This paper extends the operational calculus of Meller for the operator B_α=t^(-α) d/dt t^(α+1) d/dt to the case where αε(0,∞). The development is a la Mikusinski calculus and uses Meller's convolution process with a fractional derivative operator.
Wen, J. H., Zhang, M., & Yu, X. (2012). Application of Mathematical Expectation in Economical Field. Research Journal of Applied Sciences, Engineering and Technology, 4(2), 86-89. https://www.airitilibrary.com/Article/Detail?DocID=20407467-201201-201411100015-201411100015-86-89
Machado, J. A. T., Silva, M. F., Barbosa, R. S., Jesus, I. S., Reis, C. M., Marcos, M. G., & Galhano, A. F. (2010). Some Applications of Fractional Calculus in Engineering. Mathematical Problems in Engineering, 2010(), 1269-1302-173. https://doi.org/10.1155/2010/639801
梁乃崇、陳俊霖(2016)。Calculus and Endlessness。佛學與科學,17(1),1-3。https://www.airitilibrary.com/Article/Detail?DocID=16072952-201603-201604110024-201604110024-1-3