Fredholm type integral equation with special functions

Author:

Ayant Frdric1,Kumar Dinesh2

Affiliation:

1. Teacher in High School , France

2. College of Agriculture , Sumerpur-Pali , Agriculture University of Jodhpur , India ; Department of Mathematics & Statistics , Jai Narain Vyas University , India

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Fractional Calculus Operators Pertaining to Multivariable Aleph-function;BOL SOC PARANA MAT;2022

2. Fractional calculus pertaining to multivariable Aleph-function;Boletim da Sociedade Paranaense de Matemática;2022-01-01

3. Certain integral equation of fredholm type with special functions;São Paulo Journal of Mathematical Sciences;2021-08-04

4. Application of Fractional Operators in Modelling for Charge Carrier Transport in Amorphous Semiconductor with Multiple Trapping;International Journal of Applied and Computational Mathematics;2019-11-27

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