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Monotone scheme for nonlinear first-order hyperbolic initial-boundary value problems

✍ Scribed by A.S. Ackleh; Keng Deng


Book ID
118590115
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
414 KB
Volume
13
Category
Article
ISSN
0893-9659

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Monotone iterative sequences for nonline
✍ Mohammed Al-Refai; Mohamed Ali Hajji πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 382 KB

In this paper we extend the maximum principle and the method of upper and lower solutions to boundary value problems with the Caputo fractional derivative. We establish positivity and uniqueness results for the problem. We then introduce two well-defined monotone sequences of upper and lower solutio