Electron. J. Diff. Equ., Vol. 2016 (2016), No. 17, pp. 1-14.

q-integral equations of fractional orders

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
Mohammad Mursaleen
Department of Mathematics
Aligarh Muslim University
Aligarh 202002, India
email: mursaleenm@gmail.com
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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