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Coupled Fixed Point Results in Banach Spaces with Applications

Author

Listed:
  • Mian Bahadur Zada

    (Department of Mathematics, University of Malakand, Chakdara 18800, Pakistan)

  • Muhammad Sarwar

    (Department of Mathematics, University of Malakand, Chakdara 18800, Pakistan)

  • Thabet Abdeljawad

    (Department Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia
    Department of Medical Research, China Medical University, Taichung 40402, Taiwan
    Department of Computer Science and Information Engineering, Asia University, Taichung 41354, Taiwan)

  • Aiman Mukheimer

    (Department Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia)

Abstract

The aim of this work is to discuss the existence of solutions to the system of fractional variable order hybrid differential equations. For this reason, we establish coupled fixed point results in Banach spaces.

Suggested Citation

  • Mian Bahadur Zada & Muhammad Sarwar & Thabet Abdeljawad & Aiman Mukheimer, 2021. "Coupled Fixed Point Results in Banach Spaces with Applications," Mathematics, MDPI, vol. 9(18), pages 1-12, September.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:18:p:2283-:d:636969
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    References listed on IDEAS

    as
    1. Sun, HongGuang & Chen, Wen & Chen, YangQuan, 2009. "Variable-order fractional differential operators in anomalous diffusion modeling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(21), pages 4586-4592.
    2. Lokenath Debnath, 2003. "Recent applications of fractional calculus to science and engineering," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-30, January.
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    Cited by:

    1. N. Seshagiri Rao & Zoran D. Mitrović & Dania Santina & Nabil Mlaiki, 2023. "Fixed Point Theorems of Almost Generalized Contractive Mappings in b -Metric Spaces and an Application to Integral Equation," Mathematics, MDPI, vol. 11(11), pages 1-19, June.
    2. Irshad Ayoob & Ng Zhen Chuan & Nabil Mlaiki, 2023. "Double-Composed Metric Spaces," Mathematics, MDPI, vol. 11(8), pages 1-12, April.

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