Fundamental solution of the time-fractional telegraph Dirac operator

Ferreira, Milton; Rodrigues, M. Manuela; Vieira, Nelson

http://hdl.handle.net/10400.8/7509

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Authors

Ferreira, Milton

Rodrigues, M. Manuela

Vieira, Nelson

Abstract(s)

n this work, we obtain the fundamental solution (FS) of the multidimensionaltime-fractional telegraph Dirac operator where the 2 time-fractional derivatives oforders𝛼∈]0,1]and𝛽∈]1,2]are in the Caputo sense. Explicit integral and seriesrepresentation of the FS are obtained for any dimension. We present and discusssome plots of the FS for some particular values of the dimension and of the frac-tional parameters𝛼and𝛽. Finally, using the FS, we study some Poisson and Cauchyproblems

Keywords

Time-fractional telegraph and telegraph Dirac operators Fundamental solution Caputo fractional derivative Multivariate Mittag-Leffler function H-function of two variables

URI

http://hdl.handle.net/10400.8/7509

Citation

Ferreira M, Rodrigues MM, Vieira N. Fundamental solution of the time-fractional telegraphDirac operator.Math Meth Appl Sci. 2017;40:7033–7050.https://doi.org/10.1002/mma.4511