Non-local Diffusion Equations Involving the Fractional $$p(\cdot )$$p(·)-Laplacian
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DOI: 10.1007/s10884-019-09745-2
Abstract: In this paper we study a class of nonlinear quasi-linear diffusion equations involving the fractional $$p(\cdot )$$p(·)-Laplacian with variable exponents, which is a fractional version of the nonhomogeneous $$p(\cdot )$$p(·)-Laplace operator. The paper is divided… read more here.
Keywords: involving fractional; cdot laplacian; fractional cdot; diffusion equations ... See more keywords
Inequalities Involving Fractional Integrals of a Function and Its Derivative
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DOI: 10.1007/s10958-019-04436-1
Abstract: New inequalities for fractional integrals of a function and its derivative are proved. Lower estimates of weighted norms of the derivative through fractional Riemann–Liouville integrals are obtained. read more here.
Keywords: involving fractional; function derivative; integrals function; fractional integrals ... See more keywords
Matrix Transfer Technique for Anomalous Diffusion Equation Involving Fractional Laplacian
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DOI: 10.1016/j.apnum.2021.10.006
Abstract: Abstract The fractional Laplacian, ( − △ ) s , s ∈ ( 0 , 1 ) , appears in a wide range of physical systems, including Levy flights, some stochastic interfaces, and theoretical physics… read more here.
Keywords: equation involving; involving fractional; matrix transfer; fractional laplacian ... See more keywords
On critical systems involving fractional Laplacian
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DOI: 10.1016/j.jmaa.2016.08.069
Abstract: Abstract Consider the following non-local critical system (0.1) { ( − Δ ) s u − λ 1 u = μ 1 | u | 2 ⁎ − 2 u + α γ 2 ⁎… read more here.
Keywords: involving fractional; critical systems; systems involving; fractional laplacian ... See more keywords
The Nehari manifold for a class of Schrödinger equation involving fractional p-Laplacian and sign-changing logarithmic nonlinearity
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DOI: 10.1063/1.5084062
Abstract: In this paper, we study the Schrodinger equation involving fractional p-Laplacian on the whole space of the form (−Δ)psu+V(x)|u|p−2u=λK(x)|u|p−2u+μQ(x)|u|p−2ulog|u|, with the sign-changing weight function Q and the possibly vanishing potential V. By using the relationship… read more here.
Keywords: involving fractional; equation involving; nehari manifold; fractional laplacian ... See more keywords
On some singular problems involving the fractional p(x,.) -Laplace operator
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DOI: 10.1080/00036811.2021.1950693
Abstract: The purpose of the present paper is to study the existence of solutions for the following nonhomogeneous singular problem involving the fractional p(x,.)-Laplace operator {(−Δ)p(x,.)su+|u|q(x)−2u=g... read more here.
Keywords: laplace operator; involving fractional; fractional laplace; singular problems ... See more keywords
Electrical circuits RC and RL involving fractional operators with bi-order
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DOI: 10.1177/1687814017707132
Abstract: This article describes electrical series circuits RC and RL using the concept of derivative with two fractional orders α and β in Liouville–Caputo sense. The fractional equations consider derivatives in the range of α ,… read more here.
Keywords: involving fractional; liouville caputo; circuits involving; operators order ... See more keywords
Infinitely many sign-changing solutions for the Brézis-Nirenberg problem involving the fractional Laplacian
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DOI: 10.1515/fca-2017-0061
Abstract: Abstract In this paper, we consider the following Brézis-Nirenberg problem involving the fractional Laplacian operator: (−Δ)su=λu+|u|2s∗−2uinΩ,u=0on∂Ω,$$\begin{array}{} \displaystyle\left\{\begin{array}{ll} (-\Delta)^s u=\lambda u+|u|^{2_s^{*}-2}u & \textrm{in}\ \, \Omega, \\ u=0 & \textrm{on}\ \, \partial\Omega, \end{array} \right. \end{array} $$ where… read more here.
Keywords: involving fractional; array; problem involving; problem ... See more keywords