Kaedah penguraian homotopi bagi menyelesaikan persamaan resapan pecahan-masa peringkat tinggi menerusi terbitan terubah suai beta

Translated title of the contribution: Homotopy decomposition method for solving higher-order time-fractional diffusion equation via modified beta derivative

Salah Abuasad, Ishak Hashim

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In this paper, the homotopy decomposition method with a modified definition of beta fractional derivative is adopted to find approximate solutions of higher-dimensional time-fractional diffusion equations. To apply this method, we find the modified beta integral for both sides of a fractional differential equation first, then using homotopy decomposition method we can obtain the solution of the integral equation in a series form. We compare the solutions obtained by the proposed method with the exact solutions obtained using fractional variational homotopy perturbation iteration method via modified Riemann-Liouville derivative. The comparison shows that the results are in a good agreement.

Original languageMalay
Pages (from-to)2899-2905
Number of pages7
JournalSains Malaysiana
Volume47
Issue number11
DOIs
Publication statusPublished - 1 Nov 2018

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decomposition
iteration
integral equations
differential equations
perturbation

ASJC Scopus subject areas

  • General

Cite this

Kaedah penguraian homotopi bagi menyelesaikan persamaan resapan pecahan-masa peringkat tinggi menerusi terbitan terubah suai beta. / Abuasad, Salah; Hashim, Ishak.

In: Sains Malaysiana, Vol. 47, No. 11, 01.11.2018, p. 2899-2905.

Research output: Contribution to journalArticle

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