Existence and Numerical Solution of the Volterra Fractional Integral Equations of the Second Kind
Joint Authors
Rusagara, Innocent
Bildik, Necdet
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-19
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Rusagara, Innocent& Bildik, Necdet. 2013. Existence and Numerical Solution of the Volterra Fractional Integral Equations of the Second Kind. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1011386
Modern Language Association (MLA)
Rusagara, Innocent& Bildik, Necdet. Existence and Numerical Solution of the Volterra Fractional Integral Equations of the Second Kind. Mathematical Problems in Engineering No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-1011386
American Medical Association (AMA)
Rusagara, Innocent& Bildik, Necdet. Existence and Numerical Solution of the Volterra Fractional Integral Equations of the Second Kind. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1011386
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1011386