Homotopy analysis method for solving fuzzy Nonlinear Volterra integral equation of the second kind
This paper introduces the homotopy analytic HAM, an effective and reliable method for solving computationally challenging fuzzy Volterra nonlinear integral equations of the second type. Numerical examples are provide to demonstrate the accuracy of HAM.
Rana Hussein, Moez Khenissi
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Two Models for the Homotopy Theory of Cocomplete Homotopy Theories
We prove that the homotopy theory of cofibration categories is equivalent to the homotopy theory of cocomplete quasicategories. This is achieved by presenting both homotopy theories as fibration categories and constructing an explicit equivalence between them.
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Lorentz covariance of the 4d nonlinear higher-spin equations via BRST
We propose a BRST extension of the higher-spin gauge theory in AdS4 with the BRST operator associated with the local Lorentz symmetry. Our construction supports manifest local Lorentz covariance and is applicable both to any homotopy scheme of the ...
O.A. Gelfond, M.A. Vasiliev
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Lifting Properties for A-Homotopy Theory
In classical homotopy theory, two spaces are considered homotopy equivalent if one space can be continuously deformed into the other. This theory, however, does not respect the discrete nature of graphs. For this reason, a discrete homotopy theory that recognizes the difference between the vertices and edges of a graph was invented, called A-homotopy ...
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Out-of-time-order asymptotic observables are quasi-isomorphic to time-ordered amplitudes
Asymptotic observables in quantum field theory beyond the familiar S-matrix have recently attracted much interest, for instance in the context of gravity waveforms.
Leron Borsten +2 more
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Hybrid expansion methods for fractional non-linear mathematical systems with Erdelyi-Kober derivative operators in theory of tsunami wave modeling. [PDF]
Damag FH +5 more
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Second law analysis of Casson Darcy-Forchheimer flow in two-phase nanomaterials with solar radiation and microbial cells using Homann mixed convection modeling. [PDF]
Kashif AN, Zaheer KB, Saeed AM, Liu H.
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A flexible framework for hyperparameter optimization using homotopy and surrogate models. [PDF]
Abraham SJ +5 more
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An infinite dimensional Saddle Point Theorem and application. [PDF]
Colin F, Songo A.
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Electric-Current-Assisted Nucleation of Zero-Field Hopfion Rings. [PDF]
Chen X +12 more
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