Results 131 to 140 of about 56,071 (293)
Modeling and analysis of fractional order Buck converter using Caputo–Fabrizio derivative
Energy Reports, 2020 The capacitors and inductors in actual circuits often fail to exhibit the ideal integer-order characteristics, so as the circuits containing these types of electronic components.
Ruocen Yang +3 more
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The dynamics of Zika virus with Caputo fractional derivative
AIMS Mathematics, 2019 In the present paper, we investigate a fractional model in Caputo sense to explore the dynamics of the Zika virus. The basic results of the fractional Zika model are presented.
Muhammad Altaf Khan +2 more
semanticscholar +1 more source
Generalized time fractional IHCP with Caputo fractional derivatives
Journal of Physics: Conference Series, 2008 The numerical solution of the generalized time fractional inverse heat conduction problem (GTFIHCP) on a finite slab is investigated in the presence of measured (noisy) data when the time fractional derivative is interpreted in the sense of Caputo. The GTFIHCP involves the simultaneous identification of the heat flux and temperature transient functions
Diego A. Murio, Carlos E. Mejía
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Optimal Control Applications and Methods, EarlyView.Hybrid Algorithm‐Based Optimal FOPI Controller in Three‐phase UPQC system ABSTRACT Time delay (TD) is a common phenomenon in practical systems. Most studies have focused on the classical notion of integer‐order TD. However, it should not be neglected that the delay can also be noninteger.
Erdinç Şahin
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Results in Applied MathematicsIn this work, the ψ-Caputo fractional derivative, as a generalization of the classical Caputo fractional derivative in which the fractional derivative of a sufficiently differentiable function is defined with respect to another strictly increasing ...
M.H. Heydari, M. Razzaghi
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Mathematics, 2018 It is well known that the Black-Scholes model is used to establish the behavior of the option pricing in the financial market. In this paper, we propose the modified version of Black-Scholes model with two assets based on the Liouville-Caputo fractional ...
P. Sawangtong +3 more
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Optimal Control Applications and Methods, EarlyView.Optimal Control of AB Caputo Fractional Stochastic Integrodifferential Control System with Noninstantaneous Impulses. ABSTRACT This study is concerned with the existence of mild solution and optimal control for the Atangana–Baleanu fractional stochastic integrodifferential system with noninstantaneous impulses in Hilbert spaces. We verify the existence
Murugesan Johnson +2 more
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On the stable numerical evaluation of caputo fractional derivatives
Computers & Mathematics with Applications, 2006 AbstractThe computation of Caputo's fractional derivatives in the presence of measured data is considered as an ill-posed problem and treated by mollification techniques. It is shown that, with the appropriate choice of the radius of mollification, the method is a regularizing algorithm, and the order of convergence is derived.
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Optimal Control Applications and Methods, EarlyView.The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja +3 more
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A normalized Caputo–Fabrizio fractional diffusion equation
AIMS MathematicsWe propose a normalized Caputo–Fabrizio (CF) fractional diffusion equation. The CF fractional derivative replaces the power-law kernel in the Caputo derivative with an exponential kernel, which avoids singularities. Compared to the Caputo derivative, the
Junseok Kim
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