Staff Members - Benha University
Study of the Normality and Continuity for the Mixed Integral Equations with Phase-Lag Term
International Journal of Mathematical Analysis • 2017
Publication Information
Authors
M. A. Abdou; M. E. Nasr; M. A. Abdel-Aty
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
Publisher
HIKARI Ltd
Volume
11
Issue
16
Pages
13
publication.type
International
Paper Link
Open Link
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.
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.