A fractional eigenvalue problem in $\mathbb{R}^N$ [PDF]
arXiv, 2015 We prove that a linear fractional operator with an asymptotically constant lower order term in the whole space admits eigenvalues.
arxiv
Singular Fractional Choquard Equation with a Critical Nonlinearity and a Radon measure [PDF]
arXiv, 2020 This article concerns about the existence of a positive SOLA (Solutions Obtained as Limits of Approximations) for the following singular critical Choquard problem involving fractional power of Laplacian and a critical Hardy potential.
arxiv
Variational inequalities for the fractional Laplacian [PDF]
arXiv, 2015 In this paper we study the obstacle problems for the fractional Lapalcian of order $s\in(0,1)$ in a bounded domain $\Omega\subset\mathbb R^n$, under mild assumptions on the data.
arxiv
Global compactness results for nonlocal problems [PDF]
arXiv, 2016 We obtain a Struwe type global compactness result for a class of nonlinear nonlocal problems involving the fractional $p-$Laplacian operator and nonlinearities at critical growth.
arxiv
A fractional order Covid-19 epidemic model with Mittag-Leffler kernel. [PDF]
Chaos Solitons Fractals, 2021 Khan H +5 more
europepmc +1 more source
Perron's Method and Wiener's Theorem for a Nonlocal Equation [PDF]
arXiv, 2016 We study the Dirichlet problem for non-homogeneous equations involving the fractional $p$-Laplacian. We apply Perron's method and prove Wiener's resolutivity theorem.
arxiv
A note on the Dancer–Fučík spectra of the fractional p-Laplacian and Laplacian operators
Advances in Nonlinear Analysis, 2015 We study the Dancer–Fučík spectrum of the fractional p-Laplacian operator. We construct an unbounded sequence of decreasing curves in the spectrum using a suitable minimax scheme. For p = 2, we present a very accurate local analysis.
Perera Kanishka +2 more
doaj +1 more source
Weak solutions of fractional differential equations in non cylindrical domain [PDF]
arXiv, 2016 We study a time fractional heat equation in a noncylindrical domain. The problem is one-dimensional. We prove existence of properly defined weak solutions by means of the Galerkin approximation.
arxiv
Numerical Solution of Two-Dimensional Time Fractional Mobile/Immobile Equation Using Explicit Group Methods. [PDF]
Int J Appl Comput Math, 2022 Salama FM, Ali U, Ali A.
europepmc +1 more source
Nonlocal problems with singular nonlinearity [PDF]
arXiv, 2016 We investigate existence and uniqueness of solutions for a class of nonlinear nonlocal problems involving the fractional $p$-Laplacian operator and singular nonlinearities.
arxiv