Variational approach to \(p\)-Laplacian fractional differential equations with instantaneous and non-instantaneous impulses

DOI10.1016/j.aml.2020.106251zbMath1441.34021OpenAlexW3005944970MaRDI QIDQ2176485

Yumei Deng, Jianwen Zhou, Yanning Wang

Publication date: 4 May 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106251

zbMATH Keywords

variational methodinequality techniquesnon-instantaneous impulsive\(p\)-Laplacian fractional differential equationsinstantaneous impulsive

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) 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 (11)

Fixed point theorem combined with variational methods for a class of nonlinear impulsive fractional problems with derivative dependence ⋮ Applications of variational methods to some three-point boundary value problems with instantaneous and noninstantaneous impulses ⋮ Existence and multiplicity of solutions for three-point boundary value problems with instantaneous and noninstantaneous impulses ⋮ Non‐uniqueness of solution for non‐instantaneous impulsive Hilfer–Hadamard fractional‐order system ⋮ Variational method to \(p\)-Laplacian fractional Dirichlet problem with instantaneous and noninstantaneous impulses ⋮ Ground state solutions of a fractional advection–dispersion equation ⋮ Existence and regularity of weak solutions for \(\psi\)-Hilfer fractional boundary value problem ⋮ Multiplicity solutions for a class of \(p\)-Laplacian fractional differential equations via variational methods ⋮ Existence results for ABC-fractional BVP via new fixed point results of \(F\)-Lipschitzian mappings ⋮ Existence of solutions for fractional instantaneous and non-instantaneous impulsive differential equations with perturbation and Dirichlet boundary value ⋮ Variational approach to instantaneous and noninstantaneous impulsive system of differential equations

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• Variational approach to differential equations with not instantaneous impulses
• Basic Theory of Fractional Differential Equations
• EXISTENCE RESULTS FOR FRACTIONAL BOUNDARY VALUE PROBLEM VIA CRITICAL POINT THEORY

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