The existence of solutions for an impulsive fractional coupled system of ( p ,  q )‐Laplacian type without the Ambrosetti‐Rabinowitz condition | Zendy

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

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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.

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