Monotonic solutions of a perturbed quadratic fractional integral equation |
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| Authors: | Mohamed Abdalla Darwish Sotiris K. Ntouyas |
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| Affiliation: | aDepartment of Mathematics, Faculty of Science, Alexandria University at Damanhour, 22511 Damanhour, Egypt;bDepartment of Mathematics, University of Ioannina, 451 10 Ioannina, Greece |
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| Abstract: | ![]()
We present an existence theorem for monotonic solutions of a perturbed quadratic fractional integral equation in C[0,1]. The concept of a measure of noncompactness and a fixed point theorem due to Darbo are the main tools in carrying out our proof. Finally, we give an example for indicating the natural realizations of our abstract result presented in the paper. |
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| Keywords: | Quadratic integral equation Monotonic solutions Perturbed Measure of noncompactness Darbo’ s fixed point theorem |
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