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Stability analysis of multi-point boundary conditions for fractional differential equation with non-instantaneous
Guodong Li1, Ying Zhang1, Yajuan Guan1
1Department of System Science and Applied Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650500, China.
Abstract:
This paper considers the stability of a fractional differential equation with multi-point boundary conditions and non-instantaneous integral impulse. Some sufficient conditions for the existence, uniqueness and at least one solution of the aforementioned equation are studied by using the Diaz-Margolis fixed point theorem. Secondly, the Ulam stability of the equation is also discussed. Lastly, we give one example to support our main results. It is worth pointing out that these two non-instantaneous integral impulse and multi-point boundary conditions factors are simultaneously considered in the fractional differential equations studied for the first time.
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