Novel Contributions to the System of Fractional Hamiltonian Equations-Reference-Cited by-同舟云学术

Novel Contributions to the System of Fractional Hamiltonian Equations

Published:2023-07-07 Issue:13 Volume:11 Page:3016
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Mahrouz Tayeb¹,Mennouni Abdelaziz²^ORCID,Moumen Abdelkader³,Alraqad Tariq³

Affiliation:

1. Department of Mathematics, Faculty of Sciences, University of Ibn Khladoun, BP P 78 Zaaroura, Tiaret 14000, Algeria

2. Department of Mathematics, LTM, University of Batna 2, Mostefa Ben Boulaïd, Fesdis, Batna 05078, Algeria

3. Department of Mathematics, Faculty of Sciences, University of Ha’il, Ha’il 55425, Saudi Arabia

Abstract

This work aims to analyze a new system of two fractional Hamiltonian equations. We propose an effective method for transforming the established model into a system of two distinct equations. Two functionals that are connected to the converted system of fractional Hamiltonian systems are introduced together with a new space, and it is demonstrated that these functionals are bounded below on this space. The hypotheses presented here differ from those provided in the literature.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/13/3016/pdf

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