【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.更多还原

【Abstract】 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.更多还原