One Solution of Multi-term Fractional Differential Equations by Adomian Decomposition Method: Scientific Explanation

The Adomian decomposition method (ADM) is applied to solve the of nonlinear multi-term fractional differential equations of the Form

under the initial conditions y(i)(0) = ci(0 ≤ i ≤ m − 1) where N is nonlinear function of x, y(x), D
β ∗ 1y(x), … … , D∗ βny(x) and g(x) and аi(x) are functions of x. Also α > βn >…… > β1 > 0, (m – 1 < 𝛼 ≤
𝑚, 𝑎𝑛𝑑 𝑚 ∈ 𝑁) . Some examples of the solution are also presented for better comprehension.

Author (S) Details

Dr. Abdollah Sadeghinia
Department of Mathematic, Savitribai Phule Pune of University, Pune, India.

Prabhat Kumar
Department of Mathematics, MIT World Peace University, Pune, India.

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