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 …

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 …

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 …

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 …

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 …

In this study, a novel approach, called the Fibonacci wavelet collocation technique (FWCT),
is presented for the numerical solution of nonlinear fractional order partial differential …

This article is devoted to deriving a new linearization formula of a class for Jacobi
polynomials that generalizes the third‐kind Chebyshev polynomials class. In fact, this new …

In the present article, we have considered two essential models (The epidemic model of
measles and the smoking model). Across the globe, the primary cause of health problems is …

In this manuscript, we find the numerical solutions of a class of fractional-order differential
equations with singularity and strong nonlinearity pertaining to electrohydrodynamic flow in …

In this paper, a new orthonormal wavelets based on the sixth-kind Chebyshev polynomials
is constructed to obtain the solution of fractional optimal control problems (FOCPs) with …