Browsing by Author "Trujillo, J. J."

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Citation - WoS: 6
A Fite Type Result for Sequential Fractional Differential Equations
(Dynamic Publishers, inc, 2010) Abdeljawad, Thabet; Abdeljawad, T.; Baleanu, Dumitru; Baleanu, D.; Jarad, Fahd; Jarad, Fahd; Mustafa, O. G.; Trujillo, J. J.; Matematik
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.
Citation - WoS: 192
Citation - Scopus: 219
Fractional Calculus: a Survey of Useful Formulas
(Springer Heidelberg, 2013) Trujillo, J. J.; Rivero, M.; Machado, J. A. T.; Baleanu, D.; Valerio, D.
This paper presents a survey of useful, established formulas in Fractional Calculus, systematically collected for reference purposes.