A variational approach for a problem involving a \(\psi \)-Hilfer fractional operator

DOI10.11948/20200343MaRDI QIDQ6596675

J. Vanterler da Costa Sousa, César Torres, Leandro S. Tavares

Publication date: 2 September 2024

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

zbMATH Keywords

mountain pass theoremvariational structureboundary value problemfractional differential equations\( \psi \)-fractional derivative space

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Boundary value problem with fractional \(p\)-Laplacian operator
• Multiple solutions for a coupled system of nonlinear fractional differential equations via variational methods
• Existence of solutions for a fractional boundary value problem via the mountain pass method and an iterative technique
• Positive solutions for a class of fractional boundary value problem with changing sign nonlinearity
• Existence of solutions for a class of fractional boundary value problems via critical point theory
• On the relation between sources and initial conditions for the wave and diffusion equations
• Existence and concentration of solutions for a non-linear fractional Schrödinger equation with steep potential well
• Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
• Multiplicity solutions for a class of fractional Hamiltonian systems with concave-convex potentials
• Solutions for a class of fractional Hamiltonian systems with a parameter
• Impulsive fractional boundary value problem with \(p\)-Laplace operator
• Analysis of a class of nonlinear fractional differential models generated by impulsive effects
• Validation of a fractional model for erythrocyte sedimentation rate
• Least squares finite-element solution of a fractional order two-point boundary value problem
• Existence and multiplicity of nontrivial solutions for Liouville-Weyl fractional nonlinear Schrödinger equation
• Existence of a weak solution for fractional Euler-Lagrange equations
• Multiple solutions for a fractional difference boundary value problem via variational approach
• Stability of a fractional HIV/AIDS model
• Variational formulation of time-fractional parabolic equations
• Existence of solution for a general fractional advection-dispersion equation
• Existence of solutions for nonlinear fractional order \(p\)-Laplacian differential equations via critical point theory
• Existence and symmetric result for Liouville-Weyl fractional nonlinear Schrödinger equation
• Existence of a solution for the fractional forced pendulum
• Generalized shifted Chebyshev polynomials: solving a general class of nonlinear variable order fractional PDE
• Leibniz type rule: \(\psi\)-Hilfer fractional operator
• On the properties of some operators under the perspective of fractional system theory
• On the \(\psi\)-Hilfer fractional derivative
• Multiplicity of solutions for a class of perturbed fractional Hamiltonian systems
• Multiple solutions for a class of fractional Hamiltonian systems
• Dual variational methods in critical point theory and applications
• Further properties of Osler's generalized fractional integrals and derivatives with respect to another function
• Existence of infinitely many solutions for a class of fractional Hamiltonian systems
• Fractional calculus and the ESR test
• Variational structure and multiple solutions for a fractional advection-dispersion equation
• Weak and viscosity solutions of the fractional Laplace equation
• Solvability of second-order Hamiltonian systems with impulses via variational method
• Multiplicity of solutions for fractional Hamiltonian systems with Liouville-Weyl fractional derivatives
• The Two Forms of Fractional Relaxation of Distributed Order
• Critical points and nonlinear variational problems
• EXISTENCE RESULTS FOR FRACTIONAL BOUNDARY VALUE PROBLEM VIA CRITICAL POINT THEORY

Related Items (14)

Existence and multiplicity of solutions for fractional differential equations with \(p\)-Laplacian at resonance ⋮ Existence and uniqueness of solutions for the fractional differential equations with \(p\)-Laplacian in \(\mathbb{H}_p^{\nu , \eta ; \psi}\) ⋮ Fractional double-phase nonlocal equation in Musielak-Orlicz Sobolev space ⋮ Basic results for fractional anisotropic spaces and applications ⋮ Numerical methods for the Caputo-type fractional derivative with an exponential kernel ⋮ Multiplicity of solutions for fractional \(\kappa (X)\)-Laplacian equations ⋮ Existence results for some \(\psi\)-Hilfer iterative approximation ⋮ Positive, negative, and sign-changing solutions for Kirchhoff problem involving Riemann fractional derivative with respect to a function ⋮ Existence and multiplicity of solutions to a \(\psi\)-Hilfer fractional \(p\)-Laplacian equations ⋮ On the fractional pseudo-parabolic \(p(\xi)\)-Laplacian equation ⋮ \( \psi \)-tempered fractional differential equations with impulses ⋮ A singular generalized Kirchhoff-double-phase problem with \(p\)-Laplacian operator ⋮ Existence and regularity results for a system of \(\Lambda\)-Hilfer fractional differential equations by the generalized Lax-Milgram theorem ⋮ A note on a generalized singular capillarity system with \(\Im\)-Hilfer fractional derivative

This page was built for publication: A variational approach for a problem involving a \(\psi \)-Hilfer fractional operator

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6596675)