| publication name | Study of the Normality and Continuity for the Mixed Integral Equations with Phase-Lag Term |
|---|---|
| Authors | M. A. Abdou; M. E. Nasr; M. A. Abdel-Aty |
| year | 2017 |
| keywords | Fredholm-Volterra integral equations, Mixed integral equation, Linear system of Fredholm integral equations, Continuous kernel, Trapezoidal Rule, Phase-Lag |
| journal | International Journal of Mathematical Analysis |
| volume | 11 |
| issue | 16 |
| pages | 13 |
| publisher | HIKARI Ltd |
| Local/International | International |
| Paper Link | https://doi.org/10.12988/ijma.2017.7798 |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
In this paper, the existence and uniqueness solution of the FredholmVolterra integral equations (F-VIEs) are considered in the space L2[0; 1]× Cn[0; T]; 0 ≤ T < 1. Using a numerical technique, F-VIEs lead to a system of linear Fredholm integral equations (SLFIEs). Also, the normality and the continuity of integral operator are discussed. The Trapezoidal Rule is used to get the solution of SLFIEs. Finally, numerical results are discussed and the error estimate is computed.