On the numerical solution of fractional Sturm-Liouville problems

Qasem M. Al-Mdallal

doi:10.1080/00207160802562549

On the numerical solution of fractional Sturm-Liouville problems

Qasem M. Al-Mdallal

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

69 Citations (Scopus)

Abstract

The differential equation of Sturm-Liouville problems is generalized into fractional form by replacing the first-order derivative by a fractional derivative of order α 0 < α ≤ 1.We showed briefly that this class of eigenvalue could be very promising to the solution of linear fractional partial differential equations. The homotopy perturbation method is considered for computing the eigenelements of the present problem. Based on our simulations some theoretical conjectures are reported.

Original language	English
Pages (from-to)	2837-2845
Number of pages	9
Journal	International Journal of Computer Mathematics
Volume	87
Issue number	12
DOIs	https://doi.org/10.1080/00207160802562549
Publication status	Published - Oct 2010

Keywords

Sturm-Liouville problems
eigenvalues and eigenfunctions
fractional Sturm-Liouville problems
fractional calculus
homotopy perturbation method

ASJC Scopus subject areas

Computer Science Applications
Computational Theory and Mathematics
Applied Mathematics

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10.1080/00207160802562549

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AB - The differential equation of Sturm-Liouville problems is generalized into fractional form by replacing the first-order derivative by a fractional derivative of order α 0 < α ≤ 1.We showed briefly that this class of eigenvalue could be very promising to the solution of linear fractional partial differential equations. The homotopy perturbation method is considered for computing the eigenelements of the present problem. Based on our simulations some theoretical conjectures are reported.

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KW - homotopy perturbation method

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On the numerical solution of fractional Sturm-Liouville problems

Abstract

Keywords

ASJC Scopus subject areas

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