The Marichev-Saigo-Maeda fractional-calculus operators involving the (p, q)-extended Bessel and Bessel-Wright functions

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dc.contributor.authorSrivastava, H.M.
dc.contributor.authorAbuJarad, Eman S. A.
dc.contributor.authorJarad, Fahd
dc.contributor.authorSrivastava, Gautam
dc.contributor.authorAbuJarad, Mohammad H. A.
dc.date.accessioned2022-11-13T14:21:24Z
dc.date.available2022-11-13T14:21:24Z
dc.date.copyright2021en_US
dc.date.issued2021
dc.description.abstractThe goal of this article is to establish several new formulas and new results related to the Marichev-Saigo-Maeda fractional integral and fractional derivative operators which are applied on the (p, q)-extended Bessel function. The results are expressed as the Hadamard product of the (p, q)- extended Gauss hypergeometric function Fp,q and the Fox-Wright function rΨs(z). Some special cases of our main results are considered. Furthermore, the (p, q)-extended Bessel-Wright function is introduced. Finally, a variety of formulas for the Marichev-Saigo-Maeda fractional integral and derivative operators involving the (p, q)-extended Bessel-Wright function is established.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationSrivastava, H. M., AbuJarad, E. S. A., Jarad, F., Srivastava, G., & AbuJarad, M. H. A. (2021). “The Marichev-Saigo-Maeda fractional-calculus operators involving the (p, q)-extended Bessel and Bessel-Wright functions.” Fractal and Fractional, 5(4), 210. https://doi.org/10.3390/fractalfract5040210en_US
dc.identifier.urihttps://doi.org/10.3390/fractalfract5040210
dc.identifier.urihttp://hdl.handle.net/1828/14451
dc.language.isoenen_US
dc.publisherFractal and Fractionalen_US
dc.subjectoperators of fractional calculus
dc.subject(p, q)-extensions of special functions
dc.subject(p, q)-extended Bessel function
dc.subject(p, q)-extended Gauss hypergeometric function
dc.subject(p, q)-extended Bessel-Wright function
dc.subjectFox-Wright function
dc.subjectMarichev-Saigo-Maeda fractional integral and fractional derivative operators
dc.subjectEuler-Darboux partial differential equation
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleThe Marichev-Saigo-Maeda fractional-calculus operators involving the (p, q)-extended Bessel and Bessel-Wright functionsen_US
dc.typeArticleen_US

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