Geodesic
Some Special Functions in the Solution To Cauchy Problem for a Fractional Oscillating Equation
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2009), pp. 276-279

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Some special functions, concerning Mittag–Leffler type function, are introduced. The solution to Cauchy problem for some linear non-homogeneous fractional oscillating equation in terms of these functions are given.
Keywords: Mittag-Leffler type function, Rieman-Liouville's franctional integrals and derivates, Caushy problem for a fractional occilating equation. 
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     title = {Some {Special} {Functions} in the {Solution} {To} {Cauchy} {Problem} for a {Fractional} {Oscillating} {Equation}},
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E. N. Ogorodnikov; N. S. Yashagin. Some Special Functions in the Solution To Cauchy Problem for a Fractional Oscillating Equation. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2009), pp. 276-279. http://geodesic.mathdoc.fr/item/VSGTU_2009_1_a31/