LAUSR

Matrix Transfer Technique for Anomalous Diffusion Equation Involving Fractional Laplacian

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0 Published in 2021 at "Applied Numerical Mathematics"

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

The Nehari manifold for a class of Schrödinger equation involving fractional p-Laplacian and sign-changing logarithmic nonlinearity

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0 Published in 2019 at "Journal of Mathematical Physics"

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−2u⁡log|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

Ground State Solution of Pohožaev Type for Quasilinear Schrödinger Equation Involving Critical Exponent in Orlicz Space

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1 Published in 2019 at "Mathematics"

DOI: 10.3390/math7090779

Abstract: We study the following quasilinear Schrödinger equation involving critical exponent - Δ u + V ( x ) u - Δ ( u 2 ) u = A ( x ) | u | p… read more here.

Keywords: schr dinger; quasilinear schr; dinger equation; critical exponent ... See more keywords

Fractional Langevin Equation Involving Two Fractional Orders: Existence and Uniqueness Revisited

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0 Published in 2020 at "Mathematics"

DOI: 10.3390/math8050743

Abstract: We consider the nonlinear fractional Langevin equation involving two fractional orders with initial conditions. Using some basic properties of Prabhakar integral operator, we find an equivalent Volterra integral equation with two parameter Mittag–Leffler function in… read more here.

Keywords: equation involving; langevin equation; two fractional; fractional langevin ... See more keywords

An Investigation of an Integral Equation Involving Convex–Concave Nonlinearities

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0 Published in 2021 at "Mathematics"

DOI: 10.3390/math9192372

Abstract: We investigate the existence and uniqueness of positive solutions to an integral equation involving convex or concave nonlinearities. A numerical algorithm based on Picard iterations is provided to obtain an approximation of the unique solution.… read more here.

Keywords: convex concave; integral equation; equation involving; concave nonlinearities ... See more keywords