POSITIVE SOLUTIONS FOR A P-LAPLACIAN TYPE SYSTEM OF IMPULSIVE FRACTIONAL BOUNDARY VALUE PROBLEM$ ^* $ | Zendy

Dongping Li | Zendy; Fangqi Chen | Zendy; Yukun An | Zendy

Open Access

POSITIVE SOLUTIONS FOR A <i>P</i>-LAPLACIAN TYPE SYSTEM OF IMPULSIVE FRACTIONAL BOUNDARY VALUE PROBLEM<inline-formula><tex-math id="M1">$ ^* $</tex-math></inline-formula>

Author(s) -

Dongping Li,

Fangqi Chen,

Yukun An

Publication year - 2020

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/20190131

Subject(s) - mathematics , boundary value problem , banach space , type (biology) , pure mathematics , mathematical analysis , dirichlet distribution , ecology , biology

In this paper, the aim is to discuss a class of p-Laplacian type fractional Dirichlet’s boundary value problem involving impulsive impacts. Based on the approaches of variational method and the properties of fractional derivatives on the reflexive Banach spaces, the existence results of positive solutions for our equations are established. Two examples are given at the end of each main result.

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