Absolutely fractional differentiable functions: Results, examples and counterexamples

Authors have defined absolutely fractional differentiable functions on a closed bounded interval [a,b] of R. Some significant results and equivalent conditions for the function to be absolutely fractional differentiable on a closed bounded interval [a,b] have been discussed. Several examples of absolutely fractional differentiable functions have been constructed. Counterexamples have also been constructed for some results.