eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2015-03-01 3 1 30 32 10.12691/tjant-3-1-7 TJANT2015317 article Mohd. Farman Ali 1 Manoj Sharma 2 Lakshmi Narayan Mishra 3 4 Vishnu N. Mishra vishnunarayanmishra@gmail.com 5 School of Mathematics and Allied Sciences, Jiwaji University, Gwalior Department of Mathematics RJIT, BSF Academy, Tekanpur, Gwalior Department of Mathematics, National Institute of Technology, Silchar - 788 010, District - Cachar (Assam), India Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat - 395 007 (Gujarat), India The object of the present paper is to establish the results of single Dirichlet average of Generalized Miller-Ross Function, using Riemann-Liouville Fractional Integral. The Generalized Miller-Ross Function can be measured as a Dirichlet average and connected with fractional calculus. In this paper the solution comes in compact form of single Dirichlet average of Generalized Miller-Ross Function. The special cases of our results are same as earlier obtained by Saxena et al. [12], for single Dirichlet average of Generalized Miller-Ross Function. http://pubs.sciepub.com/tjant/3/1/7/tjant-3-1-7.pdf Dirichlet average Generalized Miller-Ross Function fractional derivative and Fractional calculus operators