(5) On analytical solution of system of nonlinear fractional boundary value problems associated with obstacle

Asif Waheed ^a , Syed Tauseef Mohyud-Din ^{b , ∗,} Iqra Naz ^a
a Department of Mathematics, COMSATS Institute of Information Technology, Attock, Pakistan

b Center for Research (CFR), University of Islamabad (UoI), Islamabad, Pakistan

Received 28 November 2017; received in revised form 11 December 2017; accepted 13 December 2017
Available online 19 December 2017

Abstract
In this paper, we use the modified variation of parameters method (MVPM), an elegant coupling of variation of parameters method (VPM) and Adomian’s decomposition method (ADM), for finding the analytical solution of system of nonlinear fractional boundary value problems associated with obstacle. Caputo sense of fractional derivative is used to coup up with fractional term. The results are calculated in terms of series with easily computable components. The used technique is quite easy and convenient for such type problems because it has been previously applied over several nonlinear obstacle systems.
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Keywords: Modified variation of parameters method; Caputo sense of fractional derivative; System of nonlinear fractional boundary value problems.