Existence of positive solutions for integral boundary value problems of fractional differential equations on infinite interval
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DOI: 10.1002/mma.4106
Abstract: In this paper, we consider a class of nonlinear fractional differential equations on the infinite interval D0+αu(t)+ft,u(t),D0+α−1u(t)=0,t∈(0,+∞), with the integral boundary conditions u(0)=0,D0+α−1u(∞)=∫0τg1(s)u(s)ds+a,D0+α−2u(0)=∫0τg2(s)u(s)ds+b. By using Krasnoselskii fixed point theorem, the existence results of positive solutions… read more here.
Keywords: infinite interval; positive solutions; integral boundary; fractional differential ... See more keywords
The Positive Solutions for Integral Boundary Value Problem of Fractional p-Laplacian Equation with Mixed Derivatives
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DOI: 10.1007/s00009-017-0895-9
Abstract: In this paper, we consider a class of integral boundary value problems of fractional p-Laplacian equation, which involve both Riemann–Liouville fractional derivative and Caputo fractional derivative. By using the generalization of Leggett–Williams fixed point theorem,… read more here.
Keywords: fractional laplacian; positive solutions; value; integral boundary ... See more keywords
On the structure of discrete spectrum of a non-selfadjoint system of differential equations with integral boundary condition
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DOI: 10.1007/s10910-017-0737-9
Abstract: In this paper, we investigated the spectrum of the operator $$L(\lambda )$$L(λ) generated in Hilbert Space of vector-valued functions $$L_{2}(\mathbb {R}_{+},C_{2})$$L2(R+,C2) by the system $$\begin{aligned} iy_{1}^{'}(x,\lambda )+q_{1}(x)y_{2}(x,\lambda )&=\lambda y_{1}(x,\lambda )\\ -iy_{2}^{'}(x,\lambda )+q_{2}(x)y_{1}(x,\lambda )&=\lambda y_{2}(x,\lambda ),x\in… read more here.
Keywords: lambda; lambda lambda; boundary condition; spectrum ... See more keywords
On Boundary Values of Three-Harmonic Poisson Integral on the Boundary of a Unit Disk
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DOI: 10.1007/s11253-018-1548-2
Abstract: Let C0 be a curve in a disk D = {|z| < 1} tangential to a circle at the point z = 1 and let Cθ be the result of rotation of this curve by… read more here.
Keywords: values three; harmonic poisson; three harmonic; integral boundary ... See more keywords
Integral boundary value problems for nonlinear non-instantaneous impulsive differential equations
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DOI: 10.1007/s12190-016-1025-8
Abstract: In this paper, we study integral boundary value problems for two classes of nonlinear non-instantaneous impulsive ordinary differential equations. More precisely, one is integer order impulsive model, the other is fractional order impulsive model. By… read more here.
Keywords: nonlinear non; instantaneous impulsive; integral boundary; boundary value ... See more keywords
Existence results for $$(n-1,1)$$(n-1,1)-type nonlocal integral boundary value problems for coupled systems of fractional differential equations at resonance
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DOI: 10.1007/s12190-016-1075-y
Abstract: In this paper, a coupled system of $$(n-1,1)$$(n-1,1)-type nonlinear fractional differential equations with nonlocal integral boundary conditions is considered. The existence of solutions is obtained by means of the coincidence degree theory due to Mawhin. read more here.
Keywords: nonlocal integral; integral boundary; fractional differential; differential equations ... See more keywords
Bounded positive solutions of an iterative three-point boundary-value problem with integral boundary condtions
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DOI: 10.1007/s12190-020-01406-8
Abstract: The aim of this paper is to investigate the existence, uniqueness and continuous dependence of solutions for a class of third order iterative differential equations with integral boundary conditions. The method applied here is based… read more here.
Keywords: bounded positive; positive solutions; integral boundary; point ... See more keywords
On General Fractional Differential Inclusions with Nonlocal Integral Boundary Conditions
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DOI: 10.1007/s12591-016-0319-5
Abstract: This paper investigates the existence of solutions for fractional differential inclusions involving Caputo fractional derivative of any order together with nonlocal integral boundary conditions. Our study includes the cases when the multivalued map involved in… read more here.
Keywords: fractional differential; general fractional; differential inclusions; integral boundary ... See more keywords
On Sequential Fractional Integro-Differential Equations with Nonlocal Integral Boundary Conditions
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DOI: 10.1007/s40840-016-0421-4
Abstract: We study a boundary value problem of sequential fractional differential equations equipped with nonlocal integral boundary conditions (strip conditions of finite arbitrary size) involving the first-order derivative of the unknown function. As a variant problem,… read more here.
Keywords: boundary conditions; nonlocal integral; integral boundary; differential equations ... See more keywords
Potential vorticity diagnostics based on balances between volume integral and boundary conditions
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DOI: 10.1016/j.ocemod.2019.04.004
Abstract: Abstract Taking advantage of alternative expressions for potential vorticity (PV) in divergence forms, we derive balances between volume integral of PV and boundary conditions, that are then applied to practical computations of PV: • We… read more here.
Keywords: volume integral; integral boundary; potential vorticity; boundary conditions ... See more keywords
Nonclassical problem with integral boundary conditions for elliptic system
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DOI: 10.1080/17476933.2017.1351438
Abstract: Abstract In the present paper, a mixed nonclassical problem for multidimensional second-order elliptic system with Dirichlet and nonlocal integral boundary conditions is considered. Since Lax-Milgram theorem cannot be applied straightforwardly for such a nonlocal problem,… read more here.
Keywords: boundary conditions; integral boundary; nonclassical problem; elliptic system ... See more keywords