Solvability and numerical simulations for BVPs of fractional coupled systems involving left and right fractional derivatives

Xiping Liu and Mei Jia

Applied Mathematics and Computation, 2019, vol. 353, issue C, 230-242

Abstract: We study the three-point boundary value problems for the fractional differential coupled systems with both left and right fractional derivatives in the paper. Firstly, the upper-lower solutions method for the systems is presented and some existence results to the systems solutions are also obtained. Secondly, we also give out an iterative approach for finding approximate solutions of the systems. Finally, we consider a concrete example where we obtain the existence result of the solution and also give out its numerical solution and the graphical simulation.

Keywords: Fractional coupled systems; Left and right fractional derivatives; Boundary value problems; Upper-lower solutions method; Iterative approach; Numerical solution (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:353:y:2019:i:c:p:230-242

DOI: 10.1016/j.amc.2019.02.011

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