Operational Calculus of Mikusiński and Heaviside Euler Differential Operator Duhamel Convolution Nonlocal Boundary Value Problems 44A40 44A35
Issue Date:
2006
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Fractional Calculus and Applied Analysis, Vol. 9, No 2, (2006), 89p-100p
Abstract:
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 ...