ON CERTAIN DUAL q-INTEGRAL EQUATIONS

    Authors

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

    Comments

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    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

    Language

    English

    First Page

    63

    Last Page

    102

    WOS Identifier

    WOS:000353026800004

    ISSN

    0030-8730

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