The spectral iterative method for Solving Fractional-Order Logistic ‎Equation

الموضوعات : مجله بین المللی ریاضیات صنعتی

A. Shoja‎ ¹ , E. Babolian ² , A. R. Vahidi ³

1 - Department of Mathematics, Science and Research Branches, Islamic Azad University, Tehran, Iran.
2 - Department of Mathematics, Science and Research Branches, Islamic Azad University, Tehran, Iran.
3 - Department of Mathematics, Science and Research Branches, Islamic Azad University, Tehran, Iran.

تاريخ الإرسال : 19 الإثنين , ذو القعدة, 1437 تاريخ التأكيد : 19 الإثنين , ذو القعدة, 1437 تاريخ الإصدار : 27 الإثنين , شوال, 1437

الکلمات المفتاحية: Adomian ‎d‎ecomposition method, Iterative method (IM), Spectral method, Fractional logistic equation, Collocation ‎method,

ملخص المقالة :

In this paper, a new spectral-iterative method is employed to give approximate solutions of fractional logistic differential equation. This approach is based on combination of two different methods, i.e. the iterative method \cite{35} and the spectral method. The method reduces the differential equation to systems of linear algebraic equations and then the resulting systems are solved by a numerical method. The solutions obtained are compared with Adomian decomposition method and iterative method used in \cite{35‎} and Adams method \cite{36}.‎