Some results of generalized k-fractional integral operator with k-Bessel function

Year 2020, Volume: 5 Issue: 3, 157 - 169, 30.12.2020

Rana Ali Muhammed Kamran , Iqra Nayab

Abstract

In this paper, we discuss Saigo fractional integral k-operators in which Gauss Hypergeometric k-function using as a kernel, and Riemann Liouville fractional integral k-operators with the composition of power k-function and Bessel k-function of first kind. Also, we develop generalized fractional k-integral operators involving Appell k-function as its kernal with the composition of Bessel k-function and results will be establish in terms of generalized Wright Hypergeometric k-function.

Keywords

Bessel k-fuction , fractional k-integrals , Appell k-function

Supporting Institution

University of Lahore

References

• Shaktawat, B.S., Rawat, D.S. & Gupta, R.K. (2017). On generalized fractional calculus of the generalized k-bessel function. Jeneral of Rajasthan Academy of Physical Sciences 16(1-2), 9-19.
• Diaz, R., & Pariguan, E. (2007). On hypergeometric functions and Pochhammer k-symbol. Divulg. Mat, 15(2), 179-192.