A FINITE DIFFERENCE TECHNIQUE FOR SOLVING VARIABLE-ORDER FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, cilt.40, sa.3, ss.699-712, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 40 Sayı: 3
- Basım Tarihi: 2014
- Dergi Adı: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.699-712
- Anahtar Kelimeler: Variable-order fractional calculus, fractional integrodifferential equation, finite difference method, numerical solution, APPROXIMATE SOLUTION, CONSTANT-ORDER, MODEL
- Ondokuz Mayıs Üniversitesi Adresli: Evet
Özet
In this article, we use a finite difference technique to solve variable - order fractional integro - differential equations (VOFIDEs, for short). In these equations, the variable-order fractional integration(VOFI) and variable-order fractional derivative (VOFD) are described in the Riemann-Liouville's and Caputo's sense,respectively. Numerical experiments, consisting of two examples, are studied. The obtained numerical results reveal that the proposed finite difference technique is very effective and convenient for solving VOFIDEs.