Solution for generalized fuzzy fractional Kortewege-de Varies equation using a robust fuzzy double parametric approach

The nonlinear Kortewege-de Varies (KdV) equation is a functional description for modelling ion-acoustic waves in plasma, long internal waves in a density-stratified ocean, shallow-water waves and acoustic waves on a crystal lattice. This paper focuses on developing and analysing a resilient double parametric analytical approach for the nonlinear fuzzy fractional KdV equation (FFKdVE) under gH-differentiability of Caputo fractional order, namely the q-Homotopy analysis method with the Shehu transform (q-HASTM). A triangular fuzzy number describes the Caputo fractional derivative of order alpha, 0 < alpha <= 1 , for modelling problem. The fuzzy velocity profiles with crisp and fuzzy conditions at different spatial positions are investigated using a robust double parametric form-based q-HASTM with its convergence analysis. The obtained results are compared with existing works in the literature to confirm the efficacy and effectiveness of the method.(c) 2022 Shanghai Jiaotong University. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license ( http://creativecommons.org/licenses/by-nc-nd/4.0/ )

Automated summary

This paper focuses on developing and analyzing a resilient double parametric analytical approach for the nonlinear fuzzy fractional KdV equation (FFKdVE) and confirms the efficacy and effectiveness of the method.