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Stability and control of neutral fractional systems with state-dependent time delays

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  • Kaliraj, K.
  • Antony, S. John Lourdhu
  • Nisar, Kottakkaran Sooppy
  • Ravichandran, C.

Abstract

This study establishes sufficient conditions for finite-time stability in neutral fractional differential systems with state-dependent delays by employing integral inequalities and the two-parameter Mittag–Leffler function. Ulam–Hyers stability is investigated through Lipschitz-type conditions imposed on the nonlinear components, along with the boundedness of the associated fractional kernel operator. In addition, controllability analysis is carried out for both linear and nonlinear systems’ fixed-point techniques. An illustrative example is presented to validate the theoretical results and to demonstrate the effectiveness and applicability of the proposed approach.

Suggested Citation

  • Kaliraj, K. & Antony, S. John Lourdhu & Nisar, Kottakkaran Sooppy & Ravichandran, C., 2026. "Stability and control of neutral fractional systems with state-dependent time delays," Chaos, Solitons & Fractals, Elsevier, vol. 209(P1).
    • Handle: RePEc:eee:chsofr:v:209:y:2026:i:p1:s0960077926005217
    DOI: 10.1016/j.chaos.2026.118380
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