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Research Article

SOME PROPERTIES OF $k$-RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATOR

R
Radhe Shyam Prajapat Department of Mathematics, M. L. V. Govt. P G College, Bhilwara - 311001, Rajasthan, INDIA
I
Indu Bala Bapna Department of Mathematics, M. L. V. Govt. P G College, Bhilwara - 311001, Rajasthan, INDIA
Volume 10, Issue 2 Pages 135-142 June 30, 2023 209 downloads
Article overview

Abstract

In this paper we will introduce some properties of $k$- Riemann Liouville fractional integral operator involving convolution property. The fractional derivative of $k$- Riemann Liouville fractional integral operator of integral transforms will be obtained. Applications of this operator will be introduced. All results of nature will be discussed as special cases.

Keywords and Phrases

Gamma functionIntegral TransformRiemann Liouville fractional integralFractional Singular Kernel.

AMS Subject Classification

26A33, 42A38, 35A22.

Reference information

How to Cite

Radhe Shyam Prajapat, Indu Bala Bapna (2023). SOME PROPERTIES OF $k$-RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATOR. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 10(2), 135-142.
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