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Browsing by Subject "Caputo fractional derivative"

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  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    Existence results for random fractional differential equations
    (2014) Lupulescu, Vasile; O'Regan, Donal; Rahman, Ghaus ur
    In this paper, an existence result for a random fractional differential equation is established under a Carathéodory condition. Existence results for extremal random solutions are also proved. Finally, an existence and uniqueness result is given.
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    On fractional random differential equations with delay
    (2016) Ho, Vu; Nguyen, Ngoc Phung; Nguyen, Phuong
    In this paper, we consider the existence and uniqueness of solutions of the fractional random differential equations with delay. Moreover, some kind of boundedness of the solution is proven. Finally, the applicability of the theoretical results is illustrated with some real world examples.