In the present paper, we investigate the existence of solutions for coupled systems of ψ-Caputo semilinear fractional differential equations in Banach space with initial conditions. The stability of the relevant solu...
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In this article, we explore a specific class of hybrid fractional differential equations using the ψ-Caputo derivative and subject to initial value constraints. Precisely, we rigorously establish the existence and un...
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In this work, we study the local existence of weak solutions for a Kirchhoff-type problem involving the fractional p-Laplacian. Under appropriate assumptions, we obtain the existence of weak solutions by using the Gal...
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We are intrigued by the issues of shock instability,with a particular emphasis on numerical schemes that address the carbuncle phenomenon by reducing dissipation rather than increasing *** a specific class of planar f...
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We are intrigued by the issues of shock instability,with a particular emphasis on numerical schemes that address the carbuncle phenomenon by reducing dissipation rather than increasing *** a specific class of planar flow fields where the transverse direction exhibits vanishing but non-zero velocity components,such as a disturbed onedimensional(1D)steady shock wave,we conduct a formal asymptotic analysis for the Euler system and associated numerical *** analysis aims to illustrate the discrepancies among various low-dissipative numerical ***,a numerical stability analysis of steady shock is undertaken to identify the key factors underlying shock-stable *** verify the stability mechanism,a consistent,low-dissipation,and shock-stable HLLC-type Riemann solver is presented.
In this work, we explore the existence of solutions to an initial value problem for nonlinear neutral delay Ψ-Caputo fractional hybrid differential equations with bounded delays. The existence results are established...
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In this paper, we analyze a class of Dirichlet boundary value problems governed by nonlinear (α(z),β(z))-Laplacian operators in the framework of Musielak-Orlicz-Sobolev spaces with variable exponents. This approach ...
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This paper addresses the existence of weak solutions for a class of nonlinear Dirichlet boundary value problems governed by a double phase operator. The main results are established under precise assumptions on the no...
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In this paper, we propose a highly accurate scheme for two KdV systems of the Boussinesq type under periodic boundary conditions. The proposed scheme combines the Fourier-Galerkin method for spatial discretization wit...
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Multidimensional scaling (MDS) serves as a widely adopted methodology for projecting data on a finite metric space onto a lower-dimensional Euclidean space, with the goal of preserving pairwise distances as accurately...
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In this work, we have explored a fractional Newton’s Second Law of motion involving the ψ-Caputo operator of order α∈(1,2]. We proved the existence and uniqueness of solutions for different classes of force functi...
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