TY - JOUR A2 - Jafari, Hossein AU - Atangana, Abdon AU - Bildik, Necdet PY - 2013 DA - 2013/11/20 TI - Existence and Numerical Solution of the Volterra Fractional Integral Equations of the Second Kind SP - 981526 VL - 2013 AB - 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. SN - 1024-123X UR - https://doi.org/10.1155/2013/981526 DO - 10.1155/2013/981526 JF - Mathematical Problems in Engineering PB - Hindawi Publishing Corporation KW - ER -