Some properties of \(k\)-Riemann-Liouville fractional integral operator. (English) Zbl 1541.26027
Summary: 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.
MSC:
| 26A33 | Fractional derivatives and integrals |
| 33B15 | Gamma, beta and polygamma functions |
| 42A38 | Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type |
| 44A10 | Laplace transform |
Keywords:
gamma function; integral transform; Riemann Liouville fractional integral; fractional singular kernelReferences:
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