Remarks on Fractal-Fractional Malkus Waterwheel Model with Computational Analysis

Abstract

In this paper, we investigate the fractal-fractional Malkus Waterwheel model in detail. We discuss the existence and uniqueness of a solution of the fractal-fractional model using the fixed point technique. We apply a very effective method to obtain the solutions of the model. We prove with numerical simulations the accuracy of the proposed method. We put in evidence the effects of the fractional order and the fractal dimension for a symmetric Malkus Waterwheel model.

Utilization of Haar wavelet collocation technique for fractal-fractional order problem

“…Researchers have employed perturbation techniques to explore some problems in order to compute solutions. Researchers have developed an effective technique for resolving the first-order hyper singular integral equations in replicating kernel spaces (see [11] , [12] ). Similar to this, authors discovered a technique based on quasi-affine bi-orthogonal mappings to construct a numerical solution for weakly singular Volterra - Fredholm (V-F) issues, we refer [13] .…”