In this paper, a new numerical method for solving fractional differential equations is
presented. The fractional derivative is described in the Caputo sense. The method is based …

In this paper, a numerical scheme based on hybrid Chelyshkov functions (HCFs) is
presented to solve a class of fractional optimal control problems (FOCPs). To this end, by …

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 …

In this study, a new numerical method for the solution of the linear and nonlinear distributed
fractional differential equations is introduced. The fractional derivative is described in the …

This paper presents an efficient numerical method for solving the initial and boundary value
problems of the Bratu-type. In the proposed method, the Taylor wavelets are introduced, for …

In this paper, a new numerical method for solving the fractional Bagley‐Torvik equation is
presented. The method is based upon hybrid functions approximation. The properties of …

In this paper, a new numerical method for solving fractional optimal control problems by
using hybrid functions is presented. The Riemann–Liouville fractional integral operator for …

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

This paper presents an efficient numerical method for solving the distributed fractional
differential equations (FDEs). The suggested framework is based on a hybrid of block-pulse …

The inverse problem of identifying the diffusion coefficient in the one‐dimensional parabolic
heat equation is studied. We assume that the information of Dirichlet boundary conditions …