ON CERTAIN DUAL q-INTEGRAL EQUATIONS
Abbreviated Journal Title
Pac. J. Math.
q-Fourier transform; fractional q-integral operator; q-special; functions; q-dual integral equations; FRACTIONAL Q-INTEGRALS; Q-BESSEL FUNCTION; Q-DERIVATIVES; Mathematics
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.
Pacific Journal of Mathematics
"ON CERTAIN DUAL q-INTEGRAL EQUATIONS" (2015). Faculty Bibliography 2010s. 6402.