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Exact travelling wave solution for the local fractional Camassa-Holm-Kadomtsev-Petviashvili equation
In this work, the local fractional Camassa-Holm-Kadomtsev–Petviashvili equation (LFCHKPE) is defined on Cantor sets by using the local fractional derivative for the first time.
KangLe Wang
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In this paper, we prove a couple of approximation results for local existence and uniqueness of the solution of a IVP of nonlinear first order ordinary hybrid integrodifferential equations by using the Dhage monotone iteration method based on a hybrid ...
J. Dhage, B. Dhage
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The aim of this paper is to investigate the local weak existence and vacuum isolating of solutions, asymptotic behavior, and blow-up of the solutions for a wave equation involving the fractional Laplacian with nonlinear source.
Younes Bidi +6 more
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NLocalSAT: Boosting Local Search with Solution Prediction [PDF]
The Boolean satisfiability problem (SAT) is a famous NP-complete problem in computer science. An effective way for solving a satisfiable SAT problem is the stochastic local search (SLS). However, in this method, the initialization is assigned in a random
Wenjie Zhang +6 more
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This article is devoted to a study of the question of existence (in time) of weak solutions and the derivation of qualitative properties of such solutions for the nonlinear viscoelastic wave equation with variable exponents and minor damping terms.
Mohamed Karek +7 more
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The Local Co-Working Hub: A Merging Solution
The coronavirus pandemic has brought unprecedented challenges and has changed society; some of these changes seem temporary, and others seem permanent. The uncertainty of the duration of this pandemic has introduced changes without the knowledge of how ...
Bahareh Motamed +1 more
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Local-solution approach to quasistatic rate-independent mixed-mode delamination [PDF]
The quasistatic rate-independent evolution of a delamination at small strains in the so-called mixed mode, i.e.~distinguishing opening (Mode I) from shearing (Mode II) is rigorously analyzed in the context of a concept of stress-driven local solutions ...
T. Roubíček +2 more
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On extension of solutions of a simultaneous system of iterative functional equations [PDF]
Some sufficient conditions which allow to extend every local solution of a simultaneous system of equations in a single variable of the form \[ \varphi(x) = h (x, \varphi[f_1(x)],\ldots,\varphi[f_m(x)]),\] \[\varphi(x) = H (x, \varphi[F_1(x)],\ldots ...
Janusz Matkowski
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The Local and Electronic Structure Study of LuxGd1−xVO4 (0 ≤ x ≤ 1) Solid Solution Nanocrystals
Rare-earth-doped mixed crystals have demonstrated tunable optical properties, and it is of great importance to study the structural characteristics of the mixed-crystal hosts.
Yang Chen +5 more
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Local Solution and Extension to the Calabi Flow [PDF]
We consider the local solution of the Calabi flow for rough initial data. In particular, we prove that for any smooth metric, there is a Cα neighborhood such that the Calabi flow has a short time solution for any Cα metric in the neighborhood.
Wei-Yong He
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