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A Solution for Volterra Fractional Integral Equations by Hybrid Contractions

Author

Listed:
  • Badr Alqahtani

    (Department of Mathematics, King Saud University, Riyadh 11451, Saudi Arabia)

  • Hassen Aydi

    (Institut Supérieur d’Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, Tunisia
    China Medical University Hospital, China Medical University, Taichung 40402, Taiwan)

  • Erdal Karapınar

    (China Medical University Hospital, China Medical University, Taichung 40402, Taiwan)

  • Vladimir Rakočević

    (Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia)

Abstract

In this manuscript, we propose a solution for Volterra type fractional integral equations by using a hybrid type contraction that unifies both nonlinear and linear type inequalities in the context of metric spaces. Besides this main goal, we also aim to combine and merge several existing fixed point theorems that were formulated by linear and nonlinear contractions.

Suggested Citation

  • Badr Alqahtani & Hassen Aydi & Erdal Karapınar & Vladimir Rakočević, 2019. "A Solution for Volterra Fractional Integral Equations by Hybrid Contractions," Mathematics, MDPI, vol. 7(8), pages 1-10, August.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:8:p:694-:d:254046
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    Citations

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    Cited by:

    1. Shahram Rezapour & Chernet Tuge Deressa & Azhar Hussain & Sina Etemad & Reny George & Bashir Ahmad, 2022. "A Theoretical Analysis of a Fractional Multi-Dimensional System of Boundary Value Problems on the Methylpropane Graph via Fixed Point Technique," Mathematics, MDPI, vol. 10(4), pages 1-26, February.
    2. Ali Turab & Norhayati Rosli, 2022. "Study of Fractional Differential Equations Emerging in the Theory of Chemical Graphs: A Robust Approach," Mathematics, MDPI, vol. 10(22), pages 1-16, November.

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