Fractional Sobolev inequalities associated with singular problems
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201700302
Abstract: In this paper we study Sobolev‐type inequalities associated with singular problems for the fractional p‐Laplacian operator in a bounded domain of RN, N≥2. read more here.
Keywords: sobolev inequalities; associated singular; fractional sobolev; problems fractional ... See more keywords
Ambrosetti–Prodi Type Results for Dirichlet Problems of Fractional Laplacian-Like Operators
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DOI: 10.1007/s00020-020-02584-7
Abstract: We establish Ambrosetti–Prodi type results for viscosity and classical solutions of nonlinear Dirichlet problems for fractional Laplace and comparable operators. In the choice of nonlinearities we consider semi-linear and super-linear growth cases separately. We develop… read more here.
Keywords: ambrosetti prodi; prodi type; problems fractional; results dirichlet ... See more keywords
Intermediate value problems for fractional differential equations
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DOI: 10.1007/s40314-021-01590-8
Abstract: Fractional differential equation approach is frequently used to describe long-term interactions in nonlinear systems. However, it results in difficulty in inverse problems as well as the numerical treatment. Numerical analysis of intermediate value problems and… read more here.
Keywords: intermediate value; fractional differential; differential equations; problems fractional ... See more keywords
ON NONLOCAL NONLINEAR ELLIPTIC PROBLEMS WITH THE FRACTIONAL LAPLACIAN
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DOI: 10.1017/s0017089518000538
Abstract: Abstract In this paper, we study the existence of positive solutions to a semilinear nonlocal elliptic problem with the fractional α-Laplacian on Rn, 0 < α < n. We show that the problem has infinitely… read more here.
Keywords: problems fractional; fractional laplacian; nonlocal nonlinear; elliptic problems ... See more keywords
The forward and inverse problems for a fractional boundary value problem
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DOI: 10.1080/00036811.2017.1376248
Abstract: ABSTRACT In this paper, the authors study the forward and inverse problems for a fractional boundary value problem with Dirichlet boundary conditions. The existence and uniqueness of solutions for the forward problem is first proved.… read more here.
Keywords: forward inverse; boundary value; inverse problems; problems fractional ... See more keywords
Boundary value problems for fractional-order differential inclusions in Banach spaces with nondensely defined operators
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DOI: 10.24193/fpt-ro.2021.1.20
Abstract: We consider a nonlocal boundary value problem for a semilinear differential inclusion of a fractional order in a Banach space assuming that its linear part is a non-densely defined HilleYosida operator. We apply the theory… read more here.
Keywords: problems fractional; boundary value; value; fractional order ... See more keywords
A Comparison of Parallel Algorithms for Numerical Solution of Parabolic Problems with Fractional Power Elliptic Operators
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DOI: 10.3390/axioms11030098
Abstract: In this article we construct parallel solvers analyze the efficiency and accuracy of general parallel solvers for three dimensional parabolic problems with the fractional power of elliptic operators. The proposed discrete method are targeted for… read more here.
Keywords: problems fractional; elliptic operators; fractional power; parallel algorithms ... See more keywords
On Positive Definite Kernels of Integral Operators Corresponding to the Boundary Value Problems for Fractional Differential Equations
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DOI: 10.3390/e24040515
Abstract: In the spectral analysis of operators associated with Sturm–Liouville-type boundary value problems for fractional differential equations, the problem of positive definiteness or the problem of Hermitian nonnegativity of the corresponding kernels plays an important role.… read more here.
Keywords: problem; problems fractional; value; fractional differential ... See more keywords
Bifurcation results for problems with fractional Trudinger-Moser nonlinearity
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DOI: 10.3934/dcdss.2018031
Abstract: By using a suitable topological argument based on cohomological linking and by exploiting a Trudinger-Moser inequality in fractional spaces recently obtained, we prove existence of multiple solutions for a problem involving the nonlinear fractional laplacian… read more here.
Keywords: bifurcation results; nonlinearity; moser; trudinger moser ... See more keywords