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Biregular extendability via isotonic Clifford analysis
ArticleAbstract: We use the so-called isotonic functions to obtain extension theorems in the framework of biregular fPalabras claves:Biregular extension theorem, Clifford algebras, Isotonic functionsAutores:Peña-Peña D., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusBoundary value problems for Dirac operators and Maxwell's equations in fractal domains
ArticleAbstract: Some boundary value problems are solved for time-harmonic electromagnetic fields on fractal domains,Palabras claves:Electromagnetic fields, Fractals, Maxwell Equations, Quaternionic analysisAutores:Ávila-Ávila R., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusDecomposition of inframonogenic functions with applications in elasticity theory
ArticleAbstract: In this paper, we consider functions satisfying the sandwich equation (Formula presented.), where (FPalabras claves:Almansi decomposition, Clifford analysis, inframonogenic functions, Lamé system, Linear elasticityAutores:Moreno García A., Moreno García T., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusLaplacian decomposition of vector fields on fractal surfaces
ArticleAbstract: In the present paper we consider domains in ℝ3 with fractal boundaries. Our main purpose is to studyPalabras claves:Fractals, Quatemionic analysis, Vector fieldsAutores:Moreno García T., Peña-Peña D., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusOn the Laplacian vector fields theory in domains with rectifiable boundary
ArticleAbstract: Given a domain Ω in ℝ3 with rectifiable boundary, we consider main integral, and some other, theoremPalabras claves:Cauchy transform, Quaternionic analysis, Vector fields theoryAutores:Reyes J.B., Ricardo Abreu Blaya, Shapiro M.Fuentes:scopusOn the conformable fractional logistic models
ArticleAbstract: In this paper, we use a conformable fractional derivative (Formula presented.), with kernel (FormulaPalabras claves:Applications, differential equations with fractional derivatives, fractional conformable derivatives, Fractional integralsAutores:Fleitas A., Reyes R., Ricardo Abreu Blaya, Rodríguez J.M., Sigarreta J.M., Valdes J.E.N.Fuentes:scopusInframonogenic decomposition of higher-order Lipschitz functions
ArticleAbstract: Euclidean Clifford analysis has become a well-established theory of monogenic functions in higher-diPalabras claves:Clifford analysis, higher-order Lipschitz class, inframonogenic functionsAutores:Moreno García A., Reyes J.B., Ricardo Abreu Blaya, Santiesteban D.A.Fuentes:scopusInframonogenic functions and their applications in 3-dimensional elasticity theory
ArticleAbstract: Solutions of the sandwich equation ∂x_f∂x_=0, where ∂x_ stands for the first-order differential operPalabras claves:Clifford analysis, inframonogenic functions, Lamé system, Linear elasticityAutores:Moreno García A., Moreno García T., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusWeighted singular integral operators in Clifford analysis
ArticleAbstract: We consider the Cauchy-type integral and singular integral operator having a weighted Cauchy kernel,Palabras claves:Cauchy-type integral, Clifford analysis, Hausdorff measureAutores:Reyes J.B., Ricardo Abreu BlayaFuentes:scopusThe Clifford-Cauchy transform with a continuous density: N. Davydov's theorem
ArticleAbstract: N. A. Davydov was among the first mathematicians who investigated the question of the continuity ofPalabras claves:Cauchy transform, Clifford analysis, Multivector fieldsAutores:Gerus O.F., Reyes J.B., Ricardo Abreu Blaya, Shapiro M.Fuentes:scopus