In this paper, we investigate a (k,Υ) fractional quadratic integral equation in the Banach space of real-valued continuous functions on 0,1. By using a measure of noncompactness associated with monotonicity and Darbo’s fixed point theorem, we provide sufficient conditions for the existence of at least one monotonic solution and analyze its stability. Finally, an illustrative example is presented to demonstrate the theoretical results, including several particular cases.
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El-Malty et al. (Mon,) studied this question.
www.synapsesocial.com/papers/69df2b85e4eeef8a2a6b07f1 — DOI: https://doi.org/10.3390/fractalfract10040256
Shahenda S. El-Malty
Mahmoud Mohamed El-Borai
Wagdy G. El-Sayed
Fractal and Fractional
Alexandria University
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