Results 241 to 250 of about 60,244 (278)

Balanced fractional opial inequalities

Chaos, Solitons & Fractals, 2009
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Fractional Opial Type Inequalities and Fractional Differential Equations

Results in Mathematics, 2002
The authors prove various versions of the weighted Opial inequality of the general form \[ \int_a^b|D^{\nu_1}f(x)|^\alpha |D^{\nu_2}f(x)|^\beta q(x) dx \leq K \left(\int_a^b|D^{\nu_1}f(x)|^\delta|D^{\nu_2}f(x)|^\varepsilon p(x) dx \right)^\zeta \] and give their application to uniqueness theorems for a Cauchy type problem for a certain linear ...
Anastassiou, George A., Goldstein, Jerome A.   +1 more
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General Fractional Opial Type Inequalities

Acta Applicandae Mathematica, 1998
The so-called Opial inequality involving fractional derivatives is known in the literature, one of them being due to E. R. Love [see references, for example, in the book by the reviewer and \textit{A. A. Kilbas} and \textit{O. I. Marichev}, ``Fractional integrals and derivatives. Theory and applications'' (1993; Zbl 0818.26003), p. 311].
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Local Fractional Inequalities

2019
This research is about inequalities in a local fractional setting. The author presents the following types of analytic local fractional inequalities: Opial, Hilbert-Pachpatte, Ostrowski, comparison of means, Poincare, Sobolev, Landau, and Polya–Ostrowski.
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Conformable Fractional Inequalities

2019
This is a long journey in the modern realm of Conformable fractional differentiation. In that setting the author presents the following types of analytic inequalities: Landau, Hilbert–Pachpatte, Ostrowski, Opial, Poincare, and Sobolev inequalities. We present uniform and Lp results, involving left and right conformable fractional derivatives, as well ...
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Fractional Milne type inequalities

Summary: In the literature, there are several numerical integration formulas and many researchers have been investigating the error bounds of these formulas forseveral function classes such as convex functions, bounded functions, Lipschitzian functions, functions of bounded variation, etc. In thisresearch article, we obtain some Milne type inequalities
BUDAK, HÜSEYİN, Karagözoğlu, P.
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Fractional Sobolev-type inequalities

Applicable Analysis, 2008
Here we present univariate Sobolev-type fractional inequalities involving fractional derivatives of Canavati, Riemann–Liouville and Caputo types. The results are general L p inequalities forward and converse on a closed interval. We give an application to a fractional ODE. We present also the mean Sobolev-type fractional inequalities.
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General Fractional Landau Inequalities

2021
We present uniform and \(L_{p}\) mixed Caputo–Bochner abstract fractional Landau inequalities over \(\mathbb {R}\) of fractional orders ...
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Caputo Fractional Iyengar Inequalities

2020
Here we present Caputo fractional Iyengar type inequalities with respect to \( L_{p}\) norms, with \(1\le p\le \infty \). The method is based on the right and left Caputo fractional Taylor’s formulae. See also [3].
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Fractional Chern insulators in magic-angle twisted bilayer graphene

Nature, 2021
Yonglong Xie, Jeong Min Park, Daniel E Parker   +2 more
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