Research

Actualmente trabajando y aprendiendo sobre Calculo fraccionario en análisis hipercomplejo

ResearchGate

Academic Publications

Publications

Published Book

• Introduction to Clifford Analysis: A New Perspective. Nova Science Publishers, Inc. ISBN: 978-1-53618-533-1. 2020

Papers

2008

* A. Di Teodoro, V. Villalba Asymptotic Symmetries in Cosmological Models. Int J Theor Phys. 2008. 

2012

*  A. Di Teodoro & C. Vanegas Fundamental Solution for the first order Meta-monogenic operator. Advances in Applied Clifford Algebras. 22, 1, 2012, 49 − 58.

*  A. Di Teodoro & C. Vanegas (Dirichlet-Neumann)- Schwarz Problem for the Inhomogeneous Trianalytic Equation. The Venezuelan Mathematics Association  Bulletin. 19, 2, 2012, 113 − 128. 

2013

*  A. Di Teodoro Generalized Monogenic Functions Satisfying Differential Equations with Anti-Monogenic Right-Hand Sides on Clifford Algebras Depending on Parameters. Complex Variables and Elliptic Equations. 58, 12, 2013, 1715 − 1724.

*  A. Di Teodoro & A. Infante A Cauchy-Pompeiu Representation Formula Using Dirac Operator and its Ap- plications in Some Piecewise Constant Structure Relations. Advances in Applied Clifford Algebras. 23, 2,  2013, 323 − 337.

*  E. Ariza & A. Di Teodoro Hartog extension theorem in generalized Clifford analysis. Advances in Applied Clifford Algebras. 23, 3, 2013, 561 − 576. 

*  C. Balderrama, A. Di Teodoro and A. Infante Some Integral Representation for Meta and Anti-meta Monogenic Function in Clifford Depending Parameter Algebra. Advances in Applied Clifford Algebras. 23, 4, 2013, 793 − 813.

2014

* E. Ariza & A. Di Teodoro. Multi Mq -monogenic function in different dimension. Contained in the book: 4 Hypercomplex Analysis: New perspectives and Applications, Noncommutative Analysis, Operator Theory and Applications Trends in Mathematics, Springer International Publishing, 2014, 61-73.

*  A. Di Teodoro, Marıa and Fernanda Romero La Geometrıa y el arte Cubista como generador de espacio. Teorıa y proyectacion arquitectonica Proceeding Trienal de Investigacion Facultad de Arquitectura y Urbanismo, UCV. 2014, 997-1009. ISBN 9789800027806. 

* Y. Bolıvar ,A. DiTeodoro and C.Vanegas Generalized Cauchy-Riemann-type operators and some integral representation formulas. Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM-2014. AIP Conference Proceedings 1648. 

2015

* E. Ariza, A. Di Teodoro A. Infante and C. Vanegas. Fundamental solutions for second order elliptic operator in parameter-depending Clifford algebras. Advances in Applied Clifford Algebras. Vol 25, issue 3, 2015, pp 527 − 538. 10.1007/s00006-014-0526-5.

*  A. Di Teodoro & C. Vanegas A Dirichlet Problem for Powers of the Generalized Cauchy-Riemann Operator. Quaestiones Mathematicae. Volume 38, issue 2, 2015, pages 181 − 189. 

*  A. Di Teodoro & C. Vanegas A Dirichlet problem for the first order inhomogeneous meta-monogenic equation in parameter depending Clifford algebras. Complex Analysis and Operator Theory. Volume 9, issue 5, 2015, 1025 − 1036. 

*  A. Di Teodoro & Maria Sapiain Solution of the initial value problem for no linear differential equation in general Clifford type. Advances in Applied Clifford Algebras. Volume 25, issue 2, 2015, pp 283 − 301. 

*  A. Di Teodoro, R. Franquiz and A. Lopez A modified Dirac operator in parameter-dependent Clifford Algebra: a physical realization. Advances in Applied Clifford Algebras. Volume 25, issue 2, 2015 pp 303 − 320. 

*  E. Ariza, A. Di Teodoro and C. Vanegas First Order Differential Operators Associated to the Space of q-Monogenic Functions Advances in Applied Clifford Algebras. Volume 25, issue 3, 2015, pp 527 − 538. 

*  E. Ariza and A. Di Teodoro Problemas de Valores iniciales y las representaciones integrales en Clifford Analisis. Acta cientifica Venezolana. Vol 65, issue 4, 2015. 

*  A.Lopez, A.DiTeodoro, J.Schliemann, B.Berche and B. Santos Laser induced modulation of the Landau level structure in single-layer graphene. Phys. Rev. B 92, 2015, 235411. 

*  A. Di Teodoro A Boundary Valued Problem for a jump Cauchy-Riemann operator in a Clifford type Algebra. Proceedings of the 15th International Conference on Mathematical Methods in Science and Engineering, CMMSE 2015. ISBN: 978-84-617-2230-3. 

2017

*  E. Ariza, A. Di Teodoro, Maria Sapian, Franklin Vargas Sufficient Conditions for First Order Differential Operators to be Associated with a q-Metamonogenic Operator in a Clifford Type Algebra; CMFT Computational Methods and Function Theory. 2017, Volume 17, Issue 2, pp 211-236.

*  E. Ariza and A. Di Teodoro An integral representation formula for Multi Meta−φ−monogenic functions of first class; Complex Analysis and Operator Theory. 2017, Volume 11, Issue 2, pp 375-392

2018

* A. Di Teodoro, A. Lop\'ez and J. Vanegas. Solution for inhomogenous second order elliptic equations in Clifford-Type algebras. Magneto11 matemática: Una publicación del ICM-ESPOL, Vol 16, 2,  2018.

* D. Armendariz, J. Ceballo and A. Di Teodoro. About the Dirichlet boundary value problem using Clifford Algebra. Journal of Advances in Mathematics Vol 15-2018 ISSN: 2347-1921.

2019

* E. Ariza, A. Di Teodoro and J. Vanegas. $\psi$--weighted Cauchy-Riemann operators and some associated integral representation. Quaestiones Mathematicae. Online First Articles.  2019.

* E. Ariza, A. Di Teodoro and J. Vanegas. Interior estimates in the sup-norm for a class of generalized functions with integral representations. Bulletin of Computational Applied Mathematics. Vol.7.  Issue 1. 2019. ISSN: 2244-8659.

2020

*D. Armendàriz, J. Ceballos, A. Di Teodoro. Dirichlet boundary value problem for fractional monogenic functions in the Riemman Louville sense. Vol.14.  Issue 51: Complex Analysis and Operator Theory. 2020. doi: 10.1007/s11785-020-01008-z.

* A. Di Teodoro, M. Ferreira and N. Viera Solutions for the natural powers of the fractional Clifford-Cauchy operator. Adv. Appl. Clifford Algebras 30, 3. 2020. doi:10.1007/s00006-019-1029-1

* J. Ceballos, N. Coloma, A. Di Teodoro and Diego Ochoa-Tocachi. Generalized Fractional Cauchy–Riemann Operator Associated with the Fractional Cauchy–Riemann Operator. Adv. Appl. Clifford Algebras 30, 70 (2020). doi: https://doi.org/10.1007/s00006-020-01096-2

2021

* A. Di Teodoro & Joel Maldonado Cálculo fraccionario para ecuaciones diferenciales. ACI Avances en Ciencias e Ingenierías. 2021 (in Spanish).

* N. Coloma, A. Di Teodoro, D. Ochoa-Tocachi and F. Ponce Fractional Elementary Bicomplex Functions in the Riemann–Liouville Sense. Advances in Applied Clifford Algebras volume 31, Article number: 63, 2021. DOI: https://doi.org/10.1007/s00006-021-01165-0

2022

* J. Ceballos, N. Coloma, A. Di Teodoro, D. Ochoa-Tocachi and F. Ponce Fractional Multicomplex Polynomials. Complex Analysis and Operator Theory volume 16, Article number: 60. 2022.

* A. Di Teodoro, D. Ochoa-Tocachi, H. Aboukheir and O.Camacho Theoretical Model for Sliding Mode Control Based on Fractional Order Calculus for Chemical Processes. CLCA 2022.

* A. Di Teodoro, D. Ochoa-Tocachi, H. Aboukheir and O.Camacho. Sliding-Mode Controller Based on Fractional Order Calculus for Chemical Processes. IEEE, ICA-ACCA. 2022.

Chapters in books

• E. Ariza \& A. Di Teodoro.Multi Mq -monogenic function in different dimension. Contained in the book: Hypercomplex Analysis: New perspectives and Applications, Noncommutative Analysis, Operator Theory and Applications Trends in Mathematics,  Springer International Publishing, 2014, 61-73.

• G. Salum, A. Di Teodoro, J. Salerno, E. Marino and R. Piacentini. A method to determine the variation of irradiance in bilirubin lamps as function of the time of use.  Contained in the book: Springer International Publishing Switzerland 2015. D.A Jaffray (ed.) World Congress on Medical Physics and Biomedical Engineering, 2015. IFMBE Proceedings 52. Online ISBN: 978-3-319-19387-8. doi 10.1007/978-3-319-19387-8_{331}. 

• E. Ariza and A. Di Teodoro. Cauchy-Pompeiu formula for Multi Meta-weighted-monogenic functions of first class. Contained in the book: Modern trends in Hypercomplex Analysis, Edition: Trends in Mathematics Series,  Springer International Publishing, 2016, 1-17.

• D. Armendariz, J. Ceballo and A. Di Teodoro. Chapter 19. Initial Value Problems in Clifford Analysis Using Associated Spaces. Contained in the book: Understanding Banach Spaces. Series: Mathematics Research Developments. Novapublishers,  ISBN: 978-1-53616-745-0.

• D. Armendariz, J. Ceballo and A. Di Teodoro. Chapter 20. Computational Approach of Initial Value Problems in Clifford Analysis Using Associated Spaces. Contained in the book: Understanding Banach Spaces. Series: Mathematics Research Developments. Novapublishers,  ISBN: 978-1-53616-745-0

Other publications

• A. Di Teodoro, María and Fernanda Romero. La Geometría y el arte Cubista como generador de espacio. Teoría y proyectación arquitectónica Proceeding Trienal de Investigación Facultad de Arquitectura y Urbanismo, UCV. (2014), 997-1009. ISBN 9789800027806. 

• Y Bolívar, A. Di Teodoro and C. Vanegas.Generalized Cauchy-Riemann-type operators and some integral representation formulas}. Proceedings of the International Conference on Numerical Analysis and Applied Mathematics. (2014), ICNAAM-2014. AIP Conference Proceedings.1648. 

• A. Di Teodoro. A Boundary Valued Problem for a jump Cauchy-Riemann operator in a Clifford type Algebra. Proceedings of the 15th International Conference on Mathematical Methods in Science and Engineering, CMMSE 2015. ISBN: 978-84-617-2230-3.

• A. Di Teodoro and María Fernada Romero. La geometría y el arte cubista como estrategia de enseñanza del objeto fracción: Un nuevo enfoque. Revista Ecuatoriana de Investigación Educativa. 2020.

• Lecture Notes: Cálculo Fraccionario en números complejos generalizados. In Spanish. https://www.amarun.org/index.php/material/lecciones-y-ejercicios/analisis-complejo 

Currently, my research is based on hypercomplex analysis and fractional calculus