The subject of fractional calculus and its applications (that is, convolution-type pseudo-
differential operators including integrals and derivatives of any arbitrary real or complex …

This paper presents a modified numerical scheme for a class of fractional optimal control
problems where a fractional derivative (FD) is defined in the Riemann—Liouville sense. In …

A scheme for optimal control problem formulation and solution of a fractional order system
using pseudo-state-space formulation is presented in this paper. A pseudo-state-space …

In this paper, the perturbation theory is extended to be applicable for systems containing
conformable derivative of fractional order α. This is needed as an essential and powerful …

A constrained dynamic optimization problem of a fractional order system with fixed final time
has been considered here. This paper presents a general formulation and solution scheme …

This book will give readers the possibility of finding very important mathematical tools for
working with fractional models and solving fractional differential equations, such as a …

In this article, the Hamiltonian for the conformable harmonic oscillator used in the previous
study [Chung WS, Zare S, Hassanabadi H, Maghsoodi E. The effect of fractional calculus on …

In this paper, the conformable Laguerre and associated Laguerre differential equations are
solved using the Laplace transform. The solution is found to be in exact agreement with that …

In this work, a suitable Hamiltonian that describes the damped harmonic oscillator is
constructed. Besides, the Hamilton-Jacobi equation for this dissipative system is written and …

Hamilton–Jacobi formulation of systems within Caputo's fractional derivative Page 1
Physica Scripta Hamilton–Jacobi formulation of systems within Caputo's fractional …