Nonnegative Solutions of Initial Value Problems for Langevin Equations Involving Two Fractional Orders
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DOI: 10.1007/s00009-018-1213-x
Abstract: In this paper, we study the existence and uniqueness of nonnegative solutions of an initial value problem for Langevin equations involving two fractional orders: $$\begin{aligned} \left\{ \begin{array}{lll}^c_0\!D^\beta _t({}^c_0\!D^\alpha _t-\gamma )x(t)=f(t,x(t)),&{}\quad \ 0< t read more here.
Keywords: solutions initial; initial value; nonnegative solutions; langevin equations ... See more keywords
Non-local Diffusion Equations Involving the Fractional $$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
Eigenvalue intervals for nonlocal fractional order differential equations involving derivatives
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DOI: 10.1007/s12190-016-1028-5
Abstract: In this paper, we firstly consider the nonlocal fractional order differential equations involving derivatives. By means of a fixed-point theorem on a cone, the eigenvalue intervals of the above problem are established. Then by using… read more here.
Keywords: involving derivatives; fractional order; nonlocal fractional; differential equations ... See more keywords
On a class of Kirchhoff equations involving an anisotropic operator and potential
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DOI: 10.1007/s40065-020-00304-y
Abstract: In this work, we are concerned with a class of fractional equations of Kirchhoff type with potential. Using variational methods and a variant of quantitative deformation lemma, we prove the existence of a least energy… read more here.
Keywords: anisotropic operator; class kirchhoff; class; kirchhoff equations ... See more keywords
Boundedness of stable solutions to nonlinear equations involving the p-Laplacian
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DOI: 10.1016/j.jmaa.2020.124122
Abstract: Abstract We consider stable solutions to the equation − Δ p u = f ( u ) in a smooth bounded domain Ω ⊂ R n for a C 1 nonlinearity f. Either in the… read more here.
Keywords: stable solutions; involving laplacian; nonlinear equations; solutions nonlinear ... See more keywords
Computing primary solutions of equations involving primary matrix functions
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DOI: 10.1016/j.laa.2018.09.010
Abstract: Abstract The matrix equation f ( X ) = A , where f is an analytic function and A is a square matrix, is considered. Some results on the classification of solutions are provided. When… read more here.
Keywords: solutions equations; involving primary; primary matrix; primary solutions ... See more keywords
Liouville type results for systems of equations involving fractional Laplacian in exterior domains
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DOI: 10.1088/1361-6544/ab091b
Abstract: In this article we present a simple and unified probabilistic approach to prove nonexistence of positive super-solutions for systems of equations involving potential terms and the fractional Laplacian in an exterior domain. Such problems arise… read more here.
Keywords: fractional laplacian; systems equations; laplacian exterior; liouville type ... See more keywords
On Diophantine equations involving Lucas sequences
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DOI: 10.1515/math-2019-0073
Abstract: Abstract In this paper, we shall study the Diophantine equation un = R(m)P(m)Q(m), where un is a Lucas sequence and R, P and Q are polynomials (under weak assumptions). read more here.
Keywords: involving lucas; lucas sequences; lucas; diophantine equations ... See more keywords