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Pathway to Fractional Integrals, Fractional Differential Equations and the Role of H-function

Pathway to Fractional Integrals, Fractional Differential Equations and the Role of H-function

The pathway model for the real scalar variable case is re-explored and its connections to fractional integrals, solutions of fractional differential equations, Tsallis statistics and superstatistics in statistical mechanics, reaction-rate probability integral, Kraetzel transform, and pathway transform are explored. It is shown that the common thread in these connections is …