Existence and regularity of weak solutions for \(\psi\)-Hilfer fractional boundary value problem

DOI10.1007/s00009-021-01789-3zbMath1479.34018OpenAlexW3171068803MaRDI QIDQ2046653

M. Aurora P. Pulido, Edmundo Capelas de Oliveira, J. Vanterler da Costa Sousa

Publication date: 26 August 2021

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-021-01789-3

zbMATH Keywords

weak solutionexistence and regularityLax-Milgram theorem\(\psi\)-fractional differential boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Related Items (7)

Time-fractional diffusion equation with \(\psi\)-Hilfer derivative ⋮ Results on approximate controllability of fractional stochastic Sobolev‐type Volterra–Fredholm integro‐differential equation of order 1 < r < 2 ⋮ Generalized derivatives and Laplace transform in (k,ψ)‐Hilfer form ⋮ A study on \(k\)-generalized \(\psi\)-Hilfer derivative operator ⋮ Existence of solutions for a singular double phase problem involving a \(\psi\)-Hilfer fractional operator via Nehari manifold ⋮ \(p\)-Laplacian type equations via mountain pass theorem in Cerami sense ⋮ Nehari manifold and fractional Dirichlet boundary value problem

Cites Work

• Unnamed Item
• Unnamed Item
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• Unnamed Item
• Boundary value problem with fractional \(p\)-Laplacian operator
• Existence of solutions of fractional boundary value problems with \(p\)-Laplacian operator
• Existence of solutions for a class of fractional boundary value problems via critical point theory
• Functional analysis, Sobolev spaces and partial differential equations
• Infinitely many solutions for nonlinear fractional boundary value problems via variational methods
• Variational approach to homoclinic solutions for fractional Hamiltonian systems
• Validation of a fractional model for erythrocyte sedimentation rate
• Stability of \(\psi\)-Hilfer impulsive fractional differential equations
• Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation
• Existence and concentration of solution for a class of fractional Hamiltonian systems with subquadratic potential
• Existence of solutions for nonlinear fractional order \(p\)-Laplacian differential equations via critical point theory
• Variational approach to \(p\)-Laplacian fractional differential equations with instantaneous and non-instantaneous impulses
• Leibniz type rule: \(\psi\)-Hilfer fractional operator
• On the \(\psi\)-Hilfer fractional derivative
• Variational approach to fractional Dirichlet problem with instantaneous and non-instantaneous impulses
• A variational approach for boundary value problems for impulsive fractional differential equations
• Fractional order pseudoparabolic partial differential equation: Ulam-Hyers stability
• Multiplicity of solutions for fractional Hamiltonian systems with Liouville-Weyl fractional derivatives
• Variational approach to solutions for a class of fractional Hamiltonian systems
• On the existence and stability for noninstantaneous impulsive fractional integrodifferential equation
• EXISTENCE RESULTS FOR FRACTIONAL BOUNDARY VALUE PROBLEM VIA CRITICAL POINT THEORY
• Stability of the fractional Volterra integro‐differential equation by means of ψ‐Hilfer operator
• The existence of solutions for an impulsive fractional coupled system of (p, q)‐Laplacian type without the Ambrosetti‐Rabinowitz condition

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