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Fractal Fract 2018, 2(3), 22; https://doi.org/10.3390/fractalfract2030022

Implementation and Convergence Analysis of Homotopy Perturbation Coupled With Sumudu Transform to Construct Solutions of Local-Fractional PDEs

1
E3MI, Faculty of Sciences and Techniques Errachidia, University Moulay Ismail, Meknes 50050, Morocco
2
Department of Mathematics, Faculty of Basic Education, Public Authority for Applied Education and Training, Al-Ardhiya 92400, Kuwait
*
Author to whom correspondence should be addressed.
Received: 28 March 2018 / Revised: 30 July 2018 / Accepted: 31 July 2018 / Published: 7 September 2018
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Abstract

In the present paper, the explicit solutions of some local fractional partial differential equations are constructed through the integration of local fractional Sumudu transform and homotopy perturbation such as local fractional dissipative and damped wave equations. The convergence aspect of this technique is also discussed and presented. The obtained results prove that the employed method is very simple and effective for treating analytically various kinds of problems comprising local fractional derivatives. View Full-Text
Keywords: homotopy perturbation coupled with Sumudu transform technique; local fractional derivative; converegnce analysis homotopy perturbation coupled with Sumudu transform technique; local fractional derivative; converegnce analysis
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Ait Touchent, K.; Hammouch, Z.; Mekkaoui, T.; Belgacem, F.B.M. Implementation and Convergence Analysis of Homotopy Perturbation Coupled With Sumudu Transform to Construct Solutions of Local-Fractional PDEs. Fractal Fract 2018, 2, 22.

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