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Advances in Applied Clifford Algebras(8)
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A Cauchy-Pompeiu Representation Formula Using Dirac Operator and its Applications in Some Piecewise Constant Structure Relations
ArticleAbstract: In the present paper we use the piecewise constant structure relations of a Clifford algebra in ordePalabras claves:Cauchy-Pompeiu Formula, Clifford analysis, fundamental solution, Integral representation, Structure relations of Clifford algebraAutores:Antonio Nicola Di Teodoro, Infante A.Fuentes:scopusA 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:googlescopusA Dirichlet Problem for the First Order Inhomogeneous Meta-Monogenic Equation in Parameter Depending Clifford Algebras
ArticleAbstract: Using Clifford-type algebras depending on parameters we solve a Dirichlet problem for the first ordePalabras claves:Clifford-type algebras depending on parameters, Dirichlet problem, Meta-monogenic functionsAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, Carmen Judith Vanegas EspinozaFuentes:googlescopusA Dirichlet problem for powers of the generalized Cauchy-Riemann operator
ArticleAbstract: Abstract: In this paper we solve a Dirichlet problem in ℝ3 for the equation Dnu = 0, where Dn is thePalabras claves:Clifford-type algebras depending on parameters, Dirichlet problems in Clifford analysis, powers of the generalized Cauchy-Riemann operatorAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, Carmen Judith Vanegas EspinozaFuentes:googlescopusFractional Elementary Bicomplex Functions in the Riemann–Liouville Sense
ArticleAbstract: In this paper, we present the development of fractional bicomplex calculus in the Riemann–LiouvillePalabras claves:Bicomplex functions, Bicomplex numbers, Fractional analytic functions, Fractional bicomplex functions, Fractional Cauchy–Riemann operatorAutores:Antonio Nicola Di Teodoro, Diego Ochoa–Tocachi, Francisco Ponce, Nicolás ColomaFuentes:scopusFundamental 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 Second Order Elliptic Operators in Clifford-Type Algebras
ArticleAbstract: We show fundamental solutions for some second order elliptic operators in the framework of parameterPalabras claves:Clifford-type algebras, elliptic operators, Fundamental solutions, integral representations formulaeAutores:Antonio Nicola Di Teodoro, Carmen Judith Vanegas Espinoza, Eusebio Ariza García, Infante A.Fuentes:scopusGeneralized Cauchy-Riemann-type operators and some integral representation formulas
Conference ObjectAbstract: We introduce some generalized Cauchy-Riemann-type operators. For some of them we give integral reprePalabras claves:Boundary value problems, Cauchy-Riemann operators, Clifford algebras, Fundamental solutionsAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, Bolívar Y., Carmen Judith Vanegas EspinozaFuentes:googlescopusGeneralized Fractional Cauchy–Riemann Operator Associated with the Fractional Cauchy–Riemann Operator
ArticleAbstract: In this paper, we present a characterization of all linear fractional order partial differential opePalabras claves:Associated pair, Fractional Calculus, Fractional Cauchy–Riemann, generalized analytic functions, Linear fractional differential systemAutores:Antonio Nicola Di Teodoro, Diego Ochoa–Tocachi, Johan Ceballos, Nicolás ColomaFuentes:scopusFirst Order Differential Operators Associated to the Space of q-Monogenic Functions
ArticleAbstract: In this paper we characterize all the first order differential operators, with paravector coefficienPalabras claves:Associated spaces, Clifford-type algebras, Initial value problems, q-monogenic functionsAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, Carmen Judith Vanegas Espinoza, Eusebio Ariza GarcíaFuentes:googlescopus