Solvability of mixed Hilfer fractional functional boundary value problems with \(p\)-Laplacian at resonance

DOI10.1186/s13661-022-01662-6zbMath1498.34037OpenAlexW4308432384MaRDI QIDQ2098276

Yanyan Li

Publication date: 17 November 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-022-01662-6

zbMATH Keywords

\(p\)-Laplacianresonancecontinuation theoremHilfer fractional derivativefunctional boundary conditions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional ordinary differential equations (34A08)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nontrivial solutions of boundary value problems for second-order functional differential equations
• Existence of solutions to functional boundary value problem of second-order nonlinear differential equation
• Solvability of fractional differential equations with \(p\)-Laplacian at resonance
• The method of lower and upper solutions for the general boundary value problems of fractional differential equations with \(p\)-Laplacian
• An extension of Mawhin's continuation theorem and its application to boundary value problems with a \(p\)-Laplacian
• Fractional nonlinear dynamics of learning with memory
• On abundant new solutions of two fractional complex models
• Fractional order differential systems involving right Caputo and left Riemann-Liouville fractional derivatives with nonlocal coupled conditions
• An efficient algorithm for solving the fractional optimal control of SIRV epidemic model with a combination of vaccination and treatment
• Multiple positive solutions for nonlinear high-order Riemann-Liouville fractional differential equations boundary value problems with \(p\)-Laplacian operator
• Existence of solutions for functional boundary value problems at resonance on the half-line
• Constructive existence of solutions of multi-point boundary value problem for Hilfer fractional differential equation at resonance
• A numerical technique for variable fractional functional boundary value problems
• Resonant functional problems of fractional order
• Positive solutions for multi-point boundary value problems of fractional differential equations with p-Laplacian
• Second-order functional problems with a resonance of dimension one
• Nonlocal boundary value problem for generalized Hilfer implicit fractional differential equations

This page was built for publication: Solvability of mixed Hilfer fractional functional boundary value problems with \(p\)-Laplacian at resonance