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Existence and numerical solutions of a coupled system of integral BVP for fractional differential equations

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This paper is devoted to establishing the existence theory for at least one solution to a coupled system of fractional order differential equations (FDEs). The problem under consideration is subjected… Click to show full abstract

This paper is devoted to establishing the existence theory for at least one solution to a coupled system of fractional order differential equations (FDEs). The problem under consideration is subjected to movable type integral boundary conditions over a finite time interval. Furthermore, we investigate the approximate solutions to the considered problem with the help of the differential transform. Moreover, some necessary conditions for the Hyers–Ulam type stability to the solution of the proposed problem are developed. The whole investigation has been illustrated by providing some suitable examples.

Keywords: numerical solutions; equations existence; differential equations; existence numerical; coupled system

Journal Title: Advances in Difference Equations
Year Published: 2018

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