Nontrivial solutions for a class of perturbed fractional differential systems with impulsive effects

DOI10.1186/s13661-016-0635-2zbMath1342.34040OpenAlexW2462617359WikidataQ59462199 ScholiaQ59462199MaRDI QIDQ737144

Yulin Zhao, Yanlin Zhao

Publication date: 8 August 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-016-0635-2

zbMATH Keywords

variational methodscritical point theorynontrivial solutionfractional differential systemsimpulsive effects

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Functional-differential equations with impulses (34K45) Fractional ordinary differential equations (34A08)

Related Items (11)

Infinitely many solutions for impulsive fractional boundary value problem with \(p\)-Laplacian ⋮ The existence of solutions for perturbed fractional differential equations with impulses via Morse theory ⋮ Existence of weak solutions for a new class of fractional boundary value impulsive systems with Riemann-Liouville derivatives ⋮ Multiplicity results for impulsive fractional differential equations with \(p\)-Laplacian via variational methods ⋮ Multiplicity results for a class of fractional differential equations with impulse ⋮ Infinitely many solutions for a class of fractional impulsive coupled systems with \((p, q)\)-Laplacian ⋮ Infinitely many nontrivial solutions for fractional boundary value problems with impulses and perturbation ⋮ Variational method to a fractional impulsive \((p,q)\)-Laplacian coupled systems with partial sub-\((p,q)\) linear growth ⋮ Nontrivial solutions for impulsive fractional differential equations via Morse theory ⋮ A variational approach to perturbed impulsive fractional differential equations ⋮ Multiplicity solutions of fractional impulsive \(p\)-Laplacian systems: new result

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