Solution of Some Integral Equations Involving Confluent k-Hypergeometric Functions

Shahid Mubeen

Department of Mathematics, University of Sargodha, Sargodha, Pakistan.

DOI: 10.4236/am.2013.47A003                

Abstract

The principle aim of this research article is to investigate the properties of k-fractional integration introduced and defined by Mubeen and Habibullah [1],and secondly to solve the integral equation of the form
, for k > 0, β > 0, y > 0, 0 < x < t < ∞,  where is the confluent k-hypergeometric functions, by using k-fractional integration.

Keywords

Linear Integral Equations; Fractional Integrals; Confluent Hypergeometric Functions

Conflicts of Interest

The authors declare no conflicts of interest.

References

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