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Variational method for p ‐Laplacian fractional differential equations with instantaneous and non‐instantaneous impulses
Author(s) -
Qiao Yan,
Chen Fangqi,
An Yukun
Publication year - 2021
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.7276
Subject(s) - mathematics , mathematical analysis , class (philosophy) , sequence (biology) , laplace operator , p laplacian , fractional laplacian , differential equation , partial differential equation , boundary value problem , boundary (topology) , genetics , artificial intelligence , computer science , biology
We discuss a class of p ‐Laplacian fractional differential equations with instantaneous and non‐instantaneous impulsive boundary conditions. The existence of an unbounded sequence of weak solutions is given by a recent critical point theory proposed by Bonanno and Bisci. At the end, an example is presented to illustrate our main results.