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

DOI10.1002/MMA.5435zbMath1418.34013OpenAlexW2910573038MaRDI QIDQ5378468

Fangqi Chen, Dongping Li, Yukun An

Publication date: 29 May 2019

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.5435

zbMATH Keywords

mountain pass theoremvariational approachfractional differential equationsAmbrosetti-Rabinowitz condition\((p, q)\)-Laplacian type

Mathematics Subject Classification ID

Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Boundary value problems with impulses for ordinary differential equations (34B37) Fractional ordinary differential equations (34A08)

Related Items (5)

Variational formulation for nonlinear impulsive fractional differential equations with (p, q)‐Laplacian operator ⋮ Existence and multiplicity of solutions for (p,q)$$ \left(p,q\right) $$‐Laplacian Kirchhoff‐type fractional differential equations with impulses ⋮ Variational methods to the \(p\)-Laplacian type nonlinear fractional order impulsive differential equations with Sturm-Liouville boundary-value problem ⋮ Existence and regularity of weak solutions for \(\psi\)-Hilfer fractional boundary value problem ⋮ Variational approach to instantaneous and noninstantaneous impulsive system of differential equations

This page was built for publication: The existence of solutions for an impulsive fractional coupled system of (p, q)‐Laplacian type without the Ambrosetti‐Rabinowitz condition