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On Two-Point Boundary Value Problems and Fractional Differential Equations via New Quasi-Contractions

Author

Listed:
  • Maha Noorwali

    (Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Mohammed Shehu Shagari

    (Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria 23401, Nigeria)

Abstract

The aim of this paper is to introduce new forms of quasi-contractions in metric-like spaces and initiate more general conditions for the existence of invariant points for such operators. The proposed notions are then applied to study novel existence criteria for the existence of solutions to two-point boundary value problems in the domains of integer and fractional orders. To attract further research in this direction, important consequences are deduced and discussed to indicate the novelty and generality of our proposed concepts.

Suggested Citation

  • Maha Noorwali & Mohammed Shehu Shagari, 2023. "On Two-Point Boundary Value Problems and Fractional Differential Equations via New Quasi-Contractions," Mathematics, MDPI, vol. 11(11), pages 1-19, May.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:11:p:2477-:d:1157672
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    References listed on IDEAS

    as
    1. Mustafa T. Yaseen & Ali Hasan Ali & Areej A. Al-moneef & Omer Bazighifan & Taher A. Nofal & F. Ghanim & Abdellatif Ben Makhlouf, 2022. "New Results of Fixed-Point Theorems in Complete Metric Spaces," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-5, August.
    2. Chi-Ming Chen & Gholamreza Heidary Joonaghany & Erdal Karapınar & Farshid Khojasteh, 2019. "On Bilateral Contractions," Mathematics, MDPI, vol. 7(6), pages 1-7, June.
    3. Anees, Amir & Dillon, Tharam & Chen, Yi-Ping Phoebe, 2019. "A novel decision strategy for a bilateral energy contract," Applied Energy, Elsevier, vol. 253(C), pages 1-1.
    Full references (including those not matched with items on IDEAS)

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