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Erroneous Applications of Fractional Calculus: The Catenary as a Prototype
Gerardo Becerra-Guzmán +1 more
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Fractional-Order Identification of Gyroscope MEMS Noise Under Helium Exposure. [PDF]
Sensors (Basel)Sierociuk D, Macias M, Markowski KA.
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On the Fractional Calculus (On Fractional Calculus and Its Applications)
On the Fractional Calculus (On Fractional Calculus and Its Applications)openaire
Design of a fractional-order sliding mode controller for lane- keeping in autonomous driving. [PDF]
Sci RepWu W, Huang S, Qin J, Yang H, Xu C.
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Numerical study on fractional order nonlinear SIR-SI model for dengue fever epidemics. [PDF]
Sci RepVerma L, Meher R, Nikan O, Al-Saedi AA.
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Bifurcation analysis and novel wave patterns to Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation with truncated M-fractional derivative. [PDF]
Sci RepAhmad J, Masood K, Ayub F, Shah NA.
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ON HADAMARD FRACTIONAL CALCULUS
Fractals, 2017This paper is devoted to the investigation of the Hadamard fractional calculus in three aspects. First, we study the semigroup and reciprocal properties of the Hadamard-type fractional operators. Then, the definite conditions of certain class of Hadamard-type fractional differential equations (HTFDEs) are proposed through the Banach contraction ...
Ma, Li, Li, Changpin
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The Mathematical Gazette, 1936
1. Let f(x) be a real function of a real variable x. The meanings of when λ is a positive integer, a negative integer and zero, are well known. In the first case, denotes the λth integral of f(x) with respect to x, with an arbitrary lower limit of integration. In the second case, stands for the (−λ)th differential coefficient of f(x) with respect to
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1. Let f(x) be a real function of a real variable x. The meanings of when λ is a positive integer, a negative integer and zero, are well known. In the first case, denotes the λth integral of f(x) with respect to x, with an arbitrary lower limit of integration. In the second case, stands for the (−λ)th differential coefficient of f(x) with respect to
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The differentiability in the fractional calculus
Nonlinear Analysis, 2001Summary: In this work we give a general concept of differentiability of order \(\alpha\in]0,1]\) for functions of one variable, and then for functions of several variables, in the sense of Nishimoto's fractional calculus.
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Discretized Fractional Calculus
SIAM Journal on Mathematical Analysis, 1986Es werden für Fraktionalintegrale der Form \(\int^{x}_{0}(x- s)^{\alpha -1}x^{\beta -1}g(x)ds\) Konvolutionsquadraturen untersucht, d.h. numerische Näherungen in den Punkten \(x=0,h,2h,...Nh\) bestimmt. Es wird gezeigt, daß die angegebenen Methoden konvergent von der Ordnung p sind, wenn sie stabil und von der Ordnung p konsistent sind.
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