Distributional Representation of a Special Fox–Wright Function with an Application
dc.contributor.author | Tassaddiq, Asifa | |
dc.contributor.author | Srivastava, Rekha | |
dc.contributor.author | Kasmani, Ruhaila M. | |
dc.contributor.author | Almutairi, Dalal K. | |
dc.date.accessioned | 2023-10-15T17:03:59Z | |
dc.date.available | 2023-10-15T17:03:59Z | |
dc.date.copyright | 2023 | en_US |
dc.date.issued | 2023 | |
dc.description.abstract | A 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.reviewstatus | Reviewed | en_US |
dc.description.scholarlevel | Faculty | en_US |
dc.description.sponsorship | Asifa Tassaddiq would like to thank the Deanship of Scientific Research at Majmaah University for supporting this work under Project Number No. ICR-2023-501. Th | en_US |
dc.identifier.citation | Tassaddiq, 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/math11153372 | en_US |
dc.identifier.uri | https://doi.org/10.3390/math11153372 | |
dc.identifier.uri | http://hdl.handle.net/1828/15534 | |
dc.language.iso | en | en_US |
dc.publisher | Mathematics | en_US |
dc.subject | Fox-Wright function | en_US |
dc.subject | Mittag-Leffler function | en_US |
dc.subject | fractional images | en_US |
dc.subject | H-function | en_US |
dc.subject | kinetic equation | en_US |
dc.title | Distributional Representation of a Special Fox–Wright Function with an Application | en_US |
dc.type | Article | en_US |