Computing eigenelements of sturm-liouville problems of fractional order via fractional differential transform method

Creative Commons License

Ertürk V. S.

Mathematical and Computational Applications, cilt.16, sa.3, ss.712-720, 2011 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 3
  • Basım Tarihi: 2011
  • Doi Numarası: 10.3390/mca16030712
  • Dergi Adı: Mathematical and Computational Applications
  • Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.712-720
  • Anahtar Kelimeler: Caputo derivative, Eigenelement, Fractional differential transform method, Sturm-liouville prolems
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this study, fractional differential transform method (FDTM), which is a semi analytical-numerical technique, is used for computing the eigenelements of the Sturm-Liouville problems of fractional order. The fractional derivatives are described in the Caputo sense. Three problems are solved by the present method. The calculated results are compared closely with the results obtained by some existing techniques in literature. It is observed that FDTM can be utilized as an alternative tool for the solution of this type of problems. © Association for Scientific Research.