A class of time-fractional Dirac type operators. (February 2021)

• Record Type: Journal Article
• Authors: Baleanu, Dumitru; Restrepo, Joel E.; Suragan, Durvudkhan
• Is Part Of: Chaos, solitons and fractals. Volume 143(2021)
• Publication Date: 2021-02
• Subjects: Fractional integro-differential operator -- Cauchy problem -- time-fractional Dirac operators -- inverse problem; 47G20 -- 35R11 -- 35R30; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2020.110590
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: By using a Witt basis, a new class of time-fractional Dirac type operators with time-variable coefficients is introduced. These operators lead to considering a wide range of fractional Cauchy problems. Solutions of the considered general fractional Cauchy problems are given explicitly. The representations of the solutions can be used efficiently for analytic and computational purposes. We apply the obtained representation of a solution to recover a variable coefficient solution of an inverse fractional Cauchy problem. Some concrete examples are given to show the diversity of the obtained results.