Preface: Advances in fractionality in mathematical physics

The preface is given to report the recent results on the special calculus operators containing the fractional calculus, general fractional calculus, fractal scaling-law calculus, power-law calculus, conformable calculus, and local fractional calculus. The inequalities for them are considered. The soliton solutions for the PDEs in the real-world problems are solved. We give the interesting results on number theory, elliptic curves, and special functions in mathematical physics.