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We introduce (k; s)-fractional integral operator involving (k, τ)-hypergeometric function and the Riemann-Liouville leftsided and right-sided (k; s)-fractional integral and differential operators. Then we present several useful and interesting results involving the introduced operators. Also, the results presented here, being general, are pointed out to reduce to some known results. c ©2017 All rights reserved.

Generalized hypergeometric k-functions via (k,s)-fractional calculus