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Ψ-Bielecki-type norm inequalities for a generalized Sturm–Liouville–Langevin differential equation involving Ψ-Caputo fractional derivative
The present research work investigates some new results for a fractional generalized Sturm–Liouville–Langevin (FGSLL) equation involving the Ψ -Caputo...
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A Lipschitz metric for \(\alpha \)-dissipative solutions to the Hunter–Saxton equation
We explore the Lipschitz stability of solutions to the Hunter–Saxton equation with respect to the initial data. In particular, we study the stability...
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Parameter analysis in continuous data assimilation for three-dimensional Brinkman–Forchheimer-extended Darcy model
In this paper, we study analytically the long-time behavior of three-dimensional Brinkman–Forchheimer-extended Darcy model, in the context that the...
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On the existence of solutions for nonlocal sequential boundary fractional differential equations via ψ-Riemann–Liouville derivative
The purpose of this paper is to study a generalized Riemann–Liouville fractional differential equation and system with nonlocal boundary conditions....
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Study of a class of fractional-order evolution hybrid differential equations using a modified Mittag-Leffler-type derivative
This work is devoted to using topological degree theory to establish a mathematical analysis for a class of fractional-order evolution hybrid...
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Blow-up of solutions for a system of nonlocal singular viscoelastic equations with sources and distributed delay terms
In this paper, we investigate a scenario concerning a coupled nonlocal singular viscoelastic equation with sources and distributed delay terms. By...
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A New Parallel Algorithm for Solving a Class of Variational Inequalities
In this paper, we study the variational inequality over the solution set of the split common solution problem with multiple output sets for monotone...
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The Hadamard–Bergman Convolution on the Half-Plane
We introduce the Hadamard–Bergman convolution on the half-plane. We show that it exists in terms of the Hadamard product and it is commutative on the...
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Weighted fractional inequalities for new conditions on h-convex functions
We use a new function class called B -function to establish a novel version of Hermite–Hadamard inequality for weighted ψ -Hilfer operators....
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Complete Left Tail Asymptotic for the Density of Branching Processes in the Schröder Case
For the density of Galton-Watson processes in the Schröder case, we derive a complete left tail asymptotic series consisting of power terms...
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Physical Space Approach to Wave Equation Bilinear Estimates Revisit
In the paper by Klainerman, Rodnianski and Tao [
7 ], they give a physical space proof to a classical result of Klainerman and Machedon [3 ] for the... -
A new kind of double phase problems governed by anisotropic matrices diffusion
We investigate a class of double phase elliptic problems governed by matrices diffusion. We establish the existence and uniqueness of weak solutions...
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Uniqueness of continuation for semilinear elliptic equations
We quantify the uniqueness of continuation from Cauchy or interior data. Our approach consists in extending the existing results in the linear case....
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On the regular solutions for a generalized compressible Landau–Lifshitz–Bloch equation
In this paper, first we will prove that the regular solution for the compressible Landau–Lifshitz–Bloch equation found in (Ayouch, C., Benmouane, M....
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Global weak solutions to a phase-field model for seawater solidification with melt convection
This paper is concerned with the study of mathematical analysis of a phase-field model of solidification with the possibility of flow occurring in...
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Highly Non-contractive Iterated Function Systems on Euclidean Space Can Have an Attractor
Iterated function systems (IFSs) and their attractors have been central to the theory of fractal geometry almost from its inception. Moreover,...
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Hardy spaces of meta-analytic functions and the Schwarz boundary value problem
We extend representation formulas that generalize the similarity principle of solutions to the Vekua equation to certain classes of meta-analytic...
