The general solution for impulsive differential equations with Riemann-Liouville fractional-order q ∈ (1,2)

By Xianmin Zhang, Praveen Agarwal, Zuohua Liu, Hui Peng. 2015

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Abstract In this paper we consider the generalized impulsive system with Riemann-Liouville fractional-order q ∈ (1,2) and obtained the error of the approximate solution for this impulsive system by analyzing of the limit case (as impulses approach zero), as well as find the formula for a general solution. Furthermore, an example is given to illustrate the importance of our results.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/c190b8176c2b2fed655e11c0df2e03bca8d5f36f