On quadratic integral equation of fractional orders |
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| Authors: | Mohamed Abdalla Darwish |
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| Affiliation: | Department of Mathematics, Faculty of Education, Alexandria University, Damanhour branch, 22511 Damanhour, Egypt The Abdus Salam International Centre for Theoretical Physics, 34100 Trieste, Italy |
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| Abstract: | ![]()
We present an existence theorem for a nonlinear quadratic integral equations of fractional orders, arising in the queuing theory and biology, in the Banach space of real functions defined and continuous on a bounded and closed interval. The concept of measure of noncompactness and a fixed point theorem due to Darbo are the main tool in carrying out our proof. |
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| Keywords: | Quadratic integral equation Monotonic solutions Fractional orders Measure of noncompactness Darbo's fixed point theorem |
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