Existence and Uniqueness of Solutions for Boundary Value Problems of Nonlinear Caputo Fractional Differential Equation with Integral Boundary Conditions

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Existence and Uniqueness of Solutions for Boundary Value Problems of Nonlinear Caputo Fractional Differential Equation with Integral Boundary Conditions

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摘要

In order to make better use of the excellent properties of fractional differential equations to solve engineering problems, it is an important task to explore the properties of solutions of boundary value problems of fractional differential equations. By using Schaefer’s fixed point theorem and Banach contraction mapping principle, the boundary value problem of a class of nonlinear Caputo type fractional differential equation with integral boundary value conditions is studied. The ex-istence and uniqueness of solutions of the boundary value problem are obtained.

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《Pure Mathematics》 |2021年第7期|1341-1347|共7页
作者
赵阳阳;
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作者单位

兰州理工大学理学院;

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原文格式 PDF
正文语种汉语
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Fractional Differential Equation; Boundary Value Problem; Solution; Existence; Uniqueness;

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Existence and Uniqueness of Solutions for Boundary Value Problems of Nonlinear Caputo Fractional Differential Equation with Integral Boundary Conditions

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