Class of integrals and applications of fractional kinetic equation with the generalized multi-index Bessel function

<p style='text-indent:20px;'>In this article, we have investigated certain definite integrals and various integral transforms of the generalized multi-index Bessel function, such as Euler transform, Laplace Whittaker K-transform Fourier transforms. Also found applications problem on fractional kinetic equation pertaining to function using Sumudu transform technique. Mittage-Leffler is used express results solutions well its special cases. The obtained are significance in applied problems science, engineering technology.</p>