Variational approach to fractional Dirichlet problem with instantaneous and non-instantaneous impulses

DOI10.1016/j.aml.2019.07.024zbMath1426.34022OpenAlexW2966773443MaRDI QIDQ2275255

Wei Zhang, Wenbin Liu

Publication date: 2 October 2019

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

Full work available at URL: https://doi.org/10.1016/j.aml.2019.07.024

zbMATH Keywords

variational methodDirichlet boundary value problemnon-instantaneous impulsesfractional differential equationinstantaneous impulses

Mathematics Subject Classification ID

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 (16)

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 ⋮ Multiple solutions for a class of \(p\)-Laplacian type fractional boundary value problems with instantaneous and non-instantaneous impulses ⋮ Approximate controllability for a class of instantaneous and non-instantaneous impulsive semilinear systems ⋮ Existence of solutions for fractional boundary value problems with a quadratic growth of fractional derivative ⋮ Finite‐time stability of fractional delay differential equations involving the generalized Caputo fractional derivative with non‐instantaneous 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 ⋮ HJB equation for optimal control system with random impulses ⋮ Existence and regularity of weak solutions for \(\psi\)-Hilfer fractional boundary value problem ⋮ On variational approaches for fractional differential equations ⋮ 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 ⋮ The Nehari manifold for aψ-Hilfer fractionalp-Laplacian ⋮ New results for some damped Dirichlet problems with impulses

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