Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 3 1 2015 03 01 Dirichlet Average of Generalized Miller-Ross Function and Fractional Derivative 30 32 EN Mohd. Farman Ali Manoj Sharma Lakshmi Narayan Mishra Vishnu N. Mishra Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat - 395 007 (Gujarat), India TJANT2015317 10.12691/tjant-3-1-7 2014 12 19 2015 01 14 2015 03 01 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.