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Extensión de la derivada de orden natural a un orden real.
dc.contributor.advisor | Páez Ortegón, Jorge Edgar | spa |
dc.contributor.author | Mina Ladino, Jhon Cristian | spa |
dc.coverage.spatial | Bogotá | spa |
dc.coverage.temporal | Colombia-2022 | spa |
dc.date.accessioned | 2022-04-29T15:44:29Z | |
dc.date.available | 2022-04-29T15:44:29Z | |
dc.date.issued | 2021 | |
dc.identifier.uri | http://hdl.handle.net/20.500.12209/17262 | |
dc.description.abstract | El presente trabajo tiene por objetivo extender la derivada de orden natural a un orden real y estudiar algunas de sus propiedades básicas. Para esta construcción el documento contiene cuatro capítulos titulados: Funciones especiales, Derivada de orden natural, Derivada de orden entero y Derivada de orden real. Estos incluyen definiciones, teoremas y corolarios los cuales están enumerados según el capitulo, luego se exponen algunas conclusiones sobre el trabajo, seguido de ello se presentan las demostraciones de los teoremas mas relevantes de cada capitulo como anexos. | spa |
dc.description.sponsorship | Universidad Pedagógica Nacional | spa |
dc.format.mimetype | application/pdf | spa |
dc.language.iso | spa | |
dc.publisher | Universidad Pedagógica Nacional | spa |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.subject | Calculo fraccionario | spa |
dc.subject | Derivada de orden real | spa |
dc.subject | Jhon Mina | spa |
dc.subject | Derivative calculus | spa |
dc.subject | Derivada de orden entero | spa |
dc.subject | Derivada de orden natural | spa |
dc.title | Extensión de la derivada de orden natural a un orden real. | spa |
dc.publisher.program | Licenciatura en Matemáticas | spa |
dc.subject.keywords | Fractional calculation | eng |
dc.subject.keywords | Fractional calculus | eng |
dc.subject.keywords | Derivative of real order | eng |
dc.subject.keywords | Derivative calculus | eng |
dc.subject.keywords | Derivative of integer order | eng |
dc.subject.keywords | Derived from natural order | eng |
dc.type.hasVersion | info:eu-repo/semantics/acceptedVersion | |
dc.rights.accessrights | info:eu-repo/semantics/openAccess | |
dc.rights.accessrights | http://purl.org/coar/access_right/c_abf2 | |
dc.relation.references | Anastassiou, G. A. (2021). Generalized Fractional Calculus. Springer Publishing. | |
dc.relation.references | Anastassiou, G. A., & Argyros, I. K. (2015). Intelligent Numerical Methods: Applications to Fractional Calculus (Studies in Computational Intelligence Book 624) (English Edition) (1st ed. 2016 ed.). Springer. | |
dc.relation.references | Angarita Cervantes, R. (2004). DOS FUNCIONES EULERIANAS. En B. B. Barrios Bustillo (Ed.), Memorias XV Encuentro de Geometría y III de Aritmética (pp. 407–410). Universidad Pedagógica Nacional. | |
dc.relation.references | Annaby, M. H., & Mansour, Z. S. (2012). Q-Fractional Calculus and Equations: 2056 (2012 ed.). Springer. | |
dc.relation.references | Apostol, T. M. (1990). Calculus. I. Reverté. | |
dc.relation.references | Apostol, T. M. (1992). Cálculus. Reverté. | |
dc.relation.references | Bashirov, A., Kurpınar, E. M. ı. ı. ı., & Özyapıcı, A. (2008, 1 enero). Multiplicative calculus and its applications. ScienceDirect, 337. https://www.sciencedirect.com/science/article/pii/S0022247X07003824 | |
dc.relation.references | Clark, D. N. (1999). Dictionary of Analysis, Calculus, and Differential Equations (1.a ed.). CRC Press. https://epdf.pub/dictionary-of-analysis-calculus-and-differential-equationsfd55be10b1b90855c588d5efeeffa0c019754.html | |
dc.relation.references | Courant, R. H. R. Y., & Mansour, M. M. (2020). ¿Qué son las matemáticas?. Conceptos y métodos fundamentales (1.a ed.). Fondo de Cultura Económica. | |
dc.relation.references | Courant, R., & John, F. (2012). Introduction to Calculus and Analysis, Vol. 1 (Classics in Mathematics) (English Edition) (1999.a ed.). Springer. | |
dc.relation.references | Das, S. (2014). Functional Fractional Calculus (2nd 2011 ed.). Springer. | |
dc.relation.references | G. (2011, 23 junio). Calcular la derivada de una integral. Gaussianos. https://www.gaussianos.com/calcular-la-derivada-de-una-integral/ | |
dc.relation.references | Guzman Cabrera, R., Guía-Calderón, M., Rosales-García, J. J., González-Parada, A., & Álvarez-Jaime, J. A. (2015). The differential and integral fractional calculus and its applications. Acta Universitaria, 25(2), 20–27. https://doi.org/10.15174/au.2015.688 | |
dc.relation.references | Herrmann, R. (2011). Fractional Calculus: An Introduction for Physicists (Illustrated ed.). World Scientific Publishing Company. | |
dc.relation.references | Karlheinz, S. (2005). A short proof of the formula of Faa di Bruno. Elemente der Mathematik, 1–2. https://ems.press/content/serial-article-files/499 | |
dc.relation.references | Kubica, A., Ryszewska, K., & Yamamoto, M. (2020). Time-Fractional Differential Equations: A Theoretical Introduction (2020 ed.). Springer. | |
dc.relation.references | L. (2020). Calculo Ii De Varias Variables (9.a ed.). MCGRAW HILL EDDUCATION. | |
dc.relation.references | Mainardi, F. (2018). Fractional Calculus: Theory and Applications. Mdpi AG. | |
dc.relation.references | Milici, C., Drăgănescu, G., & Machado, T. J. (2018). Introduction to Fractional Differential Equations (Nonlinear Systems and Complexity Book 25) (English Edition) (1.a ed.). Springer. | |
dc.relation.references | Ortigueira, M. D. (2011). Fractional Calculus for Scientists and Engineers (Lecture Notes in Electrical Engineering Book 84) (English Edition) (2011.a ed.). Springer. | |
dc.relation.references | Podlubny, I. (1998a). Fractional Differential Equations. Elsevier Gezondheidszorg. | |
dc.relation.references | Podlubny, I. (1998b). Fractional differential equations, volume 198: An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications (Illustrated ed.). Academic Press. | |
dc.relation.references | Sabatier, J., Agrawal, O. P., & Machado, J. A. T. (2007). Advances in Fractional Calculus. Springer Publishing. | |
dc.relation.references | Sage para estudiantes. (2000). SageMath. http://www.sage-para-estudiantes.com/ | |
dc.relation.references | Salehi, Y., Schiesser, W. E., & Chairman, S. A. G. (2017). Numerical Integration of Space Fractional Partial Differential Equations: Vol 2 - Applications from Classical Integer Pdes. Morgan & Claypool. | |
dc.relation.references | Sánchez Muñoz, J. M. (2011, 1 octubre). Historias de matemáticas génesis y desarrollo del cálculo fraccional. Pensamiento Matemático, G(12). http://www2.caminos.upm.es/Departamentos/matematicas/revistapm/revista_impresa/numero_1/genesis_y_desarrollo_del_calculo_fraccional.pdf | |
dc.relation.references | Sauchelli, V., & Laboret, S. (2007, 13 octubre). CÁLCULO FRACCIONAL APLICADO A CONTROL AUTOMÁTICO. ResearchGate. Recuperado 23 de octubre de 2020, de https://www.researchgate.net/publication/228350370_CALCULO_FRACCIONAL_APLICADO_A_CONTROL_AUTOMATICO | |
dc.relation.references | Singh, J., Kumar, D., Dutta, H., Baleanu, D., & Purohit, S. D. (2020). Mathematical Modelling, Applied Analysis and Computation: Icmmaac 2018, Jaipur, India, July 6–8: 272 (2019 ed.). Springer. | |
dc.relation.references | Spivak, M., Sala, O. J. M., & Camó, S. L. (2019). Calculus (3.a ed.). Reverte. | |
dc.relation.references | Srivastava, H. M. (2020). Integral Transformations, Operational Calculus and Their Applications. Mdpi AG. | |
dc.relation.references | Stein, E. M., & Shakarchi, R. (2005). Real Analysis: Measure Theory, Integration, and Hilbert Spaces (First Edition). Princeton University Press. | |
dc.relation.references | Thomas, G. B., Weir, M. D., Hass, J. R., & Giordano, F. R. (2004). Thomas’ Calculus (Ed. rev.). Addison-Wesley. | |
dc.relation.references | Umarov, S. (2016). Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols: 41 (Softcover Reprint of the Original 1st 2015 ed.). Springer. | |
dc.relation.references | Zhou, Y. (2014). Basic Theory of Fractional Differential Equations (1.a ed.). World Scientific Publishing Company. | |
dc.publisher.faculty | Facultad de Ciencia y Tecnología | spa |
dc.type.local | Tesis/Trabajo de grado - Monografía - Pregrado | spa |
dc.type.coar | http://purl.org/coar/resource_type/c_7a1f | eng |
dc.description.degreename | Licenciado en Matemáticas | spa |
dc.description.degreelevel | Pregrado | spa |
dc.type.driver | info:eu-repo/semantics/bachelorThesis | eng |
dc.identifier.instname | instname:Universidad Pedagógica Nacional | spa |
dc.identifier.reponame | reponame: Repositorio Institucional UPN | spa |
dc.identifier.repourl | repourl: http://repositorio.pedagogica.edu.co/ | |
dc.title.translated | Extension of the derivative of natural order to a real order. | eng |
dc.description.abstractenglish | The objective of this work is to extend the derivative of natural order to a real order and to study some of its basic properties. For this construction, the document contains four chapters entitled: Special functions, Derivative of natural order, Derivative of integer order and Derivative of real order. These include definitions, theorems and corollaries which are listed according to the chapter, then some conclusions about the work are presented, followed by the proofs of the most relevant theorems of each chapter as annexes. | eng |
dc.rights.creativecommons | Attribution-NonCommercial-NoDerivatives 4.0 International |