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On characterizing of bifurcation and stability analysis for time fractional glycolysis model

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  • Chu, Yu-Ming
  • Khan, M. Saqib
  • Abbas, Mujahid
  • Ali, Shafqat
  • Nazeer, Waqas

Abstract

In this paper, we study the discrete time-fractional glycolysis model using the Caputo fractional derivative. The discrete time-fractional glycolysis model is obtained using El-Sayed and Salman’s method. The existence and uniqueness of this system are proved. The stability and bifurcation analysis of the fixed points of the discrete system is carried out with details. The theoretical results are then complemented with numerical examples.

Suggested Citation

  • Chu, Yu-Ming & Khan, M. Saqib & Abbas, Mujahid & Ali, Shafqat & Nazeer, Waqas, 2022. "On characterizing of bifurcation and stability analysis for time fractional glycolysis model," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    • Handle: RePEc:eee:chsofr:v:165:y:2022:i:p2:s0960077922009833
    DOI: 10.1016/j.chaos.2022.112804
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    1. Scalas, Enrico & Gorenflo, Rudolf & Mainardi, Francesco, 2000. "Fractional calculus and continuous-time finance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 284(1), pages 376-384.
    2. Mainardi, Francesco & Raberto, Marco & Gorenflo, Rudolf & Scalas, Enrico, 2000. "Fractional calculus and continuous-time finance II: the waiting-time distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 287(3), pages 468-481.
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    Cited by:

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