Haar wavelet operational matrix has been widely applied in system analysis, system
identification, optimal control and numerical solution of integral and differential equations. In …

The present article designs the granular metamaterials considering the granular structures
of discrete particles which are different from elastic metamaterials consisting of continuous …

In the current study, new functions called generalized fractional-order Bernoulli wavelet
functions (GFBWFs) based on the Bernoulli wavelets are defined to obtain the numerical …

Reservoir simulator is widely known in the petroleum industry for analysing and predicting
the fluid flow behaviour through porous media. Conventional mathematical approach, which …

Recently, a new fractional derivative called the conformable fractional derivative is given
which is based on the basic limit definition of the derivative in (Khalil et al., 2014). Then, the …

A novel fractional model based on the Riemann Liouville fractional derivative to simulate the
thermal performance of conventional solar still and show the effect of using hybrid nanofluid …

Since neural networks have universal approximation capabilities, therefore it is possible to
postulate them as solutions for given differential equations that define unsupervised errors …

In this study, the intelligent computational strength of neural networks (NNs) based on the
backpropagated Levenberg‐Marquardt (BLM) algorithm is utilized to investigate the …

In this paper, an efficient and accurate computational method based on the Legendre
wavelets (LWs) is proposed for solving a class of fractional optimal control problems …

In this paper, the second kind Chebyshev wavelet method is presented for solving linear and
nonlinear fractional differential equations. We first construct the second kind Chebyshev …