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Solution of Fractional Differential Equations Utilizing Symmetric Contraction

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  • Aftab Hussain
  • Huseyin Isik

Abstract

The aim of this paper is to present another family of fractional symmetric α-η-contractions and build up some new results for such contraction in the context of ℱ-metric space. The author derives some results for Suzuki-type contractions and orbitally T-complete and orbitally continuous mappings in ℱ-metric spaces. The inspiration of this paper is to observe the solution of fractional-order differential equation with one of the boundary conditions using fixed-point technique in ℱ-metric space.

Suggested Citation

  • Aftab Hussain & Huseyin Isik, 2021. "Solution of Fractional Differential Equations Utilizing Symmetric Contraction," Journal of Mathematics, Hindawi, vol. 2021, pages 1-17, May.
    • Handle: RePEc:hin:jjmath:5510971
    DOI: 10.1155/2021/5510971
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    Cited by:

    1. Mustafa Mudhesh & Aftab Hussain & Muhammad Arshad & Hamed Alsulami, 2023. "A Contemporary Approach of Integral Khan-Type Multivalued Contractions with Generalized Dynamic Process and an Application," Mathematics, MDPI, vol. 11(20), pages 1-18, October.

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