Certain triple q-integral equations involving third Jackson $q$-Bessel functions as kernel
Mathematical Physics
2015-06-04 v1 math.MP
Abstract
In this paper, we employ the fractional -calculus in solving a triple system of -Integral equations, where the kernel is the third Jackson -Bessel functions. The solution is reduced to two simultaneous Fredholm -integral equation of the second kind. Examples are included. We also apply a result in~[Pacific J. Math. \textbf{275}(1) (2015)63--102] for solutions of dual -integral equations to solve certain triple integral equations.
Cite
@article{arxiv.1506.01127,
title = {Certain triple q-integral equations involving third Jackson $q$-Bessel functions as kernel},
author = {Z. S. Mansour and M. A. AL-Towailb},
journal= {arXiv preprint arXiv:1506.01127},
year = {2015}
}