Generalized fractional Dirac type operators
Restrepo J.E. Ruzhansky M. Suragan D.
December 2023Springer Nature
Fractional Calculus and Applied Analysis
2023#26Issue 62720 - 2756 pp.
We introduce a class of fractional Dirac type operators with time variable coefficients by means of a Witt basis, the Djrbashian–Caputo fractional derivative and the fractional Laplacian, both operators defined with respect to some given functions. Direct and inverse fractional Cauchy type problems are studied for the introduced operators. We give explicit solutions of the considered fractional Cauchy type problems. We also use a recent method to recover a variable coefficient solution of some inverse fractional wave and heat type equations. Illustrative examples are provided.
Cauchy problem , Dirac type operators , Fractional integro-differential operator (primary) , Inverse problem
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Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Krijgslaan 281, Building S8, Ghent, 9000, Belgium
School of Mathematical Sciences, Queen Mary University of London, London, United Kingdom
Department of Mathematics, Nazarbayev University, Astana, Kazakhstan
Department of Mathematics: Analysis
School of Mathematical Sciences
Department of Mathematics
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