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Impulsive fractional boundary value problem with p-Laplace operator

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Published in 2017 at "Journal of Applied Mathematics and Computing"

DOI: 10.1007/s12190-016-1035-6

Abstract: In the present paper, we deal with the existence and multiplicity of solutions for the following impulsive fractional boundary value problem $$\begin{aligned} {_{t}}D_{T}^{\alpha }\left( \left| {_{0}}D_{t}^{\alpha }u(t)\right| ^{p-2}{_{0}}D_{t}^{\alpha }u(t)\right) + a(t)|u(t)|^{p-2}u(t)= & {} f(t,u(t)),\;\;t\ne t_j,\;\;\hbox… read more here.

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