On certain dual q-integral equations

Ola A. Ashour; Mourad E.H. Ismail; Zeinab S. Mansour

doi:10.2140/pjm.2015.275.63

On certain dual q-integral equations

Ola A. Ashour
, Mourad E.H. Ismail
, Zeinab S. Mansour

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English
Pages (from-to)	63-102
Number of pages	40
Journal	Pacific Journal of Mathematics
Volume	275
Issue number	1
DOIs	https://doi.org/10.2140/pjm.2015.275.63
State	Published - 2015
Externally published	Yes

Keywords

Fractional q-integral operator
q-dual integral equations
q-fourier transform
q-special functions

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10.2140/pjm.2015.275.63

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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.",

keywords = "Fractional q-integral operator, q-dual integral equations, q-fourier transform, q-special functions",

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AU - Ashour, Ola A.

AU - Ismail, Mourad E.H.

AU - Mansour, Zeinab S.

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - Fractional q-integral operator

KW - q-dual integral equations

KW - q-fourier transform

KW - q-special functions

UR - https://www.scopus.com/pages/publications/84929250533

U2 - 10.2140/pjm.2015.275.63

DO - 10.2140/pjm.2015.275.63

M3 - Article

AN - SCOPUS:84929250533

SN - 0030-8730

VL - 275

SP - 63

EP - 102

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 1

ER -

On certain dual q-integral equations

Abstract

Keywords

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