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Fractal and FractionalThis research aims to develop generalized fractional integral inequalities by utilizing multiple Erdélyi–Kober (E–K) fractional integral operators. Using a set of j, with (j∈N) positively continuous and decaying functions in the finite interval a≤t≤x ...
Asifa Tassaddiq +4 more
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Multiple Diamond-Alpha Integral in General Form and Their Properties, Applications
Mathematics, 2021 In this paper, we introduce the concept of n-dimensional Diamond-Alpha integral on time scales. In particular, it transforms into multiple Delta, Nabla and mixed integrals by taking different values of alpha.
Zhong-Xuan Mao +4 more
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On fractional order multiple integral transforms technique to handle three dimensional heat equation
Boundary Value Problems, 2022 In this article, we extend the notion of double Laplace transformation to triple and fourth order. We first develop theory for the extended Laplace transformations and then exploit it for analytical solution of fractional order partial differential ...
Tahir Khan +4 more
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RF and microwave photonic temporal signal processing with Kerr micro-combs
Advances in Physics: X, 2021 Integrated Kerr micro-combs are a powerful source of multiple wavelength channels for photonic radio frequency (RF) and microwave signal processing, particularly for transversal filter systems. They offer significant advantages featuring a compact device
Mengxi Tan +5 more
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Towards Distributed Lexicographically Fair Resource Allocation with an Indivisible Constraint
Mathematics, 2022 In the cloud computing and big data era, data analysis jobs are usually executed over geo-distributed data centers to make use of data locality. When there are not enough resources to fully meet the demands of all the jobs, allocating resources fairly ...
Chuanyou Li +3 more
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Physical Review Accelerators and Beams, 2021 This paper continues the work of two previous treatments of bunch lengthening by a passive harmonic cavity in an electron storage ring. Such cavities, intended to reduce the effect of Touschek scattering, are a feature of fourth generation synchrotron ...
Robert Warnock
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The art of composing: between autonomy and heteronomy
Techne, 2021 «Music conveys different meanings to everyone, and sometimes, it can even communicate different things at different times to the same person», Daniel Barenboim once said. This is tantamount to saying that music is influenced by the context in which it is
Cristina Frosini
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MULTIPLE FOURIER SERIES AND FOURIER INTEGRALS WITH NON-SEPARABLE VARIABLES
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. Integral transforms for functions of several variables are an actively developing area of mathematical analysis. Numerous applications in integral transforms method for solving equations of mathematical physics, in signal processing of ...
O. E. Yaremko +2 more
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A Distributional Approach to Multiple Stochastic Integrals and Transformations of the Poisson Measure [PDF]
Acta Applicandae Mathematicae, 2006 The authors study a class of `nonpoissonian' transformations of the configuration space and the corresponding transformations of the Poisson measure. For some class of Poisson measures they find conditions which are sufficient for the transformed measure (which in general is nonpoissonian) to be absolutely continuous with respect to the initial Poisson
Albeverio, Sergio, Smorodina, Nataliya
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Shock and Vibration, 2018 Based on Euler–Bernoulli beam theory, first, partial differential equations were established for the vibration of multiple simply supported beams subjected to moving loads.
Zhipeng Lai, Lizhong Jiang, Wangbao Zhou
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