Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
468392 | Computers & Mathematics with Applications | 2012 | 9 Pages |
Abstract
Our study in this paper concerns the infinite systems of nonlinear integral equations of Volterra–Stieltjes type. We show that some assumptions imposed on terms of the mentioned systems guarantee the solvability of those systems in the space C(I,c0)C(I,c0) with I=[0,1]I=[0,1] and c0c0 being the classical sequence space. As a particular and very important case of the investigated systems of nonlinear Volterra–Stieltjes integral equations we obtain infinite systems of nonlinear integral equations of fractional orders. Thus, the approach applied in the paper enables us to obtain rather general results concerning the existence of solutions of infinite systems of nonlinear fractional integral equations.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Józef Banaś, Beata Rzepka,