Fractional order disturbance observer based adaptive sliding mode hybrid synchronization of Tuberculosis system
Ayub Khanayubkdu@gmail.comDepartment of MathematicsBasic Science Research CentreImam Mohammad lbn Saud Islamic UniversityRiyadh, 13318, Saudi ArabiaView full profile → , *Neeti GoelCorresponding authorneeti.goel@sgndkc.du.ac.inDepartment of MathematicsSri Guru Nanak Dev Khalsa CollegeUniversity of DelhiDev Nagar, New Delhi, 110005, IndiaView full profile → , Diya Baidyamat22.1302.diya@sgndkc.du.ac.inDepartment of MathematicsSri Guru Nanak Dev Khalsa CollegeUniversity of DelhiDev Nagar, New Delhi, 110005, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Dec 2025
- Published Online:
- 30 Sep 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2662
- Pages:
- 2699–2709
Abstract
This paper explores chaotic behaviour in a fractional-order Tuberculosis model, utilizing Caputo derivatives to capture essential memory and hereditary effects in disease transmission. To address real-world uncertainties and external perturbations, the paper uses a robust fractional-order adaptive sliding mode control strategy within a master-slave synchronization framework. A fractional-order disturbance observer is integrated to estimate unknown bounded disturbances, while hybrid projective synchronization allows for flexible scaling between systems. Validated through MATLAB simulations, the results prove that this fractional approach outperforms integer-order models in accuracy and stability. This framework offers significant potential for advancing disease forecasting, epidemic control, and secure communication systems.
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References
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