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