A class of time-fractional Dirac type operators
Baleanu D. Restrepo J.E. Suragan D.
February 2021Elsevier Ltd
Chaos, Solitons and Fractals
2021#143
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.
Cauchy problem , Fractional integro-differential operator , inverse problem , time-fractional Dirac operators
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Department of Mathematics, Cankaya University, Ankara, Turkey
Institute of Space Sciences, Magurele–Bucharest, Romania
Department of Mathematics, Nazarbayev University, Kazakhstan
Department of Mathematics
Institute of Space Sciences
Department of Mathematics
10 лет помогаем публиковать статьи Международный издатель
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