Novel Contributions to the System of Fractional Hamiltonian Equations

Tayeb Mahrouz, Abdelaziz Mennouni (), Abdelkader Moumen and Tariq Alraqad
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Tayeb Mahrouz: Department of Mathematics, Faculty of Sciences, University of Ibn Khladoun, BP P 78 Zaaroura, Tiaret 14000, Algeria
Abdelaziz Mennouni: Department of Mathematics, LTM, University of Batna 2, Mostefa Ben Boulaïd, Fesdis, Batna 05078, Algeria
Abdelkader Moumen: Department of Mathematics, Faculty of Sciences, University of Ha’il, Ha’il 55425, Saudi Arabia
Tariq Alraqad: Department of Mathematics, Faculty of Sciences, University of Ha’il, Ha’il 55425, Saudi Arabia

Mathematics, 2023, vol. 11, issue 13, 1-10

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.

Keywords: system; fractional Hamiltonian equations; bounded below (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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