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Browsing by Author "Trujillo, J. J."

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    Article
    A fite type result for sequental fractional differintial equations
    (Dynamic Publisher, 2010) Abdeljawad, Thabet; Baleanu, Dumitru; Jarad, Fahd; Mustafa, Octavian G.; Trujillo, J. J.
    Given the solution f of the sequential fractional differential equation aD(t)(alpha)(aD(t)(alpha) f) + P(t)f = 0, t is an element of [b, a], where -infinity < a < b < c < + infinity, alpha is an element of (1/2, 1) and P : [a, + infinity) -> [0, P(infinity)], P(infinity) < + infinity, is continuous. Assume that there exist t(1),t(2) is an element of [b, c] such that f(t(1)) = (aD(t)(alpha))(t(2)) = 0. Then, we establish here a positive lower bound for c - a which depends solely on alpha, P(infinity). Such a result might be useful in discussing disconjugate fractional differential equations and fractional interpolation, similarly to the case of (integer order) ordinary differential equations
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    Article
    Fractional calculus: A survey of useful formulas
    (Springer Heidelberg, 2013) Baleanu, Dumitru; Trujillo, J. J.; Rivero, M.; Machado, J. A. Tenreiro; Baleanu, Dumitru; 56389