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Advances in Applied Clifford Algebras(2)
Complex Analysis and Operator Theory(1)
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A Dirichlet Boundary Value Problem for Fractional Monogenic Functions in the Riemann–Liouville Sense
ArticleAbstract: This paper solves the Dirichlet boundary value problem of distinguishing domains for Clifford fractiPalabras claves:Dirichlet boundary value problem, Fractional Cauchy–Riemann operator, Fractional monogenic functions, Matrix representation of Clifford algebrasAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, David Armendáriz, Johan CeballosFuentes:googlescopusFundamental Solution for Natural Powers of the Fractional Laplace and Dirac Operators in the Riemann–Liouville Sense
ArticleAbstract: In this paper, we study the fundamental solution of natural powers of the n-parameter fractional LapPalabras claves:Fractional Clifford analysis, fractional derivatives, fundamental solution, Laplace transform, Poisson’s equationAutores:Antonio Nicola Di Teodoro, Ferreira M., Vieira N.Fuentes:scopusFundamental Solutions for the First Order Meta-Monogenic Operator
ArticleAbstract: Using Clifford-type algebras depending on parameters we give explicit representations for fundamentaPalabras claves:Cauchy-Pompeiu Formula, Clifford-type algebras depending on parameters, Fundamental solutions, metamonogenic functionsAutores:Antonio Nicola Di Teodoro, Carmen Judith Vanegas EspinozaFuentes:scopusSufficient Conditions for First-Order Differential Operators to be Associated with a q-Metamonogenic Operator in a Clifford Type Algebra
ArticleAbstract: Consider the initial value problem (Formula presented.), where t is the time, L is a linear first-orPalabras claves:associated operators, Associated spaces, Initial value problem, Interior estimatesAutores:Antonio Nicola Di Teodoro, Eusebio Ariza García, Franklin A. Vargas, Sapiain M.Fuentes:scopus