A Numerical Study for Solving the Logistic Differential Equation with Caputo-Fractional Derivative and Time Delay
DOI:
https://doi.org/10.58987/5yykcs07Keywords:
Fractional-order, Caputo derivative, Elzaki transform, Homotopy perturbation methodAbstract
Fractional differential equations is an effective technique to test theories, validate experimental findings, and represent the dynamics of complex systems. There are different generalizations of the logistic differential equations that have been considered. Since the linear and nonlinear nature of the logistic differential equation, various methods are input to obtain a solution. In this paper we present a generalization of the logistic differential equation, which guarantees and improves this generalization as special cases. This work aims to study the Elzaki homotopy perturbation method (EHPM) to solve the nonlinear logistic differential equation with Caputo derivative and the time delay. In conclusion, the numerical results showed that this method is easy to implement, convergent, and effective for solving this type of fractional differential equations.
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