Results 41 to 50 of about 336,429 (288)

STABILITY OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS IN THE FRAME OF ATANGANA-BALEANU OPERATOR

, 2021
Theory of fractional calculus with singular and non-singular kernels is pioneering and has garnered significant interest recently. Fair amount of literature on the qualitative properties of fractional differential and integral equations involving ...
A. Selvam, S. Jacob
semanticscholar   +1 more source

Locality and stability of the cascades of two-dimensional turbulence [PDF]

, 2008
We investigate and clarify the notion of locality as it pertains to the cascades of two-dimensional turbulence. The mathematical framework underlying our analysis is the infinite system of balance equations that govern the generalized unfused structure ...
A. Kolmogorov, A. Kolmogorov, E. Gkioulekas, E. Gkioulekas, E. Gkioulekas, Eleftherios Gkioulekas, G. Batchelor, R. Salmon, S. Danilov, U. Frisch, U. Frisch, V. Belinicher, V. L’vov, V. L’vov, V. L’vov, W. Feller, W. McComb   +16 more
core   +3 more sources

Stability analysis of stochastic delay differential equations with Markovian switching driven by L${\acute{e}}$vy noise

Discrete & Continuous Dynamical Systems - B, 2021
In this paper, the existence and uniquenesss, stability analysis for stochastic delay differential equations with Markovian switching driven by L\begin{document}$ \acute{e} $\end{document}vy noise are studied.
Ya-Fei Chang, Huabin Chen
semanticscholar   +1 more source

Existence and exponential stability in the pth moment for impulsive neutral stochastic integro-differential equations driven by mixed fractional Brownian motion

Journal of Inequalities and Applications, 2019
This paper consider the existence, uniqueness and exponential stability in the pth moment of mild solution for impulsive neutral stochastic integro-differential equations driven simultaneously by fractional Brownian motion and by standard Brownian motion.
Xia Zhou, Dongpeng Zhou, Shouming Zhong
doaj   +1 more source

Computational and analytical analysis of integral-differential equations for modeling avoidance learning behavior

Journal of Applied Mathematics and Computation
This work emphasizes the computational and analytical analysis of integral-differential equations, with a particular application in modeling avoidance learning processes.
Ali Turab, Andrés Montoyo, Josué-Antonio Nescolarde-Selva   +2 more
semanticscholar   +1 more source

The unpredictably eruptive dynamics of spruce budworm populations in eastern Canada

Population Ecology, EarlyView.
We examine historical population data for spruce budworm from several locations through the period 1930–1997, and use density‐dependent recruitment curves to test whether the pattern of population growth over time is more consistent with Royama's (1984; Ecological Monographs 54:429–462) linear R(t) model of harmonic oscillation at Green River New ...
Barry J. Cooke, Jacques Régnière
wiley   +1 more source

On Ulam–Hyers–Mittag-Leffler Stability of Fractional Integral Equations Containing Multiple Variable Delays

Mathematics
In recent decades, many researchers have pointed out that derivatives and integrals of the non-integer order are well suited for describing various real-world materials, for example, polymers.
Osman Tunç, Cemil Tunç
doaj   +1 more source

Fractional Derivative as Fractional Power of Derivative [PDF]

, 2007
Definitions of fractional derivatives as fractional powers of derivative operators are suggested. The Taylor series and Fourier series are used to define fractional power of self-adjoint derivative operator.
Berezin F. A., Berezin F. A., Brichkov Yu. A., Caputo M., Dalechky Yu. L., Hadid S. B., Karasev M. V., Korabel N., Krasnolelsky M. A., Krasnolelsky M. A., Krein S. G., Krein S. G., Le Mehaute A., Luke Y., Maslov V. P., Momani S., Oldham K. B., Samko S. G., Tarasov V. E., Tarasov V. E., Tarasov V. E., Tarasov V. E., Tarasov V. E., Tarasov V. E., VASILY E. TARASOV, Zaslavsky G. M.   +25 more
core   +1 more source

Network topology drives population temporal variability in experimental habitat networks

Population Ecology, EarlyView.
Habitat patches connected by dispersal pathways form habitat networks. We explored how network topology affects population outcomes in laboratory experiments using a model species (Daphnia carinata). Central habitat nodes in complex lattice networks exhibited lower temporal variability in population sizes, suggesting they support more stable ...
Yiwen Xu, J. Angus Webb, William D. Bovill, Elise L. King   +3 more
wiley   +1 more source

Stability in Mean of Partial Variables for Coupled Stochastic Reaction-Diffusion Systems on Networks: A Graph Approach

Abstract and Applied Analysis, 2014
This paper is devoted to investigating stability in mean of partial variables for coupled stochastic reaction-diffusion systems on networks (CSRDSNs).
Yonggui Kao, Hamid Reza Karimi
doaj   +1 more source