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Existence of solutions for fractional impulsive differential equations with p-Laplacian operator

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Abstract

We investigate the boundary value problems for nonlinear fractional impulsive differential equations with p-Laplacian operator. By applying some standard fixed point theorems, we obtain new results on the existence and uniqueness of solutions. Examples are given to show the applicability of our results.

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Authors and Affiliations

  1. College of Sciences, Guangxi University for Nationalities, Nanning, Guangxi, 530006, P.R. China

    Zhenhai Liu & Liang Lu

  2. Departamento de Matemática, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile

    Iván Szántó

Authors
  1. Zhenhai Liu
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  2. Liang Lu
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  3. Iván Szántó
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Correspondence to Zhenhai Liu.

Additional information

Project supported by NNSF of China Grant No. 11271087, No. 61263006 and Guangxi Scientific Experimental (China-ASEAN Research) Centre No. 20120116.

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Liu, Z., Lu, L. & Szántó, I. Existence of solutions for fractional impulsive differential equations with p-Laplacian operator. Acta Math Hung 141, 203–219 (2013). https://doi.org/10.1007/s10474-013-0305-0

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  • DOI: https://doi.org/10.1007/s10474-013-0305-0

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