On positive solutions of fractional differential equations with change of sign
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DOI: 10.1002/mma.5619
Abstract: We study the existence and uniqueness of positive solutions of fractional differential equations with change of sign D0+α(u′′(t))=h(t)f(u(t)),0 read more here.
Keywords: change sign; solutions fractional; positive solutions; equations change ... See more keywords
On strong solutions of fractional nonlinear viscoelastic model of Voigt type
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DOI: 10.1002/mma.6359
Abstract: This paper concerns the existence and uniqueness of the strong solutions to the initial‐boundary value problems of fractional analog of Voigt model in the planar case. read more here.
Keywords: voigt; solutions fractional; strong solutions; model ... See more keywords
Infinitely Many Solutions for Fractional p-Kirchhoff Equations
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DOI: 10.1007/s00009-018-1124-x
Abstract: In this paper we consider the existence of infinitely many weak solutions for fractional Schrödinger–Kirchhoff problems. Precisely speaking, we investigate $$\begin{aligned} \left\{ \begin{array}{cl} M\left( \int _{\mathbb {R}^{2n}}\frac{|u(x)-u(y)|^p}{|x-y|^{n+sp}}\mathrm{d}x\mathrm{d}y\right) (-\triangle )_p^su+V(x)|u|^{p-2}u=f(x,u), &{}\quad \mathrm{in}~\Omega ,\\ u=0, &{}\quad \mathrm{in}~\mathbb… read more here.
Keywords: kirchhoff; solutions fractional; many solutions; infinitely many ... See more keywords
Existence and Multiplicity of Solutions for Fractional Elliptic Problems with Discontinuous Nonlinearities
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DOI: 10.1007/s00009-018-1188-7
Abstract: We consider the following fractional elliptic problem: $$\begin{aligned} (P)\left\{ \begin{array}{ll} (-\Delta )^s u = f(u) H(u-\mu )&{} \quad \text{ in } \ \Omega ,\\ u =0 &{}\quad \text{ on } \ \mathbb{{R}}^n {\setminus } \Omega… read more here.
Keywords: multiplicity solutions; existence multiplicity; solutions fractional; fractional elliptic ... See more keywords
Four Solutions for Fractional p-Laplacian Equations with Asymmetric Reactions
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DOI: 10.1007/s00009-021-01860-z
Abstract: We consider a Dirichlet type problem for a nonlinear, nonlocal equation driven by the degenerate fractional p -Laplacian, whose reaction combines a sublinear term depending on a positive parameter and an asymmetric perturbation (superlinear at… read more here.
Keywords: asymmetric reactions; solutions fractional; fractional laplacian; laplacian equations ... See more keywords
Nonnegative solutions for the fractional Laplacian involving a nonlinearity with zeros
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DOI: 10.1007/s00229-021-01275-w
Abstract: We study the nonlocal nonlinear problem $$\begin{aligned} \left\{ \begin{array}[c]{lll} (-\Delta )^s u = \lambda f(u) &{} \text{ in } \Omega , \\ u=0&{}\text{ on } \mathbb {R}^N{\setminus }\Omega , \quad (P_{\lambda }) \end{array} \right. \end{aligned}$$… read more here.
Keywords: fractional laplacian; lambda lambda; solutions fractional; lambda ... See more keywords
Classification of Stable Solutions to a Fractional Singular Elliptic Equation with Weight
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DOI: 10.1007/s10440-020-00347-5
Abstract: Let $p>0$ and $(-\Delta )^{s}$ is the fractional Laplacian with $0< s2s$ and $h$ is a nonnegative, continuous function satisfying $h(x)\geq C|x|^{a}$ , $a\geq 0$ , when $|x|$ large. We prove the nonexistence of positive… read more here.
Keywords: solutions fractional; fractional singular; elliptic equation; equation weight ... See more keywords
New analytic solutions of the fractional Vakhnenko–Parkes equation
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DOI: 10.1007/s11082-017-1194-1
Abstract: In the present paper, new analytical solutions for the fractional Vakhnenko–Parkes (VP) equation in the sense of the conformable derivative are obtained using the \(\exp (-\phi (\xi ))\) expansion method. The obtained traveling wave solutions… read more here.
Keywords: vakhnenko parkes; new analytic; solutions fractional; parkes equation ... See more keywords
Homogeneous $$(\alpha ,k)$$(α,k)-Polynomial Solutions of the Fractional Riesz System in Hyperbolic Space
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DOI: 10.1007/s11785-017-0666-4
Abstract: In this paper we study the fractional analogous of the Laplace–Beltrami equation and the hyperbolic Riesz system studied previously by H. Leutwiler, in $${\mathbb {R}}^3$$R3. In both cases we replace the integer derivatives by Caputo… read more here.
Keywords: polynomial solutions; fractional riesz; riesz system; solutions fractional ... See more keywords
Periodic solutions of fractional degenerate differential equations with delay in Banach spaces
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DOI: 10.1007/s11856-019-1884-4
Abstract: We characterize the Lp-well-posedness (resp. $$B_{p,q}^s$$ -well-posedness) for the fractional degenerate differential equations with finite delay: $$D^\alpha(Mu)(t)=Au(t)+Gu'_t+Fu_t+f(t),\;\;\;(t\in[0,2\pi]),$$ where α > 0 is fixed and A, M are closed linear operators in a Banach space X… read more here.
Keywords: degenerate differential; solutions fractional; differential equations; fractional degenerate ... See more keywords
Existence results to positive solutions of fractional BVP with $${\varvec{q}}$$q-derivatives
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DOI: 10.1007/s12190-016-1040-9
Abstract: This paper investigates the existence and uniqueness of positive and nondecreasing solution for nonlinear boundary value problem with fractional q-derivative $$\begin{aligned}&D_{q}^{\alpha }u(t)+f(t,u(t))=0, \quad {0 read more here.
Keywords: fractional bvp; solutions fractional; results positive; positive solutions ... See more keywords