Monotone iterative sequences for nonlinear boundary value problems of fractional order
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Publication:540235
DOI10.1016/j.na.2011.03.006zbMath1219.34005OpenAlexW2083006551MaRDI QIDQ540235
Mohamed Ali Hajji, Mohammed Al-Refai
Publication date: 1 June 2011
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2011.03.006
maximum principlelower and upper solutionsboundary value problemsfractional differential equationsCaputo fractional derivative
Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Fractional ordinary differential equations (34A08)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Series solutions of non-linear Riccati differential equations with fractional order
- Delay differential equations: with applications in population dynamics
- Upper and lower solutions method for impulsive partial hyperbolic differential equations with fractional order
- A collocation-shooting method for solving fractional boundary value problems
- Decomposition method for solving fractional Riccati differential equations
- A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
- The method of upper and lower solutions and impulsive fractional differential inclusions
- Series solutions of systems of nonlinear fractional differential equations
- Analytical approach to linear fractional partial differential equations arising in fluid mechanics
- On the numerical solution of fractional Sturm–Liouville problems
- Upper and lower solutions method and a fractional differential equation boundary value problem
- Nonlinear elliptic boundary-value problems in unbounded domains
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