Results 31 to 40 of about 177,367 (278)
IEEE Access, 2016 This paper discusses a novel conceptual formulation of the fractional-order Euler-Lagrange equation for the fractional-order variational method, which is based on the fractional-order extremum method. In particular, the reverse incremental optimal search
Yi-Fei Pu
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Fractional‐order backstepping strategy for fractional‐order model of COVID‐19 outbreak [PDF]
Mathematical Methods in the Applied Sciences, 2021 The coronavirus disease (COVID‐19) pandemic has impacted many nations around the world. Recently, new variant of this virus has been identified that have a much higher rate of transmission. Although vaccine production and distribution are currently underway, non‐pharmacological interventions are still being implemented as an important and fundamental ...
Amir Veisi, Hadi Delavari
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Fractional Order Compartment Models
SIAM Journal on Applied Mathematics, 2017 This paper is an interesting application of fractional order systems. Compartment models are well known and well studied in the literature. To describe the time evolution of a system undergoing reactions between populations in different compartments, often compartment models are used. These are set of differential equations coupled together.
Christopher N. Angstmann +5 more
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Some fundamental properties on the sampling free nabla Laplace transform
, 2020 Discrete fractional order systems have attracted more and more attention in recent years. Nabla Laplace transform is an important tool to deal with the problem of nabla discrete fractional order systems, but there is still much room for its development ...
Chen, YangQuan +3 more
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Continuous dependence for NLS in fractional order spaces [PDF]
, 2010 We consider the Cauchy problem for the nonlinear Schr\"odinger equation $iu_t+ \Delta u+ \lambda |u|^\alpha u=0$ in $\R^N $, in the $H^s$-subcritical and critical cases ...
Cazenave, Thierry +2 more
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Stability of Fractional Order Systems [PDF]
Mathematical Problems in Engineering, 2013 The theory and applications of fractional calculus (FC) had a considerable progress during the last years. Dynamical systems and control are one of the most active areas, and several authors focused on the stability of fractional order systems. Nevertheless, due to the multitude of efforts in a short period of time, contributions are scattered along ...
Rivero, Margarita +3 more
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On Moduli of Smoothness of Fractional Order [PDF]
Real Analysis Exchange, 2005 In this paper we consider the properties of moduli of smoothness of fractional order. The main result of the paper describes the equivalence of the modulus of smoothness and a function from some class.
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A Review of Fractional Order Entropies [PDF]
Entropy, 2020 Fractional calculus (FC) is the area of calculus that generalizes the operations of differentiation and integration. FC operators are non-local and capture the history of dynamical effects present in many natural and artificial phenomena. Entropy is a measure of uncertainty, diversity and randomness often adopted for characterizing complex dynamical ...
António M. Lopes 0001 +1 more
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Survey Study of Factional Order Controllers
Journal of Engineering, 2020 This is a survey study that presents recent researches concerning factional controllers. It presents several types of fractional order controllers, which are extensions to their integer order counterparts.
Omar Waleed Abdulwahhab +1 more
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Fractional Order Runge–Kutta Methods
Fractal and Fractional, 2023 This paper presents a new class of fractional order Runge–Kutta (FORK) methods for numerically approximating the solution of fractional differential equations (FDEs).
Farideh Ghoreishi +2 more
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