Mild solution of fractional order differential equations with not instantaneous impulses

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A class of fractional order systems with not instantaneous impulses

This paper is concerned with a kind of fractional order systems with Caputo-Hadamard derivative (of order q ∈ C and <(q) ∈ (1, 2)) and not instantaneous impulses. The obtained result uncovers that there exists a general solution for these impulsive systems, which means that the state trajectory of these impulsive systems is non-unique, and it is expounded by a numerical example. c ©2017 All rig...

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ژورنال

عنوان ژورنال: Open Mathematics

سال: 2015

ISSN: 2391-5455

DOI: 10.1515/math-2015-0042