On the new computable solution of the generalized fractional kinetic equations involving the generalized function for the fractional calculus and related functions

Details On the new computable solution of the generalized fractional kinetic equations involving the generalized function for the fractional calculus and related functions On the new computable solution of the generalized fractional kinetic equations involving the generalized function for the fractional calculus and related functions

Oct 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008ap%26ss.317..213c&link_type=abstract

Astrophysics and Space Science, Volume 317, Issue 3-4, pp. 213-219

Astronomy and Astrophysics

Astrophysics

2

Scientific paper

In view of the usefulness and a great importance of the kinetic equation in certain astrophysical problems the authors develop a new and further generalized form of the fractional kinetic equation involving the G-function, a generalized function for the fractional calculus. This new generalization can be used for the computation of the change of chemical composition in stars like the Sun. The Mellin-Barnes contour integral representation of the G-function is also established. The manifold generality of the G-function is discussed in terms of the solution of the above fractional kinetic equation. A compact and easily computable solution is established. Special cases, involving the generalized Mittag-leffler function and the R-function, are considered. The obtained results imply more precisely the known results.

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