SOLVABILITY FOR RIEMANN-STIELTJES INTEGRAL BOUNDARY VALUE PROBLEMS OF BAGLEY-TORVIK EQUATIONS AT RESONANCE

DOI10.11948/20190289zbMath1457.34018OpenAlexW3112284056MaRDI QIDQ5858054

Nan Yao, Mei Jia, Xi-Ping Liu

Publication date: 9 April 2021

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

Full work available at URL: https://doi.org/10.11948/20190289

zbMATH Keywords

boundary value problemRiemann-Stieltjes integralCaputo derivativeBagley-Torvik equationresonant conditionMawhin's coincidence degree theory

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Cites Work

• Unnamed Item
• Unnamed Item
• Existence results for impulsive nonlinear fractional differential equation with mixed boundary conditions
• Positive solutions for eigenvalue problems of fractional differential equation with generalized \(p\)-Laplacian
• The method of lower and upper solutions for mixed fractional four-point boundary value problem with \(p\)-Laplacian operator
• The existence of solutions to boundary value problems of fractional differential equations at resonance
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Multiplicity of solutions for integral boundary value problems of fractional differential equations with upper and lower solutions
• The method of lower and upper solutions for the general boundary value problems of fractional differential equations with \(p\)-Laplacian
• Denumerably many positive solutions for a \(n\)-dimensional higher-order singular fractional differential system
• Application of Avery-Peterson fixed point theorem to nonlinear boundary value problem of fractional differential equation with the Caputo's derivative
• Solvability and numerical simulations for BVPs of fractional coupled systems involving left and right fractional derivatives
• A class of nonlocal problems of fractional differential equations with composition of derivative and parameters
• Exact and discretized stability of the Bagley-Torvik equation
• Existence of solutions to fractional boundary value problems at resonance in Hilbert spaces
• Resonant functional problems of fractional order
• Iterative positive solutions to a coupled fractional differential system with the multistrip and multipoint mixed boundary conditions
• On the Appearance of the Fractional Derivative in the Behavior of Real Materials
• Boundary value problems for Bagley--Torvik fractional differential equations at resonance
• ON POSITIVE SOLUTIONS OF EIGENVALUE PROBLEMS FOR A CLASS OF <i>P</i>-LAPLACIAN FRACTIONAL DIFFERENTIAL EQUATIONS
• Correlation functions for the fractional generalized Langevin equation in the presence of internal and external noise
• ITERATIVE METHOD FOR A CLASS OF FOURTH-ORDER <i>P</i>-LAPLACIAN BEAM EQUATION

This page was built for publication: SOLVABILITY FOR RIEMANN-STIELTJES INTEGRAL BOUNDARY VALUE PROBLEMS OF BAGLEY-TORVIK EQUATIONS AT RESONANCE