Exact solution of certain differential equations of fractional order by using operational calculus
Date
2010-05-18T20:14:17Z
Authors
Luchko, Yu F.
Srivastava, H.M.
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Abstract
In the present paper the authors develop operational calculi for some particular cases of the hyper-Bessel differential operator. One of these operational calculi is used here to solve a Cauchy boundary-value problem for a certain linear equation involving the Riemann-Liouville fractional derivatives. Relevant connections are also indicated with the special cases of the equation, which were solved earlier by using other methods.