$Positive solutions of eigenvalue problems for a class of fractional differential equations with derivatives$
QR Code

QR Code

Positive solutions of eigenvalue problems for a class of fractional differential equations with derivatives

By establishing a maximal principle and constructing upper and lower solutions, the existence of positive solutions for the eigenvalue problem of a class of fractional differential equations is discussed. Some sufficient conditions for the existence of positive solutions are established.

Bibliographic Details
Main Authors:	Zhang, X., Liu, L., Wiwatanapataphee, B., Wu, Yong Hong
Format:	Journal Article
Published:	Hindawi Publishing Corporation 2012
Online Access:	http://hdl.handle.net/20.500.11937/12228

Similar Items

The eigenvalue problem for a singular higher order fractional differential equation involving fractional derivatives
by: Zhang, X., et al.
Published: (2012)

The eigenvalue for a class of singular p-laplacian fractional differential equations involving the Riemann-Stieltjes integral boundary condition
by: Zhang, Xinguang, et al.
Published: (2014)

Eigenvalue Problem of Nonlinear Semipositone Higher Order Fractional Differential Equations
by: Wu, J., et al.
Published: (2012)

Existence results for multiple positive solutions of nonlinear higher order perturbed fractional differential equations with derivatives
by: Zhang, X., et al.
Published: (2012)

Positive solutions of fourth-order nonlinear singular Sturm-Liouville eigenvalue problems
by: Liu, L., et al.
Published: (2007)

Existence of positive solutions for a singular nonlinear fractional differential equation with integral boundary conditions involving fractional derivatives
by: Liu, X., et al.
Published: (2018)

Positive solutions for a nonlocal fractional differential equation
by: Wang, Y., et al.
Published: (2011)

The uniqueness of positive solution for a singular fractional differential system involving derivatives
by: Zhang, X., et al.
Published: (2013)

Multiple positive solutions of a singular fractional differential equation with negatively perturbed term
by: Zhang, X., et al.
Published: (2012)

Positive solutions of higher-order nonlinear fractional differential equations with changing-sign measure
by: Wu, J., et al.
Published: (2012)

Iterative positive solutions for singular nonlinear fractional differential equation with integral boundary conditions
by: Liu, Lishan, et al.
Published: (2016)

Positive solutions for nonlinear fractional semipositone differential equation with nonlocal boundary conditions
by: Hao, X., et al.
Published: (2016)

Iterative algorithm and estimation of solution for a fractional order differential equation
by: Wu, J., et al.
Published: (2016)

Existence and uniqueness of a positive solution to singular fractional differential equations
by: Wang, Y., et al.
Published: (2012)

Positive solutions of singular boundary value problems for systems of nonlinear fourth order differential equations
by: Liu, L., et al.
Published: (2008)

Solutions of Sign-Changing Fractional Differential Equation with the Fractional Derivatives
by: Wu, T., et al.
Published: (2012)

Positive solutions for singular nonlinear fractional differential equation with integral boundary conditions
by: Li, H., et al.
Published: (2015)

The iterative solutions of nonlinear fractional differential equations
by: Zhang, Xinguang, et al.
Published: (2013)

Positive solutions of fractional differential equation nonlocal boundary value problems
by: Tan, J., et al.
Published: (2015)

Existence of positive solutions for singular fractional differential equations with infinite-point boundary conditions
by: Guo, L., et al.
Published: (2016)

Positive solutions for a class of fractional boundary value problem with changing sign nonlinearity
by: Wang, Y., et al.
Published: (2011)

Convergence analysis of iterative scheme and error estimation of positive solution for a fractional differential equation
by: Wu, J., et al.
Published: (2018)

Local and global existence of mild solutions for a class of semilinear fractional integro-differential equations
by: Zhu, B., et al.
Published: (2017)

The unique solution of a class of sum mixed monotone operator equations and its application to fractional boundary value problems
by: Liu, Lishan, et al.
Published: (2016)

Uniqueness of positive solutions for the singular fractional differential equations involving integral boundary value conditions
by: Min, D., et al.
Published: (2018)

Positive solutions for nonlinear fractional differential equations with boundary conditions involving Riemann-Stieltjes integrals
by: Jiang, J., et al.
Published: (2012)

Existence of positive solutions for a class of nonlinear fractional differential equations with integral boundary conditions and a parameter
by: Zhang, X., et al.
Published: (2014)

Existence and asymptotic analysis of positive solutions for a singular fractional differential equation with nonlocal boundary conditions
by: He, J., et al.
Published: (2018)

Positive solution of singular fractional differential system with nonlocal boundary conditions
by: Wu, J., et al.
Published: (2014)

Iterative unique positive solutions for singular p-Laplacian fractional differential equation system with several parameters
by: Guo, L., et al.
Published: (2018)

Existence of positive solutions for singular higher-order fractional differential equations with infinite-point boundary conditions
by: Guo, L., et al.
Published: (2016)

Positive solutions of an abstract fractional semipositone differential system model for bioprocesses of HIV infection
by: Wang, Y., et al.
Published: (2015)

Uniqueness and existence of positive solutions for the fractional integro-differential equation
by: Wang, Y., et al.
Published: (2017)

The spectral analysis for a singular fractional differential equation with a signed measure
by: Zhang, Xinguang, et al.
Published: (2015)

Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion
by: Zhang, Xinguang, et al.
Published: (2017)

Positive solutions for second order impulsive differential equations with integral boundary conditions
by: Hao, X., et al.
Published: (2011)

Existence and uniqueness of solutions for systems of fractional differential equations with Riemann–Stieltjes integral boundary condition
by: Zhang, X., et al.
Published: (2018)

An eigenvalue-eigenvector method for solving a system of fractional differential equations with uncertainty
by: Shahriyar, M. R. Balooch, et al.
Published: (2013)

Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters
by: Wang, Y., et al.
Published: (2014)

Positive solutions to singular fractional differential system with coupled boundary conditions
by: Jiang, J., et al.
Published: (2013)

Cannot write session to /tmp/vufind_sessions/sess_9887l6gthr9s922dbp6eus5qpv