EXISTENCE OF SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATION WITH <i>P</i>-LAPLACIAN THROUGH VARIATIONAL METHOD

DOI10.11948/2018.1778zbMath1460.34016OpenAlexW2902597191MaRDI QIDQ5148046

Yukun An, Fangqi Chen, Dongping Li

Publication date: 29 January 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2018.1778

zbMATH Keywords

mountain pass theorem\(p\)-Laplacian operatorvariational methoditerative techniquefractional differential equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Fractional ordinary differential equations (34A08)

Related Items (10)

On the existence of three solutions of Dirichlet fractional systems involving the \(p\)-Laplacian with Lipschitz nonlinearity ⋮ Variational formulation for nonlinear impulsive fractional differential equations with (p, q)‐Laplacian operator ⋮ Multiplicity of Solutions for a Class of Nonlinear Fractional Boundary Value Systems via Variational Approach ⋮ The multiplicity of solutions for a class of nonlinear fractional Dirichlet boundary value problems with \(p\)-Laplacian type via variational approach ⋮ Existence of three solutions for perturbed nonlinear fractional \(p\)-Laplacian boundary value systems with two control parameters ⋮ Infinite existence solutions of fractional systems with Lipschitz nonlinearity ⋮ On existence of sequences of weak solutions of fractional systems with Lipschitz nonlinearity ⋮ Existence results for fractional Dirichlet problems of p -Laplacian with instantaneous and non-instantaneous impulses on time scales ⋮ POSITIVE SOLUTIONS FOR A <i>P</i>-LAPLACIAN TYPE SYSTEM OF IMPULSIVE FRACTIONAL BOUNDARY VALUE PROBLEM<inline-formula><tex-math id="M1">$ ^* $</tex-math></inline-formula> ⋮ EXISTENCE OF SOLUTIONS FOR A FRACTIONAL ADVECTION-DISPERSION EQUATION WITH IMPULSIVE EFFECTS VIA VARIATIONAL APPROACH

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