We apply the operational matrices of fractional integration for Chebyshev wavelets for solving the fractional (Caputo form) Logistic differential equation (FLDE). We introduce a study of the convergence analysis and error estimation of the obtained approximation solution. The FLDE is reduced to a system of algebraic equations with the help of the properties of wavelets polynomials. The numerical results confirm the theoretical results and the efficiency of the proposed procedure. A numerical simulation and a comparison with the previous work are presented. The proposed method can be applied to solve other problems in engineering and physics.
Acta Applicandae Mathematicae – Springer Journals
Published: Mar 16, 2018
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