Mathematical Theory and Applications ›› 2018, Vol. 38 ›› Issue (1-2): 1-11.

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Existence of Solutions to Class of p-Laplace Fractional

  

  • Online:2018-06-30 Published:2020-09-18

Abstract: In this paper we investigate the existence of solutions to a class of p-Laplace fractional impulsive ordinary differential system.By using the mountain pass theorem, we show that the system has at least one nontrivial solution if its nonlinear term possesses a super-p-growth rate.

Key words:

Fractional ordinary differential systems, p-Laplace , Mountain pass theorem, Impulsive effect