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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.

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

Rana Ali Muhammed Kamran , Iqra Nayab

Abstract

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.
There are 2 citations in total.

Details

Primary Language English
Journal Section Volume V Issue III 2020
Authors

Rana Ali This is me

Muhammed Kamran

Iqra Nayab This is me

Publication Date December 30, 2020
Published in Issue Year 2020 Volume: 5 Issue: 3

Cite

APA Ali, R., Kamran, M., & Nayab, I. (2020). Some results of generalized k-fractional integral operator with k-Bessel function. Turkish Journal of Science, 5(3), 157-169.
AMA Ali R, Kamran M, Nayab I. Some results of generalized k-fractional integral operator with k-Bessel function. TJOS. December 2020;5(3):157-169.
Chicago Ali, Rana, Muhammed Kamran, and Iqra Nayab. “Some Results of Generalized K-Fractional Integral Operator With K-Bessel Function”. Turkish Journal of Science 5, no. 3 (December 2020): 157-69.
EndNote Ali R, Kamran M, Nayab I (December 1, 2020) Some results of generalized k-fractional integral operator with k-Bessel function. Turkish Journal of Science 5 3 157–169.
IEEE R. Ali, M. Kamran, and I. Nayab, “Some results of generalized k-fractional integral operator with k-Bessel function”, TJOS, vol. 5, no. 3, pp. 157–169, 2020.
ISNAD Ali, Rana et al. “Some Results of Generalized K-Fractional Integral Operator With K-Bessel Function”. Turkish Journal of Science 5/3 (December 2020), 157-169.
JAMA Ali R, Kamran M, Nayab I. Some results of generalized k-fractional integral operator with k-Bessel function. TJOS. 2020;5:157–169.
MLA Ali, Rana et al. “Some Results of Generalized K-Fractional Integral Operator With K-Bessel Function”. Turkish Journal of Science, vol. 5, no. 3, 2020, pp. 157-69.
Vancouver Ali R, Kamran M, Nayab I. Some results of generalized k-fractional integral operator with k-Bessel function. TJOS. 2020;5(3):157-69.
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