Analytical study of fractional Bratu-type equation arising in electro-spun organic nanofibers elaboration

Ved Prakash Dubey, Rajnesh Kumar and Devendra Kumar

Physica A: Statistical Mechanics and its Applications, 2019, vol. 521, issue C, 762-772

Abstract: In this article, we present a hybrid analytical scheme, namely, homotopy perturbation transform method to achieve the solutions of the non-linear Bratu-type problem with fractional order derivatives. The Caputo type fractional derivatives are considered in the present article. He’s polynomial is used to tackle the nonlinearity which arise in our considered problem. Using the initial conditions, the numerical solutions of the problem are computed. The numerical procedure reveals that only a few iterations are needed for better approximation of the solutions, which illustrates the effectiveness and reliability of the method. Effects of fractional order derivatives on the solutions for various particular cases are depicted through graphs.

Keywords: Fractional Bratu-type problem; Electrospun nanofibers; Numerical slab; Fuel ignition; Analytical 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:phsmap:v:521:y:2019:i:c:p:762-772

DOI: 10.1016/j.physa.2019.01.094

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