On the numerical solution of fractional Sturm-Liouville problems

International Journal of Computer Mathematics

Volumn 87, Issue 12, 2010, Pages 2837-2845

  Al Mdallal, Qasem M ^a  

^a UNITED ARAB EMIRATES UNIVERSITY   (United Arab Emirates)

Author keywords

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

Indexed keywords

EIGENELEMENTS; FIRST-ORDER DERIVATIVE; FRACTIONAL CALCULUS; FRACTIONAL DERIVATIVES; FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS; HOMOTOPY PERTURBATION METHOD (HPM); NUMERICAL SOLUTION; STURM-LIOUVILLE PROBLEM;

EIGENVALUES AND EIGENFUNCTIONS; PARTIAL DIFFERENTIAL EQUATIONS;

MATHEMATICAL TECHNIQUES;

EID: 77957977302     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/00207160802562549     Document Type: Article

References (10)

1. F. M. Allan, Derivation of the Adomian decomposition method using the homotopy analysis method, Appl. Math. Comput. 190(2007), pp. 6-14.
2. Q. M. Al-Mdallal, An efficient method for solving fractional Sturm-Liouville problems, Chaos Solitons Fractals 40(2009), pp. 183-189.
3. B. S. Attili, The Adomian decomposition method for computing eigenelements of Sturm-Liouville two point boundary value problems, Appl. Math. Comput. 168(2005), pp. 1306-1316.
4. B. S. Attili and M. I. Syam, The homotopy perturbation method for the eigen-elements of a class of two-point boundary value problems, Adv. Stud. Contemp. Math. 14(2007), pp. 83-102.
5. C.-K. Chen and S.-H. Ho, Application of differential transformation to eigenvalue problems, Appl. Math. Comput. 79(1996), pp. 173-188.
6. I. H. Hassan, On solving some eigenvalue problems by using a differential transformation, Appl. Math. Comput. 127(2002), pp. 1-22.
7. K. S. Miller and B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations, John Wiley and Sons, Inc., New York, 1993.
8. K. B. Oldham and J. Spanier, The Fractional Calculus, Academic Press, New York, 1974.
9. I. Podlubny, Fractional Differential Equations, Academic Press, New York, 1999.
10. M. I. Syam and Q. M. Al-Mdallal, The iterated variational method for the eigenelements of a class of two-point boundary value problems, Aust. J. Math. Anal. Appl. 4 (2007) pp. 1-9.