Distributional Representation of a Special Fox–Wright Function with an Application

dc.contributor.authorTassaddiq, Asifa
dc.contributor.authorSrivastava, Rekha
dc.contributor.authorKasmani, Ruhaila M.
dc.contributor.authorAlmutairi, Dalal K.
dc.date.accessioned2023-10-15T17:03:59Z
dc.date.available2023-10-15T17:03:59Z
dc.date.copyright2023en_US
dc.date.issued2023
dc.description.abstractA review of the literature demonstrates that the Fox–Wright function is not only a mathematical puzzle, but its role is naturally to represent basic physical phenomena. Motivated by this fact, we studied a new representation of this function in terms of complex delta functions. This representation was useful to compute its Laplace transform with respect to the third parameter γ for which it also generalizes the one and two-parameter Mittag-Leffler functions. New identities involving the Fox–Wright function were discussed and used to simplify the results. Different fractional transforms were evaluated and the solution of a fractional kinetic equation was obtained by using its new representation. Several new properties of this function were discussed as a distribution.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipAsifa Tassaddiq would like to thank the Deanship of Scientific Research at Majmaah University for supporting this work under Project Number No. ICR-2023-501. Then_US
dc.identifier.citationTassaddiq, A., Srivastava, R., Kasmani, R. M., & Almutairi, D. K. (2023). Distributional Representation of a Special Fox–Wright Function with an Application. Mathematics, 11(15), 3372. https://doi.org/10.3390/math11153372en_US
dc.identifier.urihttps://doi.org/10.3390/math11153372
dc.identifier.urihttp://hdl.handle.net/1828/15534
dc.language.isoenen_US
dc.publisherMathematicsen_US
dc.subjectFox-Wright functionen_US
dc.subjectMittag-Leffler functionen_US
dc.subjectfractional imagesen_US
dc.subjectH-functionen_US
dc.subjectkinetic equationen_US
dc.titleDistributional Representation of a Special Fox–Wright Function with an Applicationen_US
dc.typeArticleen_US

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