Ground state solutions for the fractional impulsive differential system with -Caputo fractional derivative and -Riemann-Liouville fractional integral

MATHEMATICAL METHODS IN THE APPLIED SCIENCES(2024)

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摘要
This article examines a new family of (p,q)-Laplacian type nonlinear fractional impulsive differential coupled equations involving both the psi-Caputo fractional derivative and psi-Riemann-Liouville fractional integral. With the help of Neharimani fold in critical point theory and fractional calculus properties, we obtain the existence of at least one nontrivial ground state solution for the coupled system with some natural and easily verifiable super linear conditions on the nonlinearity.
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关键词
psi-Caputo fractional derivative,psi--Riemann-Liouville fractional integral,ground state solution,Nehari manifold
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