Journal
ADVANCES IN DIFFERENCE EQUATIONS
Volume 2020, Issue 1, Pages -Publisher
SPRINGEROPEN
DOI: 10.1186/s13662-020-2536-z
Keywords
Fractional differential equations; Impulsive fractional differential equations; Generalized fractional derivative; Non-uniqueness of solution
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Funding
- National Natural Science Foundation of China [21576033, 21636004]
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In this paper we consider the initial value problem for some impulsive differential equations with higher order Katugampola fractional derivative (fractional order q is an element of(1,2]). The systems of impulsive higher order fractional differential equations can involve one or two kinds of impulses, and by analyzing the error between the approximate solution and exact solution it is found that these impulsive systems are equivalent to some integral equations with one or two undetermined constants correspondingly, which uncover the non-uniqueness of solution to these impulsive systems. Some numerical examples are offered to explain the obtained results.
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