Author:
A. M. A. El-Sayed ,Fatma. M. Gaafar ,R. O. Abd-El-Rahman ,M. M. El-Haddad
Abstract
In this paper, we study the existence of solutions for $q$-functional integral equations in Banach space $C[0, T]$. The existence and uniqueness of solutions for the problems are proved by means of the Banach contraction principle.
Reference22 articles.
1. C. R. Adams, On the linear ordinary q-difference equation, Am. Math. Ser. II, 30, (1929) PP. $195-205$.
2. M. H. Annaby and Z. S. Mansour, q-Fractional Calculus and Equations. Springer, Heidelberg, 2012.
3. T. M. Apostol, Mathematical Analysis, 2nd Edition, Addison-Weasley Publishing Company Inc., (1974).
4. A. Aral, V. Gupta, and R. P. Agarwal, Applications of q-Calculus in Operator Theory, Springer, 2013.
5. G. Bangerezako, An Introduction to $q$-Difference Equations. Preprint, Bujumbura, 2007.