Monotone iterative method for two-point fractional boundary value problems

DOI10.1186/s13662-018-1632-9zbMath1446.34034OpenAlexW2805641525WikidataQ129813345 ScholiaQ129813345MaRDI QIDQ1712245

Jing Zhao, Bo Tang, Zhen-Hai Liu

Publication date: 21 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1632-9

zbMATH Keywords

upper and lower solutionsboundary value problemmaximal and minimal solutionsRiemann-Liouville derivative

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (4)

Singular double phase problems with convection ⋮ Monotone iterative method for fractional differential equations with integral boundary conditions ⋮ Quasilinearization technique for solving nonlinear Riemann-Liouville fractional-order problems ⋮ A novel error analysis of spectral method for the anomalous subdiffusion problems with multi-term time-fractional derivative

Cites Work

• Monotone iterative sequences for nonlinear boundary value problems of fractional order
• Initial value problems for fractional differential equations involving Riemann-Liouville sequential fractional derivative
• Monotone iterative method for initial value problem involving Riemann-Liouville fractional derivatives
• A positive operator approach to the Neumann problem for a second order ordinary differential equation
• A constructive monotone iterative method for second-order BVP in the presence of lower and upper solutions
• Upper and lower solutions method and a fractional differential equation boundary value problem
• Monotone iterative method for a class of nonlinear fractional differential equations on unbounded domains in Banach spaces
• Approximate Controllability of Fractional Evolution Systems with Riemann--Liouville Fractional Derivatives
• Monotone method for the Neumann problem with lower and upper solutions in the reverse order
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