Research Article

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

Volume: 5 Number: 3 December 30, 2020
EN

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

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

Supporting Institution

University of Lahore

References

  1. 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.
  2. Diaz, R., & Pariguan, E. (2007). On hypergeometric functions and Pochhammer k-symbol. Divulg. Mat, 15(2), 179-192.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Rana Ali This is me
Pakistan

Iqra Nayab This is me
Pakistan

Publication Date

December 30, 2020

Submission Date

March 19, 2020

Acceptance Date

November 8, 2020

Published in Issue

Year 2020 Volume: 5 Number: 3

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. https://izlik.org/JA65WA56GG
AMA
1.Ali R, Kamran M, Nayab I. Some results of generalized k-fractional integral operator with k-Bessel function. TJOS. 2020;5(3):157-169. https://izlik.org/JA65WA56GG
Chicago
Ali, Rana, Muhammed Kamran, and Iqra Nayab. 2020. “Some Results of Generalized K-Fractional Integral Operator With K-Bessel Function”. Turkish Journal of Science 5 (3): 157-69. https://izlik.org/JA65WA56GG.
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
[1]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, Dec. 2020, [Online]. Available: https://izlik.org/JA65WA56GG
ISNAD
Ali, Rana - Kamran, Muhammed - Nayab, Iqra. “Some Results of Generalized K-Fractional Integral Operator With K-Bessel Function”. Turkish Journal of Science 5/3 (December 1, 2020): 157-169. https://izlik.org/JA65WA56GG.
JAMA
1.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, Dec. 2020, pp. 157-69, https://izlik.org/JA65WA56GG.
Vancouver
1.Rana Ali, Muhammed Kamran, Iqra Nayab. Some results of generalized k-fractional integral operator with k-Bessel function. TJOS [Internet]. 2020 Dec. 1;5(3):157-69. Available from: https://izlik.org/JA65WA56GG