Differential equations have an important role to solve problems in various fields, for example engineering, physics, biology, and economics. Fractional calculus is a generalization of classical calculus, which includes derivatives, integrals, and differential equations of order not integers (fractional). This paper aims to solve ordinary fractional differential equations using a combination of Adomian decomposition and Elzaki transformation methods. Based on the two numerical examples presented in this paper, the results show that the Adomian-Elzaki decomposition method is very effective, useful, and easy to use to solve linear and nonlinear fractional ordinary differential equations.
Solution of Ordinary Fractional Differential Equation Using the Adomian-Elzaki Decomposition Method
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