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Analytical insights and physical behavior of solitons in the fractional stochastic Allen-Cahn equations using a novel method. [PDF]

Sci Rep
Nazari-Golshan A.
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Solutions to fractional neutral delay differential nonlocal systems

Chaos, Solitons & Fractals, 2020
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N. Valliammal, C. Ravichandran, Kottakkaran Sooppy Nisar   +2 more
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Stability and delay sensitivity of neutral fractional-delay systems

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2016
This paper generalizes the stability test method via integral estimation for integer-order neutral time-delay systems to neutral fractional-delay systems. The key step in stability test is the calculation of the number of unstable characteristic roots that is described by a definite integral over an interval from zero to a sufficient large upper limit.
Qi Xu, Min Shi, Zaihua Wang
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Mittag–Leffler stability of nonlinear fractional neutral singular systems

Communications in Nonlinear Science and Numerical Simulation, 2012
The authors study the Mittag-Leffler stability of nonlinear fractional neutral singular systems for both Caputo and Riemann derivatives. Several sufficient conditions are established by extending the Lyapunov direct method to such systems. These results can also be applied to general fractional retarded, neutral and singular systems.
Liu, Song, Li, Xiaoyan, Jiang, Wei, Zhou, Xianfeng   +3 more
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Constrained controllability of nonlinear neutral fractional integrodifferential systems

Journal of Control and Decision, 2016
In this paper, we study the complete controllability for a class of non-linear neutral fractional integro-differential systems in a finite interval of time by means of controls whose initial and final values can be assigned in advance. The result is achieved using the Banach fixed-point theorem and Schauder’s fixed-point theorem.
S. Divya, K. Balachandran
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Analysis of positive fractional-order neutral time-delay systems

Journal of the Franklin Institute, 2022
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Huseynov, Ismail T., Mahmudov, Nazim I.
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Asymptotic stability of nonlinear fractional neutral singular systems

Journal of Applied Mathematics and Computing, 2013
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Lu, Yanfen, Wu, Ranchao, Qin, Zhiquan
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Chaos in a fractional-order neutral differential system

Applied Mathematics & Information Sciences, 2013
In this paper, chaos in fractional-order neutral delay differential equation (NDDE) is discussed. Chaos in the system is illustrated by presenting its waveform graphs, states diagrams and largest Lyapunov exponent. The largest Lyapunov exponent (LLE) and the LLE of the system with different parameters are derived. In addition, we compare the fractional-
Yong Feng, Xiaoran Lin, Shangbo Zhou, Hua Li   +3 more
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Controllability of fractional neutral stochastic functional differential systems

Zeitschrift für angewandte Mathematik und Physik, 2013
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Li, Kexue, Peng, Jigen
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