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On asymptotic stable solutions of a quadratic Erdélyi-Kober fractional functional integral equation with linear modification of the arguments

Author

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  • Alyami, Maryam Ahmed
  • Darwish, Mohamed Abdalla

Abstract

We consider the solvability and asymptotic stability of a quadratic Erdélyi-Kober fractional functional integral equation with linear modification of the argument. In the Banach space of functions which are bounded and continuous on R+:=[0,∞), Schauder’s fixed point theorem and the measure of noncompactness in this space are the main tools used to prove our main result.

Suggested Citation

  • Alyami, Maryam Ahmed & Darwish, Mohamed Abdalla, 2020. "On asymptotic stable solutions of a quadratic Erdélyi-Kober fractional functional integral equation with linear modification of the arguments," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    • Handle: RePEc:eee:chsofr:v:131:y:2020:i:c:s0960077919304217
    DOI: 10.1016/j.chaos.2019.109475
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    References listed on IDEAS

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    1. Mohamed Abdalla Darwish & Kishin Sadarangani, 2015. "On a quadratic integral equation with supremum involving Erdélyi-Kober fractional order," Mathematische Nachrichten, Wiley Blackwell, vol. 288(5-6), pages 566-576, April.
    2. Darwish, Mohamed Abdalla, 2016. "On Erdélyi–Kober fractional Urysohn–Volterra quadratic integral equations," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 562-569.
    3. Ismail, G.M. & Abdl-Rahim, H.R. & Abdel-Aty, A. & Kharabsheh, R. & Alharbi, W. & Abdel-Aty, M., 2020. "An analytical solution for fractional oscillator in a resisting medium," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
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