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June 13, 2026MathematicsOpen Access

h-Stability of Nonlinear Hilfer Nabla Fractional Difference Equations

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Authors

MKMarko KostićHKHalis Can KoyuncuoğluJJJagan Mohan Jonnalagadda

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Overview

Randomized trial investigates h-stability in nonlinear Hilfer nabla fractional difference equations, suggesting new stability conditions.

Key Points

  • The aim is to explore the h-stability of nonlinear Hilfer nabla fractional difference equations and establish sufficient conditions for stability.
  • Employs generalized nabla fractional sums and Taylor monomials.
  • Utilizes a comparison-based approach for stability analysis.
  • Derives a variation in parameters formula for perturbed equations.
  • Established new sufficient conditions that guarantee h-stability of the zero solution under growth assumptions on the nonlinear term.
  • Demonstrated that the solution map is differentiable concerning the initial condition.
  • Provided an explicit representation of perturbed solutions conforming to the stability theory.

Cite This Study

Kostić et al. (2026) studied this question.

synapsesocial.com/papers/6a2cf488faef96ed7f056c4ahttps://doi.org/10.3390/math14122101
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