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dc.contributor.advisorChávez Fuentes, Jorge Richardes_ES
dc.contributor.authorWinter Arboleda, Irina Michellees_ES
dc.description.abstractThe area of fractional calculus is more than three centuries old but applications have only appeared in the past few decades. Differential equations of non-integer order are known to represent certain physical processes in a more precise way than using the usual differential equations with integer order. Therefore, considering fractional calculus in the context of input- output systems can be beneficial. A useful representation of an input-output map in control theory is the Chen-Fliess functional series or Fliess operator. It can be viewed as a generalization of a Taylor series, and its algebraic nature is especially well suited for several important applications. In this thesis, a general solution for a fractional linear and bilinear time invariant system via formal power series methods and Fliess operators is presented. A mathematical model (that includes a differential equation) for an input-output linear and bilinear time invariant system is very well known, both the explicit solution and the one using formal power series. However, the question of how this system behaves when a fractional differential equation (where the derivative is of a non-integer order) has not been yet studied from the power series point of view. This thesis focuses on two specific kind of derivatives, one using Riemann-Liouville fractional derivatives and the other using Caputo fractional derivatives.es_ES
dc.publisherPontificia Universidad Católica del Perúes_ES
dc.rightsAtribución-NoComercial-SinDerivadas 2.5 Perúes_ES
dc.sourcePontificia Universidad Católica del Perúes_ES
dc.sourceRepositorio de Tesis - PUCPes_ES
dc.subjectCálculo fraccionales_ES
dc.subjectTeoría del controles_ES
dc.subjectSistemas linealeses_ES
dc.titleSolution of fractional linear and bilinear time invariant system via formal power series methodses_ES
dc.typeinfo:eu-repo/semantics/masterThesises_ESíster en Matemáticases_ESíaes_ES Universidad Católica del Perú. Escuela de Posgradoes_ESáticases_ES

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