Geodesic
\(Q\)-integral equations of fractional orders
Electronic journal of differential equations, Tome 2016 (2016)
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.
Classification : 31A10, 26A33, 47H08
Keywords: q-fractional integral, existence, measure of non-compactness 
@article{EJDE_2016__2016__a41,
     author = {Jleli,  Mohamed and Mursaleen,  Mohammad and Samet,  Bessem},
     title = {\(Q\)-integral equations of fractional orders},
     journal = {Electronic journal of differential equations},
     year = {2016},
     volume = {2016},
     zbl = {1334.45008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a41/}
}
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AU  - Mursaleen,  Mohammad
AU  - Samet,  Bessem
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JO  - Electronic journal of differential equations
PY  - 2016
VL  - 2016
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%A Mursaleen,  Mohammad
%A Samet,  Bessem
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%J Electronic journal of differential equations
%D 2016
%V 2016
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%G en
%F EJDE_2016__2016__a41
Jleli,  Mohamed; Mursaleen,  Mohammad; Samet,  Bessem. \(Q\)-integral equations of fractional orders. Electronic journal of differential equations, Tome 2016 (2016). http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a41/