Existence and numerical solution of the Volterra fractional integral equations of the second kind

Atangana A., Bildik N.

Mathematical Problems in Engineering, cilt.2013, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2013
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1155/2013/981526
  • Dergi Adı: Mathematical Problems in Engineering
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

This work presents the possible generalization of the Volterra integral equation second kind to the concept of fractional integral. Using the Picard method, we present the existence and the uniqueness of the solution of the generalized integral equation. The numerical solution is obtained via the Simpson 3/8 rule method. The convergence of this scheme is presented together with numerical results. © 2013 Abdon Atangana and Necdet Bildik.