Department of Mathematics, University of Malakand, Chakadara Dir(L), Khyber Pakhtunkhwa, Pakistan
Abstract
In this article, we investigate sufficient conditions for existence of maximal and minimal solutions to a coupled system of highly nonlinear differential equations of fractional order with mixed type boundary conditions. To achieve this goal, we apply monotone iterative technique together with the method of upper and lower solutions. Also an error estimation is given to check the accuracy of the method. We provide an example to illustrate our main results.
Shah, K., & Khan, R. (2015). Iterative scheme to a coupled system of highly nonlinear fractional order differential equations. Computational Methods for Differential Equations, 3(3), 163-176.
MLA
Kamal Shah; Rahmat Khan. "Iterative scheme to a coupled system of highly nonlinear fractional order differential equations". Computational Methods for Differential Equations, 3, 3, 2015, 163-176.
HARVARD
Shah, K., Khan, R. (2015). 'Iterative scheme to a coupled system of highly nonlinear fractional order differential equations', Computational Methods for Differential Equations, 3(3), pp. 163-176.
VANCOUVER
Shah, K., Khan, R. Iterative scheme to a coupled system of highly nonlinear fractional order differential equations. Computational Methods for Differential Equations, 2015; 3(3): 163-176.
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