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First and second fundamental solutions of the time-fractional telegraph equation of order 2α
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Orientador(es)
Resumo(s)
In this work we obtain the first and second fundamental solutions of the multidimensional time-fractional equation of order 2α, α ∈]0, 1], where the two time-fractional derivatives are in the Caputo sense. We obtain representations of the fundamental solutions in terms of Hankel transform, double Mellin-Barnes integral, and H-functions of two variables. As an application, the fundamental solutions are used to solve a Cauchy problem and to study telegraph process with Brownian time.
Descrição
Palavras-chave
Time-fractional equation Telegraph equation Dirac operator Caputo fractional derivative H-functions Multidimensional time-fractional equation Mittag-Leffler functions
Contexto Educativo
Citação
M. Ferreira, M. M. Rodrigues, and N. Vieira, First and second fundamental solutions of the time-fractional telegraph equation of order 2α, AIP Conference Proceedings ICNPAA 2018 World Congress, 2046, 020079 (2018)
Editora
AIP Publishing