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

Abstract

In that resurch work, we find a relation of generalized fractional ABR derivative with well known k-Wright function which is defined for the variable z ∈ C, a_i , b_j ∈ C, β_j , , by the series . We have shown that the new ABR operator of generalized k-Wright, function is as well generalized k-Wright functions.

Subject Classification:

• Primary 26A33
• Secondary 33C20

Keywords:

• New Riemann-Liouville fractional derivative
• Generalized k-Wright function
• Fractional Calclus