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

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 99

Volume : 10 , Issue : 2
DOI: https://doi.org/10.56827/JRSMMS.2023.1002.10
Author :
Radhe Shyam Prajapat (Department of Mathematics, M. L. V. Govt. P G College, Bhilwara - 311001, Rajasthan, INDIA)
Indu Bala Bapna (Department of Mathematics, M. L. V. Govt. P G College, Bhilwara - 311001, Rajasthan, INDIA)

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 function, Integral Transform, Riemann Liouville fractional integral, Fractional Singular Kernel.

A.M.S. subject classification

26A33, 42A38, 35A22.

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