Application of Sumudu Transform and New Iterative Method to Solve Certain Nonlinear Ordinary Caputo Fractional Differential Equations

Authors

DOI:

https://doi.org/10.37256/cm.5420242561

Keywords:

sumudu transformation, new iteration method, fractional ordinary differential equations

Abstract

By combining the new iteration method (NIM) and Sumudu transform (ST) methods, together known as the new iteration ST method (NISTM), a semi-analytical or series solution for various fractional differential equations, in which new iteration method (NIM) is used to decompose the nonlinear operator prior to performing the ST, is produced in this script. Using the Caputo sense to account for the fractional derivative, this method computes series solutions for a variety of nonlinear fractional differential equation instances. While in many convergence issues a solution is achieved for just a small number of series terms, our series solution merges with the exact solution differential equation of fractional order in many example problems.

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Published

2024-10-30

How to Cite

1.
Singh A, Pippal S. Application of Sumudu Transform and New Iterative Method to Solve Certain Nonlinear Ordinary Caputo Fractional Differential Equations. Contemp. Math. [Internet]. 2024 Oct. 30 [cited 2024 Nov. 7];5(4):4614-25. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/2561