Title

ON CERTAIN DUAL q-INTEGRAL EQUATIONS

Authors

Authors

O. A. Ashour; M. E. H. Ismail;Z. S. Mansour

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

Pac. J. Math.

Keywords

q-Fourier transform; fractional q-integral operator; q-special; functions; q-dual integral equations; FRACTIONAL Q-INTEGRALS; Q-BESSEL FUNCTION; Q-DERIVATIVES; Mathematics

Abstract

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.

Journal Title

Pacific Journal of Mathematics

Volume

275

Issue/Number

1

Publication Date

1-1-2015

Document Type

Article

DOI Link

http://dx.doi.org/10.2140/pjm.2015.275.63

Language

English

First Page

63

Last Page

102

WOS Identifier

WOS:000353026800004

ISSN

0030-8730

Recommended Citation

"ON CERTAIN DUAL q-INTEGRAL EQUATIONS" (2015). Faculty Bibliography 2010s. 6402.
https://stars.library.ucf.edu/facultybib2010/6402