Hybrid Fibonacci wavelet method to solve fractional-order logistic growth model

The aim of this study is to develop the Fibonacci wavelet method together with the quasi-linearization technique to solve the fractional-order logistic growth model. The block-pulse functions are employed to construct the operational matrices of fractional-order integration. The fractional derivative is described in the Caputo sense. The present time-fractional population growth model is converted into a set of nonlinear algebraic equations using the proposed generated matrices. Making use of the quasi-linearization technique, the underlying equations are then changed to a set of linear equations. Numerical simulations are conducted to show the reliability and use of the suggested approach when contrasted with methods from the existing literature. A comparison of several numerical techniques from the available literature is presented to show the efficacy and correctness of the suggested approach.