Show brief item record

dc.contributor.authorStamova, Ivanka
dc.contributor.authorSotirov, Sotir
dc.contributor.authorSotirova, Evdokia
dc.contributor.authorStamov, Gani
dc.date.accessioned2021-09-25T23:33:27Z
dc.date.available2021-09-25T23:33:27Z
dc.date.issued2021-07-27
dc.identifierdoi: 10.3390/fractalfract5030078
dc.identifier.citationFractal and Fractional 5 (3): 78 (2021)
dc.identifier.urihttps://hdl.handle.net/20.500.12588/683
dc.description.abstractIn this paper, a fractional-order Cohen–Grossberg-type neural network with Caputo fractional derivatives is investigated. The notion of almost periodicity is adapted to the impulsive generalization of the model. General types of impulsive perturbations not necessarily at fixed moments are considered. Criteria for the existence and uniqueness of almost periodic waves are proposed. Furthermore, the global perfect Mittag–Leffler stability notion for the almost periodic solution is defined and studied. In addition, a robust global perfect Mittag–Leffler stability analysis is proposed. Lyapunov-type functions and fractional inequalities are applied in the proof. Since the type of Cohen–Grossberg neural networks generalizes several basic neural network models, this research contributes to the development of the investigations on numerous fractional neural network models.
dc.titleImpulsive Fractional Cohen-Grossberg Neural Networks: Almost Periodicity Analysis
dc.date.updated2021-09-25T23:33:29Z
dc.description.departmentMathematics


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show brief item record