In this research, a Bernoulli wavelet operational matrix of fractional integration is presented.
Bernoulli wavelets and their properties are employed for deriving a general procedure for …

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 …

This paper presents a direct solution technique for solving the generalized pantograph
equation with variable coefficients subject to initial conditions, using a collocation method …

In this paper, a new numerical method for solving the distributed fractional differential
equations is presented. The method is based upon hybrid functions approximation. The …

This article develops an efficient direct solver for solving numerically the high-order linear
Fredholm integro-differential equations (FIDEs) with piecewise intervals under initial …

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 …

This paper presents a new numerical method for solving fractional optimal control problems
(FOCPs). The fractional derivative in the dynamic system is described in the Caputo sense …

In this paper, we define a new set of functions called fractional-order Bernoulli functions
(FBFs) to obtain the numerical solution of linear and nonlinear fractional integro-differential …

A symplectic pseudospectral method based on the dual variational principle and the
quasilinearization method is proposed and is successfully applied to solve nonlinear optimal …

In this paper, generalized fractional-order Bernoulli wavelet functions based on the Bernoulli
wavelets are constructed to obtain the numerical solution of problems of anomalous …