Title
On Certain Dual Q-Integral Equations
Keywords
Fractional q-integral operator; q-dual integral equations; q-fourier transform; q-special functions
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.
Publication Date
1-1-2015
Publication Title
Pacific Journal of Mathematics
Volume
275
Issue
1
Number of Pages
63-102
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.2140/pjm.2015.275.63
Copyright Status
Unknown
Socpus ID
84929250533 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84929250533
STARS Citation
Ashour, Ola A.; Ismail, Mourad E.H.; and Mansour, Zeinab S., "On Certain Dual Q-Integral Equations" (2015). Scopus Export 2015-2019. 1068.
https://stars.library.ucf.edu/scopus2015/1068