Mohamed Jleli, Mohammad Mursaleen, Bessem Samet
Abstract:
The aim of this paper is to study the existence of solutions for a class
of q-integral equations of fractional orders.
The techniques in this work are based on the measure of non-compactness
argument and a generalized version of Darbo's theorem.
An example is presented to illustrate the obtained result.
Submitted October 2, 2015. Published January 8, 2016.
Math Subject Classifications: 31A10, 26A33, 47H08.
Key Words: q-fractional integral; existence; measure of non-compactness
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Mohamed Jleli Department of Mathematics College of Science King Saud University P.O. Box 2455 Riyadh 11451, Saudi Arabia email: jleli@ksu.edu.sa |
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Mohammad Mursaleen Department of Mathematics Aligarh Muslim University Aligarh 202002, India email: mursaleenm@gmail.com |
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Bessem Samet Department of Mathematics College of Science King Saud University, P.O. Box 2455 Riyadh 11451, Saudi Arabia email: bsamet@ksu.edu.sa |
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