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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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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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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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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The aim of this present work is dedicated to investigating the existence of the solution for $$\phi $$ -Hilfer fractional double phase problem with nonlocal nonlinearity in the space $${\mathbb {H}}_{\Theta , 0}^{\alp...
The aim of this present work is dedicated to investigating the existence of the solution for $$\phi $$ -Hilfer fractional double phase problem with nonlocal nonlinearity in the space $${\mathbb {H}}_{\Theta , 0}^{\alpha , \beta , \phi }(\Omega )$$ . We achieve our result by employing the variational approach and Brouwer degree theory, which we establish in detail through specific conditions. The discussed problem admits sign-changing solutions.
In this work, we study the local existence of weak solutions for a Kirchhoff-type problem involving the fractional p-Laplacian. Under appropriate assumptions, we obtain the existence of weak solutions by using the Gal...
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In this paper, we analyze a class of Dirichlet boundary value problems governed by nonlinear $$(\alpha (z),\beta (z))$$ -Laplacian operators in the framework of Musielak-Orlicz-Sobolev spaces with variable exponents. ...
In this paper, we analyze a class of Dirichlet boundary value problems governed by nonlinear $$(\alpha (z),\beta (z))$$ -Laplacian operators in the framework of Musielak-Orlicz-Sobolev spaces with variable exponents. This approach offers a robust investigation into the existence of weak solutions for nonlinear systems characterized by variable growth conditions and nonlinearity. We leverage Young measures to effectively manage weak convergence and apply the Galerkin method to construct the solutions, ensuring a comprehensive understanding of the proposed problem.
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