Certain <em>k</em>-fractional calculus operators and image formulas of <em>k</em>-Struve function

D. L. Suthar; D. Baleanu; S. D. Purohit; F. Uçar; D. L. Suthar; D. Baleanu; S. D. Purohit; F. Uçar

doi:10.3934/math.2020115

AIMS Mathematics

2020, Volume 5, Issue 3: 1706-1719. doi: 10.3934/math.2020115

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Certain k-fractional calculus operators and image formulas of k-Struve function

1.
Department of Mathematics, Wollo University, P.O. Box: 1145, Dessie, Ethiopia
2.
Department of Mathematics, Cankaya University, Ankara, Turkey
3.
Institute of Space Sciences, Magurele-Bucharest, Romania
4.
Department of HEAS(Mathematics), Rajasthan Technical University, Kota-324010, India
5.
Department of Mathematics, Marmara University, TR-34722, Kadköy, Istanbul, Turkey

Received: 12 November 2019 Accepted: 18 January 2020 Published: 13 February 2020
MSC : Primary: 26A33; Secondary: 33E12, 33C45

In this article, the Saigo's k-fractional order integral and derivative operators involving k-hypergeometric function in the kernel are applied to the k-Struve function; outcome are expressed in the term of k-Wright function, which are used to present image formulas of integral transforms including beta transform. Also special cases related to fractional calculus operators and Struve functions are considered.
- extended Bessel-Maitland function,
- extended beta function,
- integral transform,
- Riemann-Liouville fractional calculus operators
Citation: D. L. Suthar, D. Baleanu, S. D. Purohit, F. Uçar. Certain k-fractional calculus operators and image formulas of k-Struve function[J]. AIMS Mathematics, 2020, 5(3): 1706-1719. doi: 10.3934/math.2020115

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Abstract

In this article, the Saigo's k-fractional order integral and derivative operators involving k-hypergeometric function in the kernel are applied to the k-Struve function; outcome are expressed in the term of k-Wright function, which are used to present image formulas of integral transforms including beta transform. Also special cases related to fractional calculus operators and Struve functions are considered.

References

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