Lyapunov type inequalities for nonlinear fractional Hamiltonian systems in the frame of conformable derivatives
نویسندگان
چکیده
Lyapunov type integral inequality is one of the important inequalities in qualitative analysis differential equations. In this paper, using properties conformable derivatives and integral, solution initial value problem for fractional equation, some new higher order nonlinear Hamiltonian systems are obtained, which improve unify known results literatures.
منابع مشابه
Lyapunov-type inequalities for the first-order nonlinear Hamiltonian systems
In this paper, we establish several new Lyapunov-type inequalities for the first-order nonlinear Hamiltonian system x ′ (t) = α(t)x(t) + β(t)|y(t)| µ−2 y(t), y ′ (t) = −γ (t)|x(t)| ν−2 x(t) − α(t)y(t), which generalize or improve all related existing ones.
متن کاملA generalized Lyapunov-type inequality in the frame of conformable derivatives
*Correspondence: [email protected] 1Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh, 11586, Saudi Arabia Full list of author information is available at the end of the article Abstract We prove a generalized Lyapunov-type inequality for a conformable boundary value problem (BVP) of order α ∈ (1, 2]. Indeed, it is shown that if the boundary v...
متن کاملOstrowski type inequalities involving conformable fractional integrals
In the article, we establish several Ostrowski type inequalities involving the conformable fractional integrals. As applications, we find new inequalities for the arithmetic and generalized logarithmic means.
متن کاملStability analysis of fractional-order nonlinear Systems via Lyapunov method
In this paper, we study stability of fractional-order nonlinear dynamic systems by means of Lyapunov method. To examine the obtained results, we employe the developed techniques on test examples.
متن کاملOn Feng Qi-type Integral Inequalities for Conformable Fractional Integrals
In this paper, we establish the generalized Qi-type inequality involving conformable fractional integrals. The results presented here would provide extensions of those given in earlier works. 1. Introduction In the last few decades, much signi cant development of integral inequalities had been established. Integral inequalities have been frequently employed in the theory of applied sciences, di...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical foundations of computing
سال: 2023
ISSN: ['2577-8838']
DOI: https://doi.org/10.3934/mfc.2023004