NFDENon-Formal and Distance Education (Mongolia)
NFDENeutral Functional Differential Equation
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Nonlinear fractional differential equations (NFDEs) are universally applied in signal processing, electrical networks, acoustics, fluid dynamics, biology, chemistry, physics, etc.
In particular, the asymptotic behavior of the following non-autonomous NFDE
On the other hand, the delays in differential equations of population and ecology problems are usually time-varying in the real world, then equation (1.1) can be naturally generalized to the following non-autonomous NFDE with a time-varying delay:
It is well-known that a non-autonomous NFDE with a time-varying delay generally does not generate a semiflow and hence the methods for NFDE with constant delays in [1, 9, 10, 11, 12, 14] are not suitable for (1.4).