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The existence of solutions for an impulsive fractional coupled system of ( p , q )‐Laplacian type without the Ambrosetti‐Rabinowitz condition
Author(s) -
Li Dongping,
Chen Fangqi,
An Yukun
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5435
Subject(s) - mathematics , type (biology) , p laplacian , nonlinear system , laplace operator , fractional laplacian , mathematical analysis , omega , pure mathematics , boundary value problem , ecology , physics , quantum mechanics , biology
In this article, based on the variational approach, the existence of at least one nontrivial solution is studied for ( p , q )‐Laplacian type impulsive fractional differential equations involving Riemann‐Liouville derivatives. Without the usual Ambrosetti‐Rabinowitz condition, the nonlinearity f in the paper is considered under some suitable assumptions.