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A 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: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:scopusHartog'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:googlescopusSufficient 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