Short memory fractional differential equations for new memristor and neural network design
Sign Up to like & getrecommendations! Published in 2020 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-020-05572-z
Abstract: Fractional derivatives hold memory effects, and they are extensively used in various real-world applications. However, they also need large storage space and cause poor efficiency. In this paper, some standard definitions are revisited. Then, short… read more here.
Keywords: short memory; memristor neural; memory fractional; fractional differential ... See more keywords
Fractional impulsive differential equations: Exact solutions, integral equations and short memory case
Sign Up to like & getrecommendations! Published in 2019 at "Fractional Calculus and Applied Analysis"
DOI: 10.1515/fca-2019-0012
Abstract: Abstract Fractional impulsive differential equations are revisited first. Some fundamental solutions of linear cases are given in this study. One straightforward technique without using integral equation is adopted to obtain exact solutions which are given… read more here.
Keywords: impulsive differential; short memory; fractional impulsive; differential equations ... See more keywords