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In this article, we study the following fractional Schrödinger-Poisson system: ε2s(−Δ)su+V(x)u+ϕu=f(u)+∣u∣2s*−2u,inR3,ε2t(−Δ)tϕ=u2,inR3,\left\{\begin{array}{ll}{\varepsilon }^{2s}{\left(-\Delta )}^{s}u+V\left(x)u+\phi u=f\left(u)+{| u| }^{{2}_{s}^{* }-2 ...
Feng Shenghao+2 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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Optimal Functional Inequalities for Fractional Operators on the Sphere and Applications. [PDF]
Dolbeault J, Zhang A.
europepmc +1 more source
Hölder regularity for parabolic fractional p-Laplacian. [PDF]
Liao N.
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SOLVING SOME FRACTIONAL ORDER DIFFERENTIAL EQUATIONS BY MEANS OF INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS [PDF]
NIKOLOVA, YANKA
core
Multiple positive solutions to a coupled systems of nonlinear fractional differential equations. [PDF]
Shah K, Khan RA.
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Solution of fractional bioheat equation in terms of Fox's H-function. [PDF]
Damor RS, Kumar S, Shukla AK.
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