Abstract
The monotonicity and the representation formulae of generalized $$\mathtt {k}$$ -Bessel functions, $$W_{\nu ,c}^{\mathtt {k}}$$ , studied by SR Mondal. This paper establishes the image formulae and then extract the solutions for fractional kinetic equations, involving $$W_{\nu ,c}^{\mathtt {k}}$$ utilizing their Sumudu transforms. Some significant particular cases are then deduced and analyzed.
Highlights
Fractional calculus; k-bessel function; fractional kinetic equations; laplace transforms
The k-Bessel function of the first kind defined by the following series [30]: Jkη,ξδ (z)
SR Mondal [24] gives the new generalization of k-Bessel function Wkν,c and is defined by
Summary
Fractional calculus; k-bessel function; fractional kinetic equations; laplace transforms. The generalized Wright hypergeometric function pψq(z) is given by the series [42] SR Mondal [24] gives the new generalization of k-Bessel function Wkν,c and is defined by The Sumudu transform over the set functions
Sign-in/Register to view highlights & summary 
Submitted Version (
Free)
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call