A new impulsive sequential multi-orders fractional differential equation with boundary conditions
Abstract
In this paper, we present a new impulsive sequential multi-orders fractional differential equation is studied. The existence and uniqueness results are obtained for a nonlinear problem with fractional integral boundary conditions applying standard fixed point theorems. An example for the illustration of the main result is given.
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Amer Dababneh, B. Sami, Ma’mon Abu Hammad, Amjed Zraiqat, A new impulsive sequential multi-orders fractional differential equation with boundary conditions, J. Math. Comput. Sci., 10 (2020), 2871-2890. https://doi.org/10.28919/jmcs/4910
Copyright © 2020 Amer Dababneh, B. Sami, Ma’mon Abu Hammad, Amjed Zraiqat. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.