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Homogenization of a Parabolic Equation in a Perforated Domain with a Unilateral Dynamic Boundary Condition: Critical Case
The present paper studies the homogenization of the parabolic equation stated in a domain perforated by “tiny” balls. On the boundary of these...
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Maslov Complex Germ and Semiclassical Contracted States in the Cauchy Problem for the Schrödinger Equation with Delta Potential
We describe the semiclassical asymptotic behavior of the solution of the Cauchy problem for the Schrödinger equation with a delta potential localized...
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Investigations on uniqueness of meromorphic functions in the k-punctured complex plane
In this paper, we have exhaustively studied the uniqueness of meromorphic function sharing five small functions in k -punctured complex plane, under...
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Remarks on control and inverse problems for PDEs
This paper deals with recent results and open questions on the control and parameter identification of systems governed by PDEs. Among them, we find...
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Novel analysis of nonlinear seventh-order fractional Kaup–Kupershmidt equation via the Caputo operator
In this work, we use two unique methodologies, the homotopy perturbation transform method and Yang transform decomposition method, to solve the...
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Robust numerical scheme for 2D fractional integro-differential equations of Volterra type
This article provides a numerical study of two-dimensional Volterra integro-differential equations involving fractional derivatives in the Caputo...
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Finite time stability analysis for fractional stochastic neutral delay differential equations
In this manuscript, we investigate a fractional stochastic neutral differential equation with time delay, which includes both deterministic and...
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The Ising model celebrates a century of interdisciplinary contributions
The centennial of the Ising model marks a century of interdisciplinary contributions that extend well beyond ferromagnets, including the evolution of...
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Numerical simulation of high-frequency induction welding in longitudinal welded tubes
In the present paper the high-frequency induction welding process is studied numerically. The mathematical model comprises a harmonic vector...
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Variational problems for the system of nonlinear Schrödinger equations with derivative nonlinearities
We consider the Cauchy problem of the system of nonlinear Schrödinger equations with derivative nonlinearlity. This system was introduced by Colin...
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Epidemic modelling by birth-death processes with spatial scaling
In epidemic modeling, interpretation of compartment quantities, such as s , i , and r in relevant equations, is not always straightforward. Ambiguities...
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Quantum Fibrations: Quantum Computation on an Arbitrary Topological Space
Using operator algebras, we extend the theory of quantum computation on a graph to a theory of computation on an arbitrary topological space. Quantum...