Analytical solution of the generalized space-time fractional ultra-hyperbolic differential equation. Issue 4 (3rd April 2022)

• Record Type: Journal Article
• Authors: Dorrego, Gustavo A.
• Is Part Of: Integral transforms and special functions. Volume 33:Issue 4(2022)
• Page Start: 264
• Page End: 275
• Publication Date: 2022-04-03
• Subjects: Fractional power -- ultra-hyperbolic operator -- integrals transforms -- Mittag–Leffler type function -- Fox's H-function -- Hilfer fractional derivative; 26A33 -- 33E12 -- 33E20 -- 35R11; Integral transforms -- Periodicals; Transcendental functions -- Periodicals; Transformations (Mathematics) -- Periodicals; Calculus, Integral -- Periodicals; 515
• DOI: 10.1080/10652469.2021.1928661
• Languages: English
• ISSNs: 1065-2469

Abstract

Abstract : A generalization of the ultra-hyperbolic time-fractional diffusion-wave equation introduced by the author in Dorrego [The Mittag–Leffler function and its application to the ultra-hyperbolic time-fractional diffusion-wave equation. Integral Transforms Spec. Funct. 2016;27(5):392–404] is presented and studied. The results obtained here extend the previous to the whole space R n . The problem is solved by applying the integral transforms method and the analytical solution is given by the Fox H -function. Some interesting particular cases are analysed.