equations: a survey ⋮ Solvability and optimal controls of impulsive Hilfer fractional delay evolution inclusions with Clarke subdifferential

Cites Work

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