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

Received 26 June 1980

Abstract

This paper extends the operational calculus of Meller for the operator Bα=tαddttα+1ddt to the case where α(0,). The development is àla Mikusinski calculus and uses Meller's convolution process with a fractional derivative operator.