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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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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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\(C^{1,\alpha }\) regularity for stationary mean-field games with logarithmic coupling
This paper investigates stationary mean-field games (MFGs) on the torus with Lipschitz non-homogeneous diffusion and logarithmic-like couplings. The...
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BV estimates on the transport density with Dirichlet region on the boundary
In this paper, we prove BV regularity on the transport density in the mass transport problem to the boundary in two dimensions under certain...
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Self-adaptive alternating direction method of multiplier for a fourth order variational inequality
We propose an alternating direction method of multiplier for approximation solution of the unilateral obstacle problem with the biharmonic operator....
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Bitsadze-Samarsky type problems with double involution
In this paper, the solvability of a new class of nonlocal boundary value problems for the Poisson equation is studied. Nonlocal conditions are...
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Common best proximity point theorems in Hausdorff topological spaces
In the present paper, we have obtained common best proximity point theorems of nonself maps in Hausdorff topological space. Further, our results...
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A Time-Periodic Parabolic Eigenvalue Problem on Finite Networks and Its Applications
In this paper, we investigate the eigenvalue problem of a time-periodic parabolic operator on a finite network. The network under consideration can...
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Solutions of the functional difference Toda equation from centered Darboux transformation
By using a particular Darboux transformation which we can call centered Darboux transformation, we construct solutions of the functional difference...
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Clifford-valued linear canonical wave-packet transform and corresponding uncertainty principles
In an effort to express Clifford-valued signals efficiently in time–frequency domain, we introduce the notion of the novel integral transform known...