Afreen A, Raheem A
Department of Mathematics, Aligarh Muslim University, Aligarh, 202002 India.
Int J Appl Comput Math. 2022;8(5):269. doi: 10.1007/s40819-022-01464-5. Epub 2022 Sep 30.
This paper studies a system of nonlinear fractional differential equations (FDEs) with deviated arguments. Many linear and nonlinear problems are faced in the real-life. Generally, linear problems are solved quickly, but some difficulties appear while solving nonlinear problems. Our purpose is to approximate those solutions numerically via the Adomian decomposition method (ADM). Here, our main goal is to apply the ADM to solve higher-order nonlinear system of FDEs with deviated arguments. We prove the existence and uniqueness of the solution using Banach contraction principle. Moreover, we plot the figures of ADM solutions using MATLAB.
本文研究了一类具有偏差变元的非线性分数阶微分方程（FDEs）系统。在现实生活中会面临许多线性和非线性问题。一般来说，线性问题求解起来很快，但在求解非线性问题时会出现一些困难。我们的目的是通过阿多米安分解法（ADM）对这些解进行数值逼近。在这里，我们的主要目标是应用ADM来求解具有偏差变元的高阶非线性FDEs系统。我们使用巴拿赫压缩原理证明了解的存在性和唯一性。此外，我们使用MATLAB绘制了ADM解的图形。
