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Zbl 1234.26019
Ram\'irez, J.D.; Vatsala, A.S.
Monotone method for nonlinear Caputo fractional boundary value problems. (English)
[J] Dyn. Syst. Appl. 20, No. 1, 73-88 (2011). ISSN 1056-2176

Summary: Using upper and lower solutions, we develop a monotone method for the nonlinear Caputo fractional boundary value problem of order a where $1<\alpha<2$. We construct two sequences which converge uniformly and monotonically to the extremal solutions of the nonlinear Caputo fractional boundary value problem.
MSC 2000:
*26A33 Fractional derivatives and integrals (real functions)
34B15 Nonlinear boundary value problems of ODE
34A08

Keywords: uniform convergence; fractional differential equations

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