A Novel Technique for Fractional Bagley-Torvik Equation


Sakar M. G. , Saldır O. , AKGÜL A.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, cilt.89, ss.539-545, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 89 Konu: 3
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s40010-018-0488-4
  • Dergi Adı: PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES
  • Sayfa Sayıları: ss.539-545

Özet

In this research, numerical solution of boundary value problem of fractional Bagley-Torvik equation is given in the reproducing kernel space. The central point of this approach is to set up a new reproducing kernel Hilbert space (RKHS) that satisfies the boundary conditions. Predicated on the properties of the RKHS, a new approach is applied to obtain precise numerical approximation. The results shows that a new approach is very effective and convenient for large interval.