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Abstract
Fractional calculus relates with derivatives, integrals, and differential equations of order not integers. The Bernoulli Differential Equation is a form of the first-order ordinary differential equation. This paper aims to solve the Bernoulli Differential Equation with α fractional-order using the Adomian Decomposition Method, where 0 < α ≤ 1. The fractional derivative used in this paper is the fractional derivative of Caputo. Based on several numerical examples presented in this paper, the results show that the Adomian Decomposition Method is easy and very effective to use for solving Bernoulli Differential Equations with fractional order α.
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Details
1 Department of Mathematics, Universitas Padjadjaran, Indonesia
2 School of Social and Economic Development, Universiti Malaysia Terengganu, Malaysia