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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 5 (1982), Issue 4, Pages 785-791
doi:10.1155/S0161171282000726

A direct extension of Meller's calculus

E.L. Koh

University of Petroleum and Minerals, Dhahran, Saudi Arabia

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.