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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2019.1
- 수록면
- 433 - 443 (11page)
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In this work, we evaluate the Mellin transform of the Marichev-Saigo-Maeda fractional integral operator with Appell's function F3 type kernel. We then discuss six special cases of the result involving the Saigo fractional integral operator, the Erdelyi- Kober fractional integral operator, the Riemann-Liouville fractional integral operator and the Weyl fractional integral operator. We obtain new and known results as special cases of our main results. Finally, we obtain the images of S-generalized Gauss hypergeometric function under the operators of our study.
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참고문헌 (22)
참고문헌 신청
A. Choudhary / 2016 / Numerical simulation of a fractional model of temperature distribution and heat flux in the semi infinite solid / Alexandria Eng. J 55(1):87~91
L. Debnath / 2007 / Integral transforms and their applications / Chapman & Hall/CRC
A. A. Kilbas / 2006 / Theory and applications of fractional differential equations / Elsevier Science Publishers
D. Kumar / 2017 / A hybrid computational approach for Klein-Gordon equations on Cantor sets / Nonlinear Dynam 87:511~517
D. Kumar / 2017 / A new analysis for fractional model of regularized long-wave equation arising in ion acoustic plasma waves / Math. Methods Appl. Sci 40(15):5642~5653
L. Debnath / 2007 / Integral transforms and their applications / Chapman & Hall/CRC
A. A. Kilbas / 2006 / Theory and applications of fractional differential equations / Elsevier Science Publishers
D. Kumar / 2017 / A hybrid computational approach for Klein-Gordon equations on Cantor sets / Nonlinear Dynam 87:511~517
D. Kumar / 2017 / A new analysis for fractional model of regularized long-wave equation arising in ion acoustic plasma waves / Math. Methods Appl. Sci 40(15):5642~5653
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