Impulsive fractional boundary value problem with \(p\)-Laplace operator

DOI10.1007/s12190-016-1035-6zbMath1375.35614OpenAlexW2462487169MaRDI QIDQ1677131

César E. Torres Ledesma, Nemat Nyamoradi

Publication date: 10 November 2017

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-016-1035-6

zbMATH Keywords

mountain pass theorem\(p\)-Laplacian operatorfractional calculusmixed fractional derivatives

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Fractional partial differential equations (35R11)

Related Items (19)

Multiplicity results for impulsive fractional differential equations with \(p\)-Laplacian via variational methods ⋮ Existence of solutions for nonlinear fractional order \(p\)-Laplacian differential equations via critical point theory ⋮ Multiplicity of solutions to fractional Hamiltonian systems with impulsive effects ⋮ Even non-increasing solution for a Schrödinger type problem with Liouville-Weyl fractional derivative ⋮ Analysis of a class of nonlinear fractional differential models generated by impulsive effects ⋮ The multiplicity of solutions for a class of nonlinear fractional Dirichlet boundary value problems with \(p\)-Laplacian type via variational approach ⋮ \((k, \psi)\)-Hilfer impulsive variational problem ⋮ Solutions of the mean curvature equation with the Nehari manifold ⋮ Existence and multiplicity for fractional Dirichlet problem with γ(ξ)-Laplacian equation and Nehari manifold ⋮ Multiplicity results for a class of fractional differential equations with impulse ⋮ NEHARI MANIFOLD AND MULTIPLICITY RESULTS FOR A CLASS OF FRACTIONAL BOUNDARY VALUE PROBLEMS WITH p-LAPLACIAN ⋮ Fractional Sobolev space with Riemann-Liouville fractional derivative and application to a fractional concave-convex problem ⋮ Variational methods to the \(p\)-Laplacian type nonlinear fractional order impulsive differential equations with Sturm-Liouville boundary-value problem ⋮ Existence results for non-instantaneous impulsive nonlinear fractional differential equation via variational methods ⋮ Ultimate boundedness of impulsive fractional delay differential equations ⋮ EXISTENCE AND MULTIPLICITY OF WEAK SOLUTIONS FOR A CLASS OF FRACTIONAL STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS WITH IMPULSIVE CONDITIONS ⋮ Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulses ⋮ Nehari manifold for weighted singular fractional \(p\)-Laplace equations ⋮ The Nehari manifold for aψ-Hilfer fractionalp-Laplacian

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