Abstract
A class of periodic boundary value problems for higher order fractional differential equations with impulse effects is considered. We first convert the problem to an equivalent integral equation. Then, using a fixed-point theorem in Banach space, we establish existence results of solutions for this kind of boundary value problem for impulsive singular higher order fractional differential equations. Two examples are presented to illustrate the efficiency of the results obtained.
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Liu, Y. Solvability of impulsive periodic boundary value problems for higher order fractional differential equations. Arab. J. Math. 5, 195–214 (2016). https://doi.org/10.1007/s40065-016-0153-1
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DOI: https://doi.org/10.1007/s40065-016-0153-1