Numerical solution of distributed order fractional differential equations by hybrid functions

S Mashayekhi, M Razzaghi - Journal of computational physics, 2016 - Elsevier
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 …

Hybrid functions approach for nonlinear constrained optimal control problems

S Mashayekhi, Y Ordokhani, M Razzaghi - Communications in Nonlinear …, 2012 - Elsevier
In this paper, a new numerical method for solving the nonlinear constrained optimal control
with quadratic performance index is presented. The method is based upon hybrid functions …

Numerical solution of the fractional Bagley‐Torvik equation by using hybrid functions approximation

S Mashayekhi, M Razzaghi - Mathematical methods in the …, 2016 - Wiley Online Library
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 …

Optimal control of delay systems by using a hybrid functions approximation

N Haddadi, Y Ordokhani, M Razzaghi - Journal of Optimization Theory and …, 2012 - Springer
In this paper, a new numerical method for solving the optimal control of linear time-varying
delay systems with quadratic performance index is presented. The method is based upon …

An approximate method for solving fractional optimal control problems by hybrid functions

S Mashayekhi, M Razzaghi - Journal of Vibration and …, 2018 - journals.sagepub.com
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 …

[图书][B] An introduction to hypergeometric, supertrigonometric, and superhyperbolic functions

XJ Yang - 2021 - books.google.com
An Introduction to Hypergeometric, Supertigonometric, and Superhyperbolic Functions gives
a basic introduction to the newly established hypergeometric, supertrigonometric, and …

Hybrid of block-pulse functions and generalized Mott polynomials and their applications in solving delay fractional optimal control problems

K Rabiei, M Razzaghi - Nonlinear Dynamics, 2023 - Springer
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 …

Theory and operational rules for the discrete Hankel transform

N Baddour, U Chouinard - JOSA A, 2015 - opg.optica.org
Previous definitions of a discrete Hankel transform (DHT) have focused on methods to
approximate the continuous Hankel integral transform. In this paper, we propose and …

Numerical solution of nonlinear fractional integro-differential equations by hybrid functions

S Mashayekhi, M Razzaghi - Engineering Analysis with Boundary …, 2015 - Elsevier
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 …

An efficient method for numerical solutions of distributed-order fractional differential equations

N Jibenja, B Yuttanan… - Journal of …, 2018 - asmedigitalcollection.asme.org
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 …