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On the Fractional Calculus (On Fractional Calculus and Its Applications)

On the Fractional Calculus (On Fractional Calculus and Its Applications)
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Modeling nonlinear variable-order fractional chaotic systems using the Caputo-Fabrizio operator and radial basis function neural networks. [PDF]

Sci Rep
Sawar S, Ayaz M, Aldhabani MS, Abd El-Rahman M, Hussain S, Jebran S.   +5 more
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Stability analysis of discrete delta fractional models under summation multipoint constraints for robust engineering systems. [PDF]

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Mohammed PO, Al-Sarairah E, Baleanu D, Yousif MA, Arab M.   +4 more
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Analytical solutions and dynamic behavior of conformable fractional reaction-diffusion systems. [PDF]

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Alshehry AS, Shah R, Alqahtani AM.
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A fractional SEIVRB model for aquatic diseases dynamics with stability analysis and numerical solution. [PDF]

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Kosari S, Heydari MH, Sattari M, Bayram M.   +3 more
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ON HADAMARD FRACTIONAL CALCULUS

Fractals, 2017
This 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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Fractional Calculus

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,
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Lattice fractional calculus

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The differentiability in the fractional calculus

Nonlinear Analysis, 2001
Summary: 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, 1986
Es 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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