理查兹型分数微分方程解法的新表示法

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS ACS Applied Bio Materials Pub Date : 2024-09-13 DOI:10.1002/mma.10394
Iz‐iddine EL‐Fassi, Juan J. Nieto, Masakazu Onitsuka
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引用次数: 0

摘要

理查兹在文献[35]中提出了对逻辑模型的修改,以模拟生物种群的增长。在本文中,我们给出了理查兹型分式微分方程解的新表示(或表征),其中 , 为连续可微分函数, 为正实数常数。所获得的解的表示可以有效地用于计算和分析目的。这项研究改进并推广了分式逻辑常微分方程的研究成果。
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A new representation for the solution of the Richards‐type fractional differential equation
Richards in [35] proposed a modification of the logistic model to model growth of biological populations. In this paper, we give a new representation (or characterization) of the solution to the Richards‐type fractional differential equation for , where is a continuously differentiable function on and is a positive real constant. The obtained representation of the solution can be used effectively for computational and analytic purposes. This study improves and generalizes the results obtained on fractional logistic ordinary differential equation.
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来源期刊
ACS Applied Bio Materials
ACS Applied Bio Materials Chemistry-Chemistry (all)
CiteScore
9.40
自引率
2.10%
发文量
464
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