Recent results reveal the role of fractional calculus and inequalities in soliton solutions and number theory 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.
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Xiao Jun Yang (2025) studied this question.
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