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arXiv · 1506.01127

Certain triple q-integral equations involving third Jackson $q$-Bessel functions as kernel

Z. S. Mansour·M. A. AL-Towailb
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Abstract

In this paper, we employ the fractional $q$-calculus in solving a triple system of $q$-Integral equations, where the kernel is the third Jackson $q$-Bessel functions. The solution is reduced to two simultaneous Fredholm $q$-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 $q^2$-integral equations to solve certain triple integral equations.

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Z. S. Mansour, M. A. AL-Towailb. 2015-06-03. Certain triple q-integral equations involving third Jackson $q$-Bessel functions as kernel. https://arxiv.org/abs/1506.01127

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