Existence and uniqueness results for a coupled fractional order systems with the multi-strip and multi-point mixed boundary conditions

DOI10.1186/S13662-017-1287-YzbMath1422.34025OpenAlexW2742810533WikidataQ59524576 ScholiaQ59524576MaRDI QIDQ1629874

Huihui Pang, Yuke Zhu, Mengyan Cui

Publication date: 7 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1287-y

zbMATH Keywords

fixed point theoremsfractional differential systemsLeray-Schauder's alternativemulti-strip and multi-point mixed boundary conditions

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (6)

The method of upper and lower solutions to impulsive differential equation with Sturm-Liouville integral boundary conditions ⋮ Existence of solutions for tripled system of fractional differential equations involving cyclic permutation boundary conditions ⋮ Positive solutions to \(n\)-dimensional \(\alpha_1+\alpha_2\) order fractional differential system with \(p\)-Laplace operator ⋮ Iterative positive solutions to a coupled fractional differential system with the multistrip and multipoint mixed boundary conditions ⋮ Existence results for nonlinear fractional boundary value problem involving generalized proportional derivative ⋮ Positive solutions to a coupled fractional differential system with \(p\)-Laplacian operator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence theorems for semi-linear Caputo fractional differential equations with nonlocal discrete and integral boundary conditions
• Existence of positive solutions for fractional differential equation with integral boundary conditions on the half-line
• Uniqueness of iterative positive solutions for the singular fractional differential equations with integral boundary conditions
• LMI-based stabilization of a class of fractional-order chaotic systems
• On recent developments in the theory of boundary value problems for impulsive fractional differential equations
• Explicit iteration and unbounded solutions for fractional integral boundary value problem on an infinite interval
• Positive solutions to boundary value problems of \(p\)-Laplacian with fractional derivative
• Analysis of nonlinear fractional control systems in Banach spaces
• Nonlocal problems for fractional integrodifferential equations via fractional operators and optimal controls
• Existence results for a coupled system of Caputo type sequential fractional differential equations with nonlocal integral boundary conditions
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Positive solutions for singular coupled integral boundary value problems of nonlinear higher-order fractional \(q\)-difference equations
• Positive solutions of singular fractional order differential system with Riemann-Stieltjes integral boundary condition
• Existence results for coupled nonlinear fractional differential equations equipped with nonlocal coupled flux and multi-point boundary conditions
• A six-point nonlocal boundary value problem of nonlinear coupled sequential fractional integro-differential equations and coupled integral boundary conditions
• Positive solutions for higher-order singular fractional differential system with coupled integral boundary conditions
• Chaos synchronization in fractional differential systems
• Eigenvalue comparison for fractional boundary value problems with the Caputo derivative
• Dynamics of SVEIS epidemic model with distinct incidence

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