A class of time-fractional Dirac type operators

Dumitru Baleanu, Joel E. Restrepo and Durvudkhan Suragan

Chaos, Solitons & Fractals, 2021, vol. 143, issue C

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.

Keywords: Fractional integro-differential operator; Cauchy problem; time-fractional Dirac operators; inverse problem (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:143:y:2021:i:c:s0960077920309814

DOI: 10.1016/j.chaos.2020.110590

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