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ON CERTAIN DUAL q-INTEGRAL EQUATIONS
Journal article   Open access  Peer reviewed

ON CERTAIN DUAL q-INTEGRAL EQUATIONS

Ola A. Ashour, Mourad E. H. Ismail and Zeinab S. Mansour
Pacific journal of mathematics, Vol.275(1), pp.63-102
01/05/2015

Abstract

Mathematics Physical Sciences Science & Technology
We consider three different systems of dual q-integral equations where the kernel is the third Jackson q-Bessel functions. We solve the first system by applying the multiplying factor method (ansatz solution) and the second by employing the fractional q-calculus, and we use the q-Mellin transform to reduce the third system to a Fredholm q-integral equation of the second kind. Examples are included.
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https://doi.org/10.2140/pjm.2015.275.63View
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