时间分数阶Fisher型非线性种群扩散模型的近似解  

Approximate Solution of Time Fractional Fisher Nonliear Population Diffusion Model

作　　者：贾红刚 聂玉峰[2] 赵艳敏 JIA Honggang;NIE Yufeng;ZHAO Yanmin(School of Science,Xuchang Universituy,Xuchang 461000,China;School of Mathematics and Statistics,Northuestern Polytechnical University,Xi'an 110072,China)

机构地区：[1]许昌学院数理学院,河南许昌461000 [2]西北工业大学数学与统计学院,陕西西安710072

出　　处：《应用数学》2021年第3期536-542,共7页Mathematica Applicata

基　　金：国家自然科学基金(11471262)。

摘　　要：利用新的一致时间分数阶微积分理论和方法并结合变分迭代法及同伦扰动法,对一维空间时间分数阶种群扩散模型进行近似求解,得到时间分数阶模型问题的近似解的表达式,并通过与相应整数阶精确解对比验证模型的合理性和准确性.Using the new conformable time fractional calculus theory and method combined with the variational iteration method and the homotopy perturbation method,the one-dimensional time fractional order population diffusion models with source terms are approximately solved,and the expressions of the approximate solutions of one-dimensional time fractional order models for nonhomogeneous boundary condition are obtained,and the rationality and correctness of the model is verified by comparing with the corresponding integer order exact solution.

关 键 词：一致时间分数阶 种群扩散模型 变分迭代法 同伦扰动法 

分 类 号：O24[理学—计算数学]