$The existence and uniqueness theorem of the solution to a class of nonlinear fractional order system with time delay$
QR Code

QR Code

The existence and uniqueness theorem of the solution to a class of nonlinear fractional order system with time delay

In this paper, we investigate the existence and uniqueness of the solution to a class of nonlinear fractional order system with delay. The estimate value of the above solution is also obtained by using the generalized Gronwall inequality.

Bibliographic Details
Main Authors:	Wang, F., Chen, D., Zhang, Xinguang, Wu, Yong Hong
Format:	Journal Article
Published:	Pergamon Press 2016
Online Access:	http://hdl.handle.net/20.500.11937/24805

Similar Items

Finite-time stability of a class of nonlinear fractional-order system with the discrete time delay
by: Wang, F., et al.
Published: (2017)

Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations
by: Zhang, Xinguang, et al.
Published: (2012)

Local and global existence of mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay
by: Zhu, B., et al.
Published: (2016)

Existence of positive solution for a fractional order nonlinear differential system involving a changing sign perturbation
by: He, J., et al.
Published: (2016)

The existence and uniqueness of positive monotone solutions for a class of nonlinear Schrödinger equations on infinite domains
by: Sun, Y., et al.
Published: (2017)

The uniqueness of positive solution for a fractional order model of turbulent flow in a porous medium
by: Zhang, Xinguang, et al.
Published: (2014)

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

Existence and uniqueness of solutions of piecewise nonlinear systems
by: Wu, C., et al.
Published: (2009)

Existence and Uniqueness of Solution to Nonlinear Boundary Value Problems with Sign-Changing Green’s Function
by: Zhang, Peiguo, et al.
Published: (2013)

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

The convergence analysis and error estimation for unique solution of a p-Laplacian fractional differential equation with singular decreasing nonlinearity
by: Wu, J., et al.
Published: (2018)

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

Existences and uniqueness of solutions for some classes of iterative fractional functional integral and differential equations
by: Damag, Faten Hasan Mohammed
Published: (2017)

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

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

Existence and nonexistence of blow-up solutions for a Schrödinger equation involving a nonlinear operator
by: Zhang, Xinguang, et al.
Published: (2018)

Positive Solutions of a Singular Nonlocal Fractional Order Differential System via Schauder’s Fixed Point Theorem
by: Zhang, X., et al.
Published: (2014)

Eigenvalue Problem of Nonlinear Semipositone Higher Order Fractional Differential Equations
by: Wu, 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 of infinitely solutions for a modified nonlinear Schrödinger equation via dual approach
by: Zhang, Xinguang, et al.
Published: (2018)

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

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

Existence and nonexistence of radial solutions of the dirichlet problem for a class of general k-Hessian equations
by: He, J., et al.
Published: (2018)

On existence and uniqueness of the global weak solution for a shallow water equation
by: Guo, Y., et al.
Published: (2012)

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)

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)

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

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

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

Existence and uniqueness of positive solutions for singular fractional differential systems with coupled integral boundary conditions
by: Liu, Lishan, et al.
Published: (2017)

Toward the existence and uniqueness of solutions for fractional integro-differential equations under uncertainty
by: Hosseini, Ali Ahmadian, et al.
Published: (2016)

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

The existence of multiple positive solutions for a class of semipositone Dirichlet boundary value problems
by: Zhong, M., et al.
Published: (2012)

The existence-uniqueness theorem for a system of differential equations in the spaces l2r+1
by: Allahabi, Fateh Abdo Ali
Published: (2011)

Existence and uniqueness of nontrivial solutions to a system of fractional differential equations with Riemann–Stieltjes integral conditions
by: Liu, B., et al.
Published: (2018)

Nontrivial solution of third-order nonlinear eigenvalue problems (II)
by: Zhang, Xinguang, et al.
Published: (2008)

Existence and asymptotic properties of solutions for a nonlinear Schrödinger elliptic equation from geophysical fluid flows
by: Zhang, Xinguang, et al.
Published: (2019)

Nonlocal fractional order differential equations with changing-sign singular perturbation
by: Zhang, Xinguang, 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)