Mostrando 10 resultados de: 11
Filtros aplicados
Subtipo de publicación
Article(11)
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 Modified Dirac Operator in Parameter–Dependent Clifford Algebra: A Physical Realization
ArticleAbstract: In the present paper we introduce a modified Dirac operator and solve the associated Dirichlet boundPalabras claves:Clifford–type algebras, Depending on parametersalgebras, Dirac operator, Dirichlet problem, Monogenic functionsAutores:Alexander Lopez, Antonio Di Teodoro, Antonio Nicola Di Teodoro, Franquiz R.Fuentes: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: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:scopusGeneralized 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:googlescopusHartog's Type Extension Theorem in Some Piecewise Constant Structure Relations For Metamonogenic Functions of First Order
ArticleAbstract: The main purpose of this paper is to study a Hartog's type extension theorem for a more general clasPalabras claves:Clifford type algebras, Hartog's type extension theorem, metamonogenic functions, multimetamonogenic functions, piecewise constant structure relationsAutores:Antonio Nicola Di Teodoro, Eusebio Ariza GarcíaFuentes:googlescopusSolution of the Initial Value Problem for a Linear Evolution Equation in a Clifford Type Algebra
ArticleAbstract: Initial value problems of type$$\partial_t{u} = L(t, x, u, \partial_{{x}_i}u), $$∂tu=L(t,x,u,∂xiu),$Palabras claves:Associated space, Initial value problem, Interior estimate, metamonogenic operatorAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, Sapian M.Fuentes:googlescopus