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Dr. Mohamed El-Sayed Ahmed Hassan Nasr :: Publications:

Title:
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:
Full paper Not Available
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.

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