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

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$Ground state solutions for the fractional impulsive differential system with ψ‐Caputo fractional derivative and ψ–Riemann–Liouville fractional integral$

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

Li, Dongping; Li, Yankai; Feng, Xiaozhou; Li, Changtong; Wang, Yuzhen; Gao, Jie

Mathematical methods in the applied sciences, 30 July 2024, Letnik: 47, Številka: 11

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This article examines a new family of (p,q)‐Laplacian type nonlinear fractional impulsive differential coupled equations involving both the ψ$$ \psi $$‐Caputo fractional derivative and ψ$$ \psi $$–Riemann–Liouville fractional integral. With the help of Nehari manifold 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 superlinear conditions on the nonlinearity.

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Leto	Faktor vpliva		Izdaja		Kategorija		Razvrstitev
Leto	JCR	SNIP	JCR	SNIP	JCR	SNIP	JCR	SNIP

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