Geodesic
Operational Calculi for the Euler Operator
Fractional calculus and applied analysis, Tome 9 (2006) no. 2, pp. 89-100.

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A direct algebraic construction of a family of operational calculi for the Euler differential operator δ = t d/dt is proposed. It extends the Mikusiński's approach to the Heaviside operational calculus for the case when the classical Duhamel convolution is replaced by the convolution ...
Keywords: Operational Calculus of Mikusiński and Heaviside, Euler Differential Operator, Duhamel Convolution, Nonlocal Boundary Value Problems, 44A40, 44A35 
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Dimovski, Ivan; Skórnik, Krystyna. Operational Calculi for the Euler Operator. Fractional calculus and applied analysis, Tome 9 (2006) no. 2, pp. 89-100. http://geodesic.mathdoc.fr/item/FCAA_2006_9_2_a0/