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Exact solutions of the Laplace fractional boundary value problems via natural decomposition method

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Date

2020

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Open Access Color

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Abstract

In this article, exact solutions of some Laplace-type fractional boundary value problems (FBVPs) are investigated via natural decomposition method. The fractional derivatives are described within Caputo operator. The natural decomposition technique is applied for the first time to boundary value problems (BVPs) and found to be an excellent tool to solve the suggested problems. The graphical representation of the exact and derived results is presented to show the reliability of the suggested technique. The present study is mainly concerned with the approximate analytical solutions of some FBVPs. Moreover, the solution graphs have shown that the actual and approximate solutions are very closed to each other. The comparison of the proposed and variational iteration methods is done for integer-order problems. The comparison, support strong relationship between the results of the suggested techniques. The overall analysis and the results obtained have confirmed the effectiveness and the simple procedure of natural decomposition technique for obtaining the solution of BVPs. © 2020 Hajira et al., published by De Gruyter 2020.

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Analytical Procedure, Caputo Type Derivative, Laplace Equations, Natural Transformation

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Hajira...et al (2020). "Exact solutions of the Laplace fractional boundary value problems via natural decomposition method", Open Physics, Vol. 18, No. 1, pp. 1178-1187.

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Open Physics

Volume

18

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1

Start Page

1178

End Page

1187