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March 6, 2026Scientific ReportsOpen Access

Stability analysis of discrete delta fractional models under summation multipoint constraints for robust engineering systems

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Authors

PMPshtiwan Othman MohammedEAEman Al-SarairahDBDumitru Baleanu

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Overview

This analysis demonstrates stability in discrete delta fractional models for engineering systems, indicating resilience under disturbance.

Key Points

  • The aim is to analyze the stability of discrete delta fractional models under summation multipoint constraints.
  • Developed the mathematical foundation using Green's function.
  • Proved existence and uniqueness of solutions under Lipschitz conditions.
  • Investigated stability through Ulam-Hyers-Rassias criteria on perturbed solutions.
  • Demonstrated stability of solutions even with disturbances.
  • Confirmed real-world applicability through tests on a nonlinear system and thermal sensor model.
  • Provided explicit guarantees of solution reliability under varying disturbances.

Cite This Study

Mohammed et al. (2026) studied this question.

synapsesocial.com/papers/69aa6eb1531e4c4a9ff58fb5https://doi.org/10.1038/s41598-026-42701-x
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