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Study of Fractional Differential Equations Emerging in the Theory of Chemical Graphs: A Robust Approach

Author

Listed:
  • Ali Turab

    (Centre of Excellence for Artificial Intelligence & Data Science, Universiti Malaysia Pahang, Lebuhraya Tun Razak, Gambang, Kuantan 26300, Pahang, Malaysia)

  • Norhayati Rosli

    (Centre for Mathematical Sciences, Universiti Malaysia Pahang, Lebuhraya Tun Razak, Gambang, Kuantan 26300, Pahang, Malaysia)

Abstract

The study of the interconnections between chemical systems is known as chemical graph theory. Through the use of star graphs, a limited group of researchers has examined the space of possible solutions for boundary-value problems. They recognized that for their strategy to function, they needed a core node related to other nodes but not to itself; as a result, they opted to use star graphs. In this sense, the graphs of neopentane will be helpful in extending the scope of our technique. It has the CAS number 463-82-1 and the chemical formula C 5 H 12 , and it is a component of a petrochemical precursor. In order to determine whether or not the suggested boundary-value problems on these graphs have any known solutions, we use the theorems developed by Schaefer and Krasnoselskii on fixed points. In addition, we illustrate our preliminary results with the help of an example that we present.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:22:p:4222-:d:970428
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    References listed on IDEAS

    as
    1. Erdal Karapınar & Andreea Fulga & Maliha Rashid & Lariab Shahid & Hassen Aydi, 2019. "Large Contractions on Quasi-Metric Spaces with an Application to Nonlinear Fractional Differential Equations," Mathematics, MDPI, vol. 7(5), pages 1-11, May.
    2. 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.
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    Cited by:

    1. Daşbaşı, Bahatdin, 2023. "Fractional order bacterial infection model with effects of anti-virulence drug and antibiotic," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).

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