Results 51 to 60 of about 25,247 (223)

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

Nonlinear Fractional Boundary Value Problems: Lyapunov-Type Estimates Derived from a Generalized Gronwall Inequality

Mathematics
In this paper, we investigate a class of nonlinear fractional boundary value problems involving the Caputo fractional derivative under two-point boundary conditions.
Nadiyah Hussain Alharthi, Mehmet Zeki Sarıkaya, Rubayyi T. Alqahtani   +2 more
doaj   +1 more source

Hartman-Wintner-Type Inequality for a Fractional Boundary Value Problem via a Fractional Derivative with respect to Another Function

Discrete Dynamics in Nature and Society, 2017
We consider a fractional boundary value problem involving a fractional derivative with respect to a certain function g. A Hartman-Wintner-type inequality is obtained for such problem.
Mohamed Jleli, Mokhtar Kirane, Bessem Samet   +2 more
doaj   +1 more source

Adaptive Sliding‐Mode Control of a Perturbed Diffusion Process With Pointwise In‐Domain Actuation

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT A sliding mode–based adaptive control law is proposed for a class of diffusion processes featuring a spatially‐varying uncertain diffusivity and equipped with several point‐wise actuators located at the two boundaries of the spatial domain as well as in its interior.
Paul Mayr, Alessandro Pisano, Stefan Koch, Markus Reichhartinger   +3 more
wiley   +1 more source

Global Exponential Robust Stability of High-Order Hopfield Neural Networks with S-Type Distributed Time Delays

Journal of Applied Mathematics, 2014
By employing differential inequality technique and Lyapunov functional method, some criteria of global exponential robust stability for the high-order neural networks with S-type distributed time delays are established, which are easy to be verified with
Haiyong Zheng, Bin Wu, Tengda Wei, Linshan Wang, Yangfan Wang   +4 more
doaj   +1 more source

Stability Analysis of Cohen–Grossberg Type BAM Neural Network with Piecewise Constant Argument

Discrete Dynamics in Nature and Society, 2023
This paper introduces the stability problems of Cohen–Grossberg type BAM neural network (BAMCGNN) with piecewise constant argument (PCA). By employing the homeomorphism theory, sufficient conditions for the existence and uniqueness of the equilibrium ...
Wenqing Zheng, Tao Xie, Wenxiang Fang
doaj   +1 more source

Lyapunov-type inequalities for a fractional p-Laplacian equation [PDF]

Journal of Inequalities and Applications, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Al Arifi, Nassir, Altun, Ishak, Jleli, Mohamed, Lashin, Aref, Samet, Bessem   +4 more
openaire   +2 more sources

Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang, Benjamin Calmbach, Jaime A. Moreno, Johann Reger   +3 more
wiley   +1 more source

An equivalent property of a Hilbert-type integral inequality and its applications [PDF]

, 2022
Making use of complex analytic techniques as well as methods involving weight functions, we study a few equivalent conditions of a Hilbert-type integral inequality with nonhomogeneous kernel and parameters.
Andrica, D., B. Yang, D. Andrica, M.Th. Rassias, Rassias, M.Th., Bagdasar, O., Yang, B., O. Bagdasar   +7 more
core   +1 more source

Lyapunov-Type Inequalities for Conformable BVP

Journal of Applied Mathematics and Physics, 2018
In this paper, we present Lyapunov-type inequality for conformable BVP with the conformable fractional derivative of order 1≤2 and 2≤3 with corresponding boundary conditions. We obtain the Lyapunov-type inequality by a construction Green’s function and get its corresponding maximum value.
Xia Wang, Run Xu
openaire   +2 more sources