A direct extension of Meller's calculus

Abstract

This paper extends the operational calculus of Meller for the operator Bα=t−αddttα+1ddt to the case where α∈(0,∞). The development is àla Mikusinski calculus and uses Meller's convolution process with a fractional derivative operator.

Keywords

• operational calculus
• Mikusinski calculus
• Bessel operator
• convolution Process
• fractional derivative.