First and second fundamental solutions of the time-fractional telegraph equation with Laplace or Dirac operators

DOI10.1007/s00006-018-0858-7zbMath1397.30037OpenAlexW2802011479MaRDI QIDQ1659524

M. Manuela Rodrigues, Nelson Vieira, Milton Ferreira

Publication date: 15 August 2018

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10400.8/3257

zbMATH Keywords

first and second fundamental solutionstime-fractional equation with Dirac operatortime-fractional equation with Laplace operator

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Fundamental solutions to PDEs (35A08) Integral representations of solutions to PDEs (35C15) Fractional partial differential equations (35R11)

Related Items (7)

A class of time-fractional Dirac type operators ⋮ Time-fractional diffusion equation with \(\psi\)-Hilfer derivative ⋮ Time-fractional telegraph equation with \(\psi\)-Hilfer derivatives ⋮ A naturally emerging bivariate Mittag-Leffler function and associated fractional-calculus operators ⋮ Time-fractional telegraph equation of distributed order in higher dimensions with hilfer fractional derivatives ⋮ Numerical analysis of two new finite difference methods for time-fractional telegraph equation ⋮ Application of the fractional Sturm-Liouville theory to a fractional Sturm-Liouville telegraph equation

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