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Wang, Guotao

Monotone iterative technique for boundary value problems of a nonlinear fractional differential equation with deviating arguments. (English) Zbl 1238.65077

J. Comput. Appl. Math. 236, No. 9, 2425-2430 (2012).
The author considers a nonlinear fractional differential equation with deviating arguments. A method of upper and lower solutions and the monotone iterative technique is used to prove constructive existence results for the problem under consideration. Some useful example is presented to illustrate the method considered by the author.
Reviewer: Abdallah Bradji (Annaba)

Cited in 66 Documents

MSC:

65L10 Numerical solution of boundary value problems involving ordinary differential equations
65L03 Numerical methods for functional-differential equations
34K10 Boundary value problems for functional-differential equations
34K37 Functional-differential equations with fractional derivatives
34K28 Numerical approximation of solutions of functional-differential equations (MSC2010)

Keywords:

monotone iterative technique; boundary value problems; nonlinear fractional differential equation; deviating arguments; Riemann-Liouville fractional derivatives; nonlinear boundary conditions
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\textit{G. Wang}, J. Comput. Appl. Math. 236, No. 9, 2425--2430 (2012; Zbl 1238.65077)
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References:

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