Fractal Logistic Equation

In this paper, we give difference equations on fractal sets and their corresponding fractal differential equations.An analogue of the classical Euler method in fractal calculus is defined.This fractal Euler method presets a numerical method Love Oil for solving fractal differential equations and finding approximate analytical solutions.Fractal diff

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Design and validation of an open-source modular Microplate Photoirradiation System for high-throughput photobiology experiments.

Research in photobiology is currently limited by a lack of devices capable of delivering precise and tunable irradiation to cells in a high-throughput format.This limits researchers to using expensive commercially available or custom-built light sources which make it difficult to replicate, standardize, optimize, and scale experiments.Here we prese

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Switching Laws Design for Stability of Finite and Infinite Delayed Switched Systems With Stable and Unstable Modes

This paper studies the switching laws designed to maintain the stability of delayed switched nonlinear systems with both stable and unstable modes.The addressed time delays include finite and infinite delays.First, we consider the finitely delayed nonlinear switched systems and establish some delay differential inequalities that play an important r

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