Some results on the new fractional derivative of generalized k-Wright function

In that resurch work, we find a relation of generalized fractional ABR derivative with well known k- Wright function rho Psi(k)(q) (z) which is defined for the variable z is an element of C,a(i), b, is an element of,C,beta(i.) a(i) is an element of R (beta(j) alpha(i), not equal 0 i = 1, 2, 3, 4,..., p and j 1, 2, 3, 4, ..., q) and (ai + ain), (bj +beta jn) is an element of C \kZ(-) by the series rho Psi(k)(q) (z)=Sigma(infinity Pi)(n=0)i=1p Gamma k(ai + ain)zn/Pi j=1q Gamma k (bj + beta jn).We have shown that the new ABR operator of generalized k-Wright, function is as well generalized k-Wright functions.