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Analysis of delay differential equations with dual caputo-type fractional derivatives using laplace transform methods. [PDF]
Sci RepBoumaaza M +4 more
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Sharp Lyapunov inequalities and the emergence of chaos in discrete fractional systems. [PDF]
Sci RepArab M +3 more
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A generalized fractional model for one-step identification of membrane filtration clogging mechanisms. [PDF]
Sci RepCherifi L +9 more
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Non-Gaussian diffusion MRI using CTRW and FROC models for early treatment response assessment in nasopharyngeal carcinoma. [PDF]
BMC Med ImagingLiu J +8 more
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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,
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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,
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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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Special Fractional Curve Pairs with Fractional Calculus
International Electronic Journal of Geometry, 2022In this study, the effect of fractional derivatives, whose application area is increasing day by day, on curve pairs is investigated. As it is known, there are not many studies on a geometric interpretation of fractional calculus. When examining the effect of fractional analysis on a curve, the Conformable fractional derivative that fits the algebraic ...
Aykut Has, Beyhan Yılmaz
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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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