Novel inequalities for nabla‐α differentiable functions suggest new approaches in fractional calculus on time scales.
This study proves numerous novel Ostrowski‐type inequalities for nabla‐ α differentiable functions by employing the α ‐conformable fractional calculus on time scales. Generalized forms of Grüss and trapezoid‐type inequalities are also obtained for single‐variate functions with bounded second‐order nabla‐ α derivatives. Some examples of obtained inequalities are established by choosing , for h > 0 and for q > 1. Furthermore, the validation of the produced inequalities is shown numerically as well as graphically.
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Khan et al. (2026) studied this question.
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