[HTML][HTML] Solving fractional Bagley-Torvik equation by fractional order Fibonacci wavelet arising in fluid mechanics

P Yadav, S Jahan, KS Nisar - Ain Shams Engineering Journal, 2024 - Elsevier
This study introduces a new fractional order Fibonacci wavelet technique proposed for
solving the fractional Bagley-Torvik equation (BTE), along with the block pulse functions. To …

[HTML][HTML] Fibonacci wavelet method for solving time-fractional telegraph equations with Dirichlet boundary conditions

FA Shah, M Irfan, KS Nisar, RT Matoog, EE Mahmoud - Results in Physics, 2021 - Elsevier
In this article, a new and efficient operational matrix method based on the amalgamation of
Fibonacci wavelets and block pulse functions is proposed for the solutions of time-fractional …

Fibonacci wavelet collocation method for Fredholm integral equations of second kind

P Yadav, S Jahan, KS Nisar - Qualitative Theory of Dynamical Systems, 2023 - Springer
The goal of this research is to provide an effective technique for finding approximate
solutions to the Fredholm integral problems of second kind using the Fibonacci Wavelet. To …

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

S Ahmed, S Jahan, KS Nisar - Mathematical Methods in the …, 2023 - Wiley Online Library
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 …

Fibonacci wavelets and Galerkin method to investigate fractional optimal control problems with bibliometric analysis

S Sabermahani, Y Ordokhani - Journal of Vibration and …, 2021 - journals.sagepub.com
This study presents a computational method for the solution of the fractional optimal control
problems subject to fractional systems with equality and inequality constraints. The …

Fibonacci wavelet method for the solution of the non-linear Hunter–Saxton equation

HM Srivastava, FA Shah, NA Nayied - Applied Sciences, 2022 - mdpi.com
In this article, a novel and efficient collocation method based on Fibonacci wavelets is
proposed for the numerical solution of the non-linear Hunter–Saxton equation. Firstly, the …

A novel scheme for the hyperbolic partial differential equation through Fibonacci wavelets

S Kumbinarasaiah, M Mulimani - Journal of Taibah University for …, 2022 - Taylor & Francis
In this study, we generated the operational matrices of integration based on the Fibonacci
wavelets through the concept of linear algebra and developed the novel technique known …

Solving distributed-order fractional optimal control problems via the Fibonacci wavelet method

S Sabermahani, Y Ordokhani - Journal of Vibration and …, 2024 - journals.sagepub.com
A new approach to finding the approximate solution of distributed-order fractional optimal
control problems (DO FOCPs) is proposed. This method is based on Fibonacci wavelets …

[HTML][HTML] Application of Fibonacci wavelet in the analysis of unsteady MHD Williamson nanofluid flow over a permeable stretching sheet via porous medium

MP Preetham, S Kumbinarasaiah, M Alshehri - Results in Physics, 2024 - Elsevier
This research investigates the unsteady flow behavior of a magnetohydrodynamic
Williamson nanofluid (WNF) over a permeable stretching sheet within a porous medium. It …

A fast Fibonacci wavelet-based numerical algorithm for the solution of HIV-infected cells model

Vivek, M Kumar, SN Mishra - The European Physical Journal Plus, 2023 - Springer
In this article, we present a novel approach under the Fibonacci wavelet and collocation
technique which is computationally efficient to obtain the solution of the model of CD4+ T …