Open AccessBernoulli Fractional Differential Equation Solution Using Adomian Decomposition Method
Author(s) -
Muhamad Deni Johansyah,
Asep K. Supriatna,
Endang Rusyaman,
Jumadil Saputra
Publication year - 2021
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/1115/1/012015
Subject(s) - adomian decomposition method , bernoulli differential equation , mathematics , fractional calculus , bernoulli's principle , differential equation , decomposition method (queueing theory) , mathematical analysis , ordinary differential equation , decomposition , order (exchange) , derivative (finance) , exact differential equation , physics , discrete mathematics , finance , biology , ecology , economics , thermodynamics , financial economics
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 .