On the solutions of certain fractional kinetic equations involving $E^{\gamma,q}_{k,\alpha,\beta}(.)$

Abstract

We develop a new generalized form of the fractional kinetic equation involving a generalized k-Bessel function. The generalized $k$-Mittag-leffler function $E^{\gamma,q}_{k,\alpha,\beta}(.)$ is discussed in terms of the solution of the fractional kinetic equation in the present paper. The results obtained here are quite general in nature and capable of yielding known and as well new results.