In this paper, novel computing paradigm by exploiting the strength of feed-forward artificial
neural networks (ANNs) with Levenberg-Marquardt Method (LMM), and Bayesian …

The main purpose of this article is to investigate a novel set of (orthogonal) basis functions
for treating a class of multi-order fractional pantograph differential equations (MOFPDEs) …

In this paper, we propose a numerical method for solving distributed-order fractional partial
differential equations (FPDEs). For this method, we first introduce fractional-order …

In this article, we develop a new set of functions called fractional-order Alpert multiwavelet
functions to obtain the numerical solution of fractional pantograph differential equations …

We provide a new effective method for the two-dimensional distributed-order fractional
differential equations (DOFDEs). The technique is based on fractional-order Chebyshev …

This paper studies a numerical approach based on generalized fractional-order Chebyshev
wavelets for solving distributed-order fractional optimal control problems (DO-FOCPs). The …

In the present paper, a method of using fractional order Legendre wavelets is proposed for
solving the pantograph differential equation of the stretched type involved with Caputo …

This paper focuses on solving a class of nonlinear optimal control problems by constructing
novel hat functions based on fourth-order polynomials, namely, fourth-degree hat functions …

We give the hybrid of block-pulse function and generalized Mott polynomials (HBGMP) and
use it to solve delay fractional optimal control problems (DFOCPs). First, we develop a …

In this study, a new approach to basis of intelligent systems and machine learning
algorithms is introduced for solving singular multi-pantograph differential equations …