Results 251 to 260 of about 354,882 (289)

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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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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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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Essentials of Fractional Calculus

2015
Essentials of fractional calculus are presented. Different kinds of integral and differential operators of fractional order are discussed. The notion of the Riemann-Liouville fractional integral is introduced as a natural generalization of the repeated integral written in a convolution type form.
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An application of the fractional calculus. IV

1984
[For part III see the author in J. Korean Math. Soc. 20, 133-140 (1983; Zbl 0558.30017).] The class A(\(\alpha)\) of analytic functions \(f(z)=z+\sum^{\infty}_{n=2}a_ nz^ n\) which satisfy \(| (f(z)/z)-1|
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