Fredholm type integral equation with special functions

Acta Universitatis Sapientiae. Matematica

F. Ayant¹ 

关键词: multivariable H-function;    multivariable I-function;    class of multi-;    variable polynomials;    Fredholm type integral equation;    Riemann-Liouville fractional integral;    Weyl fractional integral;   

DOI  :  10.2478/ausm-2018-0001

学科分类：社会科学、人文和艺术（综合）

来源: Editura Scientia / Scientia Publishing House

【 摘 要 】

Recently Chaurasia and Gill [7], Chaurasia and Kumar [8]have solved the one-dimensional integral equation of Fredholm type in-volving the product of special functions. We solve an integral equationinvolving the product of a class of multivariable polynomials, the mul-tivariable H-function de ned by Srivastava and Panda [29, 30] and themultivariable I-function de ned by Prasad [21] by the application of frac-tional calculus theory. The results obtained here are general in nature andcapable of yielding a large number of results (known and new) scatteredin the literature.

【 授权许可】

Unknown