Titlebook: Unification of Fractional Calculi with Applications; George A. Anastassiou Book 2022 The Editor(s) (if applicable) and The Author(s), unde

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Vectorial Advanced Hilfer-Prabhakar-Hardy Fractional Inequalities,We present a variety of univariate and multivariate left and right side Hardy type fractional inequalities, many of them under convexity, and other also of . type, ., in the setting of generalized Hilfer and Prabhakar fractional Calculi.

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Vectorial Prabhakar Hardy Advanced Fractional Inequalities Under Convexity,We present a detailed great variety of Hardy type fractional inequalities under convexity and . norm in the setting of generalized Prabhakar and Hilfer fractional calculi of left and right integrals and derivatives.

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BOAST

Non Singular Kernel Multiparameter Fractional Differentiation,We introduce here Caputo and Riemann-Liouville type non singular kernel very general multi parameter left and right side fractional derivatives and we prove their continuity.

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Exotic Fractional Integral Inequalities,Here we present a thorough collection of Opial and Hardy type fractional inequalities involving also convexity, based on Luchko’s generalized fractional calculus, and Prabhakar’s partial and mixed of variable degree multivariate fractional integrals.

BOLT

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Conclusion,During the last 50 years fractional calculus due to its wide applications to many applied sciences has become a main trend in mathematics. Its predominant kinds are the old Riemann-Liouville fractional calculus and the newer one of Caputo type.

PHON

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