Enhancing variable frequency drive efficiency using fractional hybrid Particle Swarm Optimization and comprehensive thermal management [PDF]
Scientific ReportsThis study proposes a Fractional Calculus Hybrid Approach to enhance the dynamic and thermal performance of vector-controlled Permanent Magnet Synchronous Motor (PMSM) drives.
Kashif Habib +6 more
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Minimization Problems for Functionals Depending on Generalized Proportional Fractional Derivatives
Fractal and Fractional, 2022 In this work we study variational problems, where ordinary derivatives are replaced by a generalized proportional fractional derivative. This fractional operator depends on a fixed parameter, acting as a weight over the state function and its first-order
Ricardo Almeida
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Euler–Lagrange-Type Equations for Functionals Involving Fractional Operators and Antiderivatives
Mathematics, 2023 The goal of this paper is to present the necessary and sufficient conditions that every extremizer of a given class of functionals, defined on the set C1[a,b], must satisfy.
Ricardo Almeida
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Optimal State Control of Fractional Order Differential Systems: The Infinite State Approach
Fractal and Fractional, 2021 Optimal control of fractional order systems is a long established domain of fractional calculus. Nevertheless, it relies on equations expressed in terms of pseudo-state variables which raise fundamental questions.
Jean-Claude Trigeassou, Nezha Maamri
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A Stochastic Fractional Calculus with Applications to Variational Principles
Fractal and Fractional, 2020 We introduce a stochastic fractional calculus. As an application, we present a stochastic fractional calculus of variations, which generalizes the fractional calculus of variations to stochastic processes.
Houssine Zine, Delfim F. M. Torres
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Fractal and Fractional, 2023 In this paper, we investigate the necessary conditions to optimize a given functional, involving a generalization of the tempered fractional derivative.
Ricardo Almeida
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Modified Mittag-Leffler Functions with Applications in Complex Formulae for Fractional Calculus
Fractal and Fractional, 2020 Mittag-Leffler functions and their variations are a popular topic of study at the present time, mostly due to their applications in fractional calculus and fractional differential equations.
Arran Fernandez, Iftikhar Husain
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Fractal and Fractional, 2022 In this paper, we consider Herglotz-type variational problems dealing with fractional derivatives of distributed-order with respect to another function.
Fátima Cruz +2 more
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Further Research for Lagrangian Mechanics within Generalized Fractional Operators
Fractal and Fractional, 2023 In this article, the problems of the fractional calculus of variations are discussed based on generalized fractional operators, and the corresponding Lagrange equations are established.
Chuanjing Song
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Construction and Evaluation of a Control Mechanism for Fuzzy Fractional-Order PID
Applied Sciences, 2022 In this research, a control mechanism for fuzzy fractional-order proportional integral derivatives was suggested (FFOPID). The fractional calculus application has been used in different fields of engineering and science and showed to be improved in the ...
Mujahed Al-Dhaifallah
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