<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Recently Chaurasia and Gill [7], Chaurasia and Kumar [<xref ref-type="bibr" rid="j_ausm-2018-0001_ref_008_w2aab3b7ab1b6b1ab1ab8Aa">8</xref>] have solved the one-dimensional integral equation of Fredholm type involving the product of special functions. We solve an integral equation involving the product of a class of multivariable polynomials, the multivariable H-function defined by Srivastava and Panda [<xref ref-type="bibr" rid="j_ausm-2018-0001_ref_029_w2aab3b7ab1b6b1ab1ac29Aa">29</xref>, <xref ref-type="bibr" rid="j_ausm-2018-0001_ref_030_w2aab3b7ab1b6b1ab1ac30Aa">30</xref>] and the multivariable I-function defined by Prasad [<xref ref-type="bibr" rid="j_ausm-2018-0001_ref_021_w2aab3b7ab1b6b1ab1ac21Aa">21</xref>] by the application of fractional calculus theory. The results obtained here are general in nature and capable of yielding a large number of results (known and new) scattered in the literature.</p></abstract>

Recently Chaurasia and Gill [7], Chaurasia and Kumar [8] have solved the one-dimensional integral equation of Fredholm type involving the product of special functions. We solve an integral equation involving the product of a class of multivariable polynomials, the multivariable H-function defined by Srivastava and Panda [29, 30] and the multivariable I-function defined by Prasad [21] by the application of fractional calculus theory. The results obtained here are general in nature and capable of yielding a large number of results (known and new) scattered in the literature.

Fredholm type integral equation with special functions

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Fredholm type integral equation with special functions"}

Recently Chaurasia and Gill [7], Chaurasia and Kumar [8] have solved the one-dimensional integral equation of Fredholm type involving the product of special...

Fredholm type integral equation with special functions

Published Online: Sep 10, 2018

Page range: 5 - 17

Received: Aug 09, 2017

DOI: https://doi.org/10.2478/ausm-2018-0001

Keywords
multivariable H-function, multivariable I-function, class of multi-variable polynomials, Fredholm type integral equation, Riemann-Liouville fractional integral, Weyl fractional integral

© 2018 Frdric Ayant et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Fredholm type integral equation with special functions

Published Online: Sep 10, 2018

Page range: 5 - 17

Received: Aug 09, 2017

DOI: https://doi.org/10.2478/ausm-2018-0001

Keywordsmultivariable H-function, multivariable I-function, class of multi-variable polynomials, Fredholm type integral equation, Riemann-Liouville fractional integral, Weyl fractional integral

© 2018 Frdric Ayant et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
multivariable H-function, multivariable I-function, class of multi-variable polynomials, Fredholm type integral equation, Riemann-Liouville fractional integral, Weyl fractional integral