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Advances in Applied Clifford Algebras(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: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:scopusExtended Multi-Step Jarratt-like Schemes of High Order for Equations and Systems
ArticleAbstract: The local convergence analysis of multi-step, high-order Jarratt-like schemes is extended for solvinPalabras claves:Banach space, derivative-free, Jarratt scheme, local convergence, multi-step schemeAutores:Argyros C., Argyros I.K., Argyros M., Daniel González, Johan CeballosFuentes:scopusExtending the applicability of Newton's method for a class of boundary value problems using the shooting method
ArticleAbstract: We use Newton's method to approximate locally unique solutions for a class of boundary value problemPalabras claves:boundary value problem, Lipschitz condition, Newton's method, Shooting methodAutores:Argyros I.K., Daniel González, Gutiérrez J.M., Johan CeballosFuentes:scopusInitial value problems in clifford analysis using associated spaces
Book PartAbstract: where the initial data belong to an associated space in a Clifford algebra. The method of associatedPalabras claves:Associated space, Clifford-type algebras, Initial value problems, Interior estimate, Matrix representations, Monogenic functionsAutores:Antonio Nicola Di Teodoro, David Armendáriz, Johan CeballosFuentes:scopus