Results 111 to 120 of about 654,091 (289)

Novel Synchronization Analysis of Fractional‐Order Nonautonomous Neural Networks With Mixed Delays

open access: yesDiscrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
This paper focuses on the global Mittag–Leffler synchronization of fractional‐order nonautonomous neural networks with mixed delays (FONANNMD). A time‐varying coefficient eρt is introduced to capture the nonautonomous dynamics, aligning with real‐world time‐varying neuron connection weights. A linear feedback controller, integrating proportional, delay,
Xiao-wen Tan   +4 more
wiley   +1 more source

Some Liouville theorems for the p-Laplacian

open access: yesElectronic Journal of Differential Equations, 2002
In this paper we propose a new proof for non-linear Liouville type results concerning the $p$-Laplacian. Our method differs from the one used by Mitidieri and Pohozaev because it uses a comparison principle that can be applied to nondivergence form ...
Isabeau Birindelli, Francoise Demengel
doaj  

On behavior of solution for delta fractional differences associated with special functions

open access: yesAlexandria Engineering Journal
In this paper, a general idea of Mittag-Leffler function using discrete fractional of delta-type in the Riemann–Liouville sense is initiated. Asymptotic behavior of solutions associated with the Riemann–Liouville fractional difference is proposed herein ...
Pshtiwan Othman Mohammed   +5 more
doaj   +1 more source

Liouville type theorems for $\varphi$-subharmonic functions

open access: yesRevista Matemática Iberoamericana, 2001
In this paper we presents some Liouville type theorems for solutions of differential inequalities involving the \varphi -Laplacian. Our results in particular improve and generalize known results for the Laplacian and the
Rigoli M., Setti A. G.
openaire   +4 more sources

Fixed Point Analysis for Cauchy‐Type Variable‐Order Fractional Differential Equations With Finite Delay

open access: yesInternational Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This paper presents a comprehensive analysis of the existence, uniqueness, and Ulam–Hyers stability of solutions for a class of Cauchy‐type nonlinear fractional differential equations with variable order and finite delay. The motivation for this study lies in the increasing importance of variable‐order fractional calculus in modeling real‐world systems
Souhila Sabit   +5 more
wiley   +1 more source

Integrable nonlinear equations and Liouville's theorem, I [PDF]

open access: yesCommunications in Mathematical Physics, 1981
A symplectic structure is constructed and the Liouville integration carried out for a stationary Lax equation [L, P]=0, whereL is a scalar differential operator of an arbitrary order.nth order operators are included into the variety of first-order matrix operators, and properties of this inclusion are studied.
openaire   +5 more sources

Neuronal Dynamics of an Intrinsically Bursting Neuron Through the Caputo–Fabrizio Fractal–Fractional Hodgkin–Huxley Model

open access: yesInternational Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This study introduces a novel fractal–fractional extension of the Hodgkin–Huxley model to capture complex neuronal dynamics, with particular focus on intrinsically bursting patterns. The key innovation lies in the simultaneous incorporation of Caputo–Fabrizio operators with fractional order α for memory effects and fractal dimension τ for temporal ...
M. J. Islam   +4 more
wiley   +1 more source

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