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On the Laplace-Type Transform and Its Applications

open access: yesAxioms
Using the Laplace transform and the Gamma function, we obtain the Laplace-type transform, with the property of mapping a function to a functional sequence, which cannot be realized by the Laplace transform. In addition, we construct a backward difference
Slobodan B. Tričković   +1 more
doaj   +1 more source

Pervasiveness of the p-Laplace operator under localization of fractional g-Laplace operators

open access: yesJournal of Nonlinear and Variational Analysis
In this work we analyze the behavior of truncated functionals as \begin{equation*} \int_{\mathbb{R}^N}\int_{B(x,δ)} G\left(\frac{|u(x)-u(y)|}{|x-y|^{s}}\right)\frac{dydx}{|x-y|^N}\qquad\text{for }δ\to0^+. \end{equation*} Here the function $G$ is an Orlicz function that in addition is assumed to be a regularly varying function at $0$.
openaire   +4 more sources

Zeroing Operators for Differential Initial Values Applied to Fractional Operators in the Self-Congruent Physical Space

open access: yesFractal and Fractional
Non-zero differential initial values hinder the application of fractional operator theory in practical systems. This paper proposes a differential initial values zeroing method, decomposing functions with non-zero differential initial values into a ...
Gang Peng   +5 more
doaj   +1 more source

Bohr phenomena for Laplace-Beltrami operators

open access: yesIndagationes Mathematicae, 2006
The classical theorem of \textit{H. Bohr} [Proc. Lond. Math. Soc. 13, 1--5 (1914; JFM 44.0289.01)] involved power series \(\sum_m a_mz^m\) mapping the unit disc \(\mathbb D\) into itself, and stated that there exists a radius \(R\) such that \(\sum_m| a_mz^m|
openaire   +5 more sources

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