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Titlebook: Mathematical Methods in Engineering; K. Taş,J. A. Tenreiro Machado,D. Baleanu Conference proceedings 2007 Springer Science+Business Media

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发表于 2025-3-21 18:53:14 | 显示全部楼层 |阅读模式
书目名称Mathematical Methods in Engineering
编辑K. Taş,J. A. Tenreiro Machado,D. Baleanu
视频video
概述Since it covers recent applications of Fractional Calculus, Wavelets and Neutrices it will be attractive to many engineers, scientists, and mathematicians
图书封面Titlebook: Mathematical Methods in Engineering;  K. Taş,J. A. Tenreiro Machado,D. Baleanu Conference proceedings 2007 Springer Science+Business Media
出版日期Conference proceedings 2007
关键词Signal; Wavelet; algorithm; algorithms; fuzzy; model; modeling; numerical analysis; operator; system modeling
版次1
doihttps://doi.org/10.1007/978-1-4020-5678-9
isbn_softcover978-90-481-7424-9
isbn_ebook978-1-4020-5678-9
copyrightSpringer Science+Business Media B.V. 2007
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Fractional spaces generated by the positive differential and difference operators in a Banach space+ ., with domain .(..) = {. ∈ ..[0, 1] : .(0) = .(1), .′(0) = .′(1)} is investigated. It is established that for any 0 < . < 1/2 the norms in the spaces ..(..[0, 1],..) and .. [0, 1] are equivalent. The positivity of the differential operator .. in .. [0, 1](0 ≤ . < 1/2) is established. The discrete
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Sub-diffusion equations of fractional order and their fundamental solutionser 1 — . in the Riemann-Liouville (R-L) sense or of order . in the Caputo (C) sense, with . ∈ (0, 1). The two forms are equivalent and the fundamental solution of the associated Cauchy problem is interpreted as a probability density of a self-similar non-Markovian stochastic process, related to a ph
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The composition and neutrix composition of distributionson . if the neutrix limit of the sequence {. .(.(.))} is ., where . .(.) = .(.)*. .(.) for . = 1, 2, . . . and {. .(.)} is a certain regular sequence converging to the Dirac delta funcion. In particular, the composition .(.(.)) is said to exist and be equal to the distribution . if the sequence {. .
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Some remarks on the incomplete gamma functionded to negative, non integer value of α. Recently Fisher et al. [.] defined γ(−., .) for . = 0, 1, 2, . . . . In this paper we consider the derivatives of the incomplete Gamma function γ(α, .) and the derivatives of locally summable function γ(α, . .) = .(.)γ(α, .) for negative integers, where .(.)
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