The Bernstein polynomials (B-polynomials) operational matrices of integration P,
differentiation D and product Ĉ are derived. A general procedure of forming these matrices …

A numerical scheme, based on the Haar wavelet operational matrices of integration for
solving linear two-point and multi-point boundary value problems for fractional differential …

A numerical direct method for solving a general class of fractional optimal control problems
(FOCPs) is presented. In the discussed FOCP, the fractional derivative in the dynamical …

We use the continuous sine–cosine wavelets on the interval [0, 1] to solve the linear integro-
differential equation. To do so, we construct the quadrature formulae for the calculation of …

In this paper, a new method for solving some classes of linear and nonlinear problems in
calculus of variations is presented. The method is based upon Bernoulli wavelets. The …

Coronaviruses are a group of RNA (ribonucleic acid) viruses with the capacity for rapid
mutation and recombination. Coronaviruses are known to cause respiratory or intestinal …

Many interesting application systems, ranging from workflow management and CSCW to air
traffic control, are event-driven and time-dependent and must interact with heterogeneous …

In this work a conceptual theory of neural networks (NNs) from the perspective of functional
analysis and variational calculus is presented. Within this formulation, the learning problem …

In this research first we explicitly obtain the relation between the coefficients of the Taylor
series and Jacobi polynomial expansions. Then we present a new method for computing …

In this study, an approximation method with an integral operational matrix based on the
Muntz wavelets basis is presented to solve the variational problems of moving or fixed …