Results 1 to 10 of about 41,470 (233)
Fractal and FractionalThis paper proposes a modeling and analysis method for a Caputo–Fabrizio (C-F) definition-based fractional-order Boost converter with fractional-order inductive loads.
Donghui Yu, Xiaozhong Liao, Yong Wang
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Results in Physics, 2017 This article is focused on natural convection of unsteady flow of generalized Maxwell fluid over an oscillating vertical flat plate with constant temperature at the boundary.
Madeeha Tahir +4 more
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Analysis of fractional electrical circuit with rectangular input signal using Caputo and conformable derivative definitions [PDF]
Archives of Electrical Engineering, 2018 An analysis of a given electrical circuit using a fractional derivative. The statespace equation was developed. The dynamics of tensions described by Kirchhoff’s laws equations.
Ewa Piotrowska
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A Generalized Definition of Caputo Derivatives and Its Application to Fractional ODEs [PDF]
SIAM Journal on Mathematical Analysis, 2018 We extend in this paper the definition of Caputo derivatives of order in $(0,1)$ to a certain class of locally integrable functions using a convolution group. Our strategy is to define a fractional calculus for a certain class of distributions using the convolution group.
Li, Lei, Liu, Jian-Guo
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Time-Fractional Differential Equations with an Approximate Solution
Journal of Nigerian Society of Physical Sciences, 2022 This paper shows how to use the fractional Sumudu homotopy perturbation technique (SHP) with the Caputo fractional operator (CF) to solve time fractional linear and nonlinear partial differential equations.
Lamees K. Alzaki, Hassan Kamil Jassim
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Displaying Projectile Motion with Nonlinear Air Resistance Using Caputo’s Definition
, 2022 Abstract Displaying projectile in a resisting medium for two dimension have two forms; An Ordinary differential equation and a fractional differential equation describe its behavior. The two equations include a nonlinear term, which represents the effect of the air resistance on the motion of the projectile.
Emad K. Jaradat +4 more
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Existence of Weak Solutions to Nonlocal PDEs With a Generalized Definition of Caputo Derivative
Mediterranean Journal of Mathematics, 2023 Some compactness criteria that are analogies of the Aubin–Lions lemma for the existence of weak solutions of nonlinear evolutionary PDEs play crucial roles for the existence of weak solutions to time-fractional PDEs. Based on this fact, in this paper, we consider the existence of weak solutions to a kind of partial differential equations with Caputo ...
Xu, Jiaohui, Caraballo Garrido, Tomás
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Computational analysis of time-fractional models in energy infrastructure applications
Alexandria Engineering Journal, 2023 In this paper, we propose an effective numerical method to solve the one- and two-dimensional time-fractional convection-diffusion equations based on the Caputo derivative.
Imtiaz Ahmad +5 more
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Entropy, 2021 Although most of the early research studies on fractional-order systems were based on the Caputo or Riemann–Liouville fractional-order derivatives, it has recently been proven that these methods have some drawbacks. For instance, kernels of these methods
Hua Wang +5 more
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A New Generalized Definition of Fractional Derivative with Non-Singular Kernel
Computation, 2020 This paper proposes a new definition of fractional derivative with non-singular kernel in the sense of Caputo which generalizes various forms existing in the literature. Furthermore, the version in the sense of Riemann–Liouville is defined.
Khalid Hattaf
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