Different types of fractional derivatives have recently been noticed by researchers and used
in modeling phenomena due to their characteristics. Furthermore, fractional optimal control …

A new approach to finding the approximate solution of distributed-order fractional optimal
control problems (DO FOCPs) is proposed. This method is based on Fibonacci wavelets …

Herein, we design a new scheme for finding approximate solutions to fractional optimal
control problems (OCPs) with and without delay. In this strategy, we introduce Mittag-Leffler …

In this investigation, a novel framework is devised to study an important category of fractional-
order systems. The fractional Vieta–Lucas functions (FVLFs) and a hybrid of the block-pulse …

Abstract Systems biology adopts a holistic approach and brings a whole new way of
understanding complex biological systems where it becomes important to study the …

This research introduces an efficient direct method for finding the numerical solution to
optimal control problems involving linear and nonlinear fractional integro-differential …

The collocation method is one of the most powerful and effective techniques to solve
nonlinear differential equations. This method reduces the original problem to a system of …

In this research article, we present an optimization algorithm aimed at finding the optimal
solution for nonlinear 2-dimensional fractional optimal control problems that arise from …

This manuscript presents a new approximation method for fractional-order Fokker-Planck
equations based on Touchard polynomial approximation. We provide new Caputo and extra …

This paper focuses on the issue of nonlinear vibration responses identification of nonlinear
systems. An efficient algorithm is presented, in which the nonlinear vibration system under …