Guotao Wang

A Coupled System of Nonlinear Fractional Differential Equations with Multipoint Fractional Boundary Conditions on an Unbounded Domain

This paper investigates the existence of solutions for a coupled system of nonlinear fractional differential equations with m-point fractional boundary conditions on an unbounded domain. Some standard fixed point theorems are applied to obtain the main results. The paper concludes with two illustrative examples.

Eigenvalue Problem for Nonlinear Fractional Differential Equations with Integral Boundary Conditions

By employing known Guo-Krasnoselskii fixed point theorem, we investigate the eigenvalue interval for the existence and nonexistence of at least one positive solution of nonlinear fractional differential equation with integral boundary conditions.

A New Impulsive Multi-Orders Fractional Differential Equation Involving Multipoint Fractional Integral Boundary Conditions

A new impulsive multi-orders fractional differential equation is studied. The existence and uniqueness results are obtained for a nonlinear problem with fractional integral boundary conditions by applying standard fixed point theorems. An example for the illustration of the main result is presented.

Nonlocal Integrodifferential Boundary Value Problem for Nonlinear Fractional Differential Equations on an Unbounded Domain

This paper investigates the existence of nonnegative solutions for nonlinear fractional differential equations with nonlocal fractional integrodifferential boundary conditions on an unbounded domain by means of Leray-Schauder nonlinear alternative theorem. An example is discussed for the illustration of the main work.

Nonlocal Boundary Value Problem for Nonlinear Impulsive -Integrodifference Equation

A nonlinear impulsive integrodifference equation within the frame of -quantum calculus is investigated by applying using fixed point theorems. The conditions for existence and uniqueness of solutions are obtained.

Nonlocal Hadamard fractional boundary value problem with Hadamard integral and discrete boundary conditions on a half-line

Abstract This article investigates a new class of boundary value problems of one-dimensional lower-order nonlinear Hadamard fractional differential equations and nonlocal multi-point discrete and Hadamard integral boundary conditions. By using monotone iterative method, we not only seek the twin positive solutions of the problem but also show that the monotone iterative schemes converge to a unique positive solution of the problem. An error estimate formula is also given. For the illustration of the main results, we construct an example.

Impulsive Antiperiodic Boundary Value Problems for Nonlinear -Difference Equations

We show the existence and uniqueness of solutions for an antiperiodic boundary value problem of nonlinear impulsive -difference equations by applying some well-known fixed point theorems. An example is presented to illustrate the main results.

On Impulsive Boundary Value Problems of Fractional Differential Equations with Irregular Boundary Conditions

We study nonlinear impulsive differential equations of fractional order with irregular boundary conditions. Some existence and uniqueness results are obtained by applying standard fixed-point theorems. For illustration of the results, some examples are discussed.