Multiplicity results for a class of fractional differential equations with impulse

DOI10.1186/s13662-018-1783-8zbMath1448.34032OpenAlexW2892240061WikidataQ129202666 ScholiaQ129202666MaRDI QIDQ1716038

Yulin Zhao, Haibo Chen, Xiao-Yan Shi

Publication date: 29 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1783-8

zbMATH Keywords

Morse theorynontrivial solutionfractional differential equationimpulsive effects

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Fractional derivatives and integrals (26A33) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Fractional ordinary differential equations (34A08)

Related Items (2)

Multiple positive solutions for perturbed nonlinear fractional differential system with two control parameters ⋮ Multiple solution results for perturbed fractional differential equations with impulses

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Boundary value problem with fractional \(p\)-Laplacian operator
• Morse theory and local linking for a class of boundary value problems with impulsive effects
• A survey on impulsive fractional differential equations
• On the concept and existence of solution for impulsive fractional differential equations
• Multiple solutions for an impulsive boundary value problem on the half-line via Morse theory
• Existence of solutions for a class of fractional boundary value problems via critical point theory
• Nontrivial solutions for a class of perturbed fractional differential systems with impulsive effects
• Impulsive fractional boundary value problem with \(p\)-Laplace operator
• Multiplicity of solutions to fractional Hamiltonian systems with impulsive effects
• On boundary value problems for impulsive fractional differential equations
• Nontrivial solutions for impulsive fractional differential equations via Morse theory
• Infinite dimensional Morse theory and multiple solution problems
• Some results for impulsive problems via Morse theory
• Multiple solutions to boundary value problem for impulsive fractional differential equations
• Multiplicity results for impulsive fractional differential equations with \(p\)-Laplacian via variational methods
• Multiplicity results for superlinear boundary value problems with impulsive effects
• Multiplicity results for a class of boundary value problems with impulsive effects
• Existence of solutions to boundary value problem for impulsive fractional differential equations
• EXISTENCE RESULTS FOR FRACTIONAL BOUNDARY VALUE PROBLEM VIA CRITICAL POINT THEORY
• Infinitely many solutions for perturbed impulsive fractional differential systems
• Basic Theory of Fractional Differential Equations
• Remarks on multiple nontrivial solutions for quasi-linear resonant problems

This page was built for publication: Multiplicity results for a class of fractional differential equations with impulse