On a comprehensive model of the novel coronavirus (COVID-19) under Mittag-Leffler derivative. [PDF]
Abdo MS, Shah K, Wahash HA, Panchal SK.
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Petrov-Galerkin method for small deflections in fourth-order beam equations in civil engineering
This study explores the Petrov–Galerkin method’s application in solving a linear fourth-order ordinary beam equation of the form u″″+qu=fu^{\prime\prime} ^{\prime\prime} +qu=f.
Youssri Youssri Hassan +3 more
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Penalty method for unilateral contact problem with Coulomb's friction in time-fractional derivatives
The purpose of this work is to study a mathematical model that describes a contact between a deformable body and a rigid foundation. A linear viscoelastic Kelvin-Voigt constitutive law with time-fractional derivatives describes the material’s behavior ...
Essafi Lakbir, Bouallala Mustapha
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Multiple concentrating solutions for a fractional (p, q)-Choquard equation
We focus on the following fractional (p, q)-Choquard problem: (−Δ)psu+(−Δ)qsu+V(εx)(|u|p−2u+|u|q−2u)=1|x|μ*F(u)f(u) in RN,u∈Ws,p(RN)∩Ws,q(RN),u>0 in RN, $\begin{cases}{\left(-{\Delta}\right)}_{p}^{s}u+{\left(-{\Delta}\right)}_{q}^{s}u+V\left(\varepsilon ...
Ambrosio Vincenzo
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Higher-dimensional physical models with multimemory indices: analytic solution and convergence analysis. [PDF]
Jaradat I +4 more
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Fundamental solutions for semidiscrete evolution equations via Banach algebras. [PDF]
González-Camus J, Lizama C, Miana PJ.
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We study the existence problem for semilinear equations (E): −Au = f(⋅, u) + μ, with Borel measure μ and operator A that generates a symmetric Markov semigroup.
Klimsiak Tomasz
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Singular boundary behaviour and large solutions for fractional elliptic equations. [PDF]
Abatangelo N +2 more
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Monotonicity of solutions for parabolic equations involving nonlocal Monge-Ampère operator
In this article, we consider the parabolic equations with nonlocal Monge-Ampère operators ∂u∂t(x,t)−Dsθu(x,t)=f(u(x,t)),(x,t)∈R+n×R.\frac{\partial u}{\partial t}\left(x,t)-{D}_{s}^{\theta }u\left(x,t)=f\left(u\left(x,t)),\hspace{1.0em}\left(x,t)\in ...
Du Guangwei, Wang Xinjing
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