The existence of solutions for an impulsive fractional coupled system of (p, q)-Laplacian type without the Ambrosetti-Rabinowitz condition
Corresponding Author
Dongping Li
Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, China
Correspondence
Dongping Li, Fangqi Chen and Yukun An, Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China.
Email: [email protected]; [email protected]; [email protected]
Communicated by: P. Colli
Search for more papers by this authorFangqi Chen
Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, China
College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China
Search for more papers by this authorYukun An
Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, China
Search for more papers by this authorCorresponding Author
Dongping Li
Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, China
Correspondence
Dongping Li, Fangqi Chen and Yukun An, Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China.
Email: [email protected]; [email protected]; [email protected]
Communicated by: P. Colli
Search for more papers by this authorFangqi Chen
Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, China
College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China
Search for more papers by this authorYukun An
Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, China
Search for more papers by this authorAbstract
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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