Solving Differential Equations of Fractional Order Using Combined Adomian Decomposition Method with Kamal Integral Transformation

نویسندگان

چکیده

The differential equation is an that involves the derivative (derivatives) of dependent variable with respect to independent (variables). represents nothing but a rate change, and helps us present relationship between changing quantity change in another quantity. Adomian decomposition method one iterative methods can be used solve equations, both integer fractional order, linear or nonlinear, ordinary partial. This combined integral transformations, such as Laplace, Sumudu, Natural, Elzaki, Mohand, Kashuri-Fundo, Kamal. main objective this research equations order using combination Kamal transformation. Furthermore, solution transformation was investigated. finding our study shows very accurate solving order. results are original new for attained paper confirm illustrative example has been solved show efficiency proposed method.

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ژورنال

عنوان ژورنال: Mathematics and Statistics

سال: 2022

ISSN: ['2332-2144', '2332-2071']

DOI: https://doi.org/10.13189/ms.2022.100117