A Dirichlet boundary value problem for fractional monogenic functions in the Riemann-Liouville sense

DOI10.1007/S11785-020-01008-ZzbMath1446.30075OpenAlexW3035647579MaRDI QIDQ785724

D. Kharzeev

Publication date: 10 August 2020

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-020-01008-z

zbMATH Keywords

Clifford algebrasDirichlet boundary value problemfractional Cauchy-Riemann operatorfractional monogenic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Cites Work

• Explicit matrix realization of Clifford algebras
• Vekua-type systems related to two-sided monogenic functions
• A construction of matrix representation of Clifford algebras
• On Caputo modification of the Hadamard fractional derivatives
• A modified Dirac operator in parameter-dependent Clifford algebra: A physical realization
• The distinguishing boundary for monogenic functions of Clifford analysis
• Eigenfunctions and fundamental solutions of the fractional Laplace and Dirac operators: the Riemann-Liouville case
• Fractional Clifford Analysis
• Eigenfunctions and fundamental solutions of the fractional Laplace and Dirac operators using Caputo derivatives
• Gamma-lines approach in the study of global behaviour of solutions of complex differential equations
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