Examinando por Autor "Vargas, Carlos"

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    Class of quasi fractional analytic functions
    (Elsevier B.V., 2025-12) Camacho, Oscar; Chalco, Ronny; Di Teodoro, Antonio; Gude, Juan José; Vargas, Carlos; Cerda, Adrian; Galán, Josué; Villegas, María
    The document presents a class of quasi-fractional analytic functions, exploring their properties in complex analysis and fractional calculus. Definitions, theorems, and proofs are established that link these functions with concepts such as Gauss's Theorem and the Cauchy-Pompeiu formula. Additionally, the relationship between harmonicity and quasi-fractional analyticity is investigated, also introducing the concept of quasi-generalized fractional analytic functions.
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    An introduction to weighted operators via composition and selected properties, aimed at numerical implementation
    (Elsevier B.V., 2025-12) Camacho, Oscar; Chalco, Ronny; Di Teodoro, Antonio; Gude, Juan José ; Montaluisa, Renato; Vargas, Carlos; Vega, Sebastián; Villegas, María
    This work introduces a novel class of weighted fractional operators constructed through the composition of differential and integral operators. In particular, we propose the operator q¯Dxμ, which generalizes classical fractional derivatives while maintaining essential properties such as linearity. Although the semigroup property and the Leibniz rule do not hold in their traditional forms, we derive analogous formulations by combining the proposed operator with the Riemann-Liouville derivative. Furthermore, a numerical representation based on the Grünwald-Letnikov method is developed, enabling efficient discretization and simulation of the weighted operator in cases where analytical solutions are intractable. The approach also considers the interplay between Laplace transforms and convolutions, which is crucial for real-world applications in control and signal processing.
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    Ítem
    Lifelong Learning principles and higher education policies
    (Universidad de Deusto = Deustuko Unibertsitatea, 2014-12-20) Vargas, Carlos
    The role of higher education in promoting economic growth and social cohesion has been recognised in multiple international documents, programmes and strategies. Likewise, a number of countries and higher education institutions worldwide have introduced policies that aim at fostering learners’ employability, active citizenship, personal development, knowledge base, competences and capabilities. However, not all these policies have successfully addressed current global trends like the economic downturn, demographic change, the changing nature of the labour market, and pressing social needs. This paper posits that introducing lifelong learning principles to the formulation and implementation of higher education policies may provide more inclusive and comprehensive frameworks for meeting the needs and aspirations of the multiple stakeholders of higher education.
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    A Weighted Fractional Order PID controller for nonlinear systems with variable delay
    (Elsevier B.V., 2025-12) Camacho, Oscar; Chalco, Ronny; Di Teodoro, Antonio ; Gude, Juan José ; Montaluisa, Renato; Vargas, Carlos; Vega, Sebastián
    This paper presents a Weighted Fractional Order PID (WFO-PID) controller that enhances the conventional Fractional Order PID (FOPID) structure by introducing explicit weighting factors for the tuning terms. These weights, combined with fractional orders and gain parameters, provide greater flexibility in tuning, enabling for more precise control over system dynamics. The proposed controller is applied to a mixing tank process with variable time delay, a representative case of industrial processes with challenging dynamics. Its performance is benchmarked against both PID and FOPID controllers, demonstrating improved reference tracking and disturbance rejection, particularly under varying delay conditions and noise in the transmitter. The findings highlight the WFO-PID method's efficiency in managing intricate control situations.