一类非线性分数阶积分微分方程解的存在性与模拟仿真

Journal of Jilin University Science Edition ›› 2021, Vol. 59 ›› Issue (4): 828-836.

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Existence and Simulation of Solutions for a Class of Nonlinear Fractional Integro-Differential Equations

SUN Wenchao^1,2, SU Youhui², SUN Ai^1,2

1. College of Science, Shenyang University of Technology, Shenyang 110870, China;
2. School of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou 221018, Jiangsu Province, China

Received:2020-12-02 Online:2021-07-26 Published:2021-07-26

Abstract

Abstract: Firstly, by using the Banach contraction principle and Krasnoselskii fixed point theorem, we studied the existence of solutions for a class of nonlinear fractional integro-differential equations, and obtained the result that there was at least one solution and there was a unique solution. Secondly, two examples were simulated by using the iterative method to verify the results.

Key words: fractional integro-differential equations, simulation, existence, iterative method

CLC Number:

O175.8

SUN Wenchao, SU Youhui, SUN Ai. Existence and Simulation of Solutions for a Class of Nonlinear Fractional Integro-Differential Equations[J].Journal of Jilin University Science Edition, 2021, 59(4): 828-836.

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Existence and Simulation of Solutions for a Class of Nonlinear Fractional Integro-Differential Equations

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