Mathematics

Random walk

Statistics

Fractional calculus

Mathematical analysis

Daniell integral

Philosophy

Political science

Norm (philosophy)

Integral equation

Space (punctuation)

Linguistics

Applied mathematics

Singular integral

Journal of Nonlinear Mathematical Physics

The general fractional calculus becomes popular in continuous time random walk recently. However, the boundedness condition of the general fractional integral is one of the fundamental problems. It wasn’t given yet. In this short communication, the classical norm space is used, and a general boundedness theorem is presented. Finally, various long–tailed waiting time probability density functions are suggested in continuous time random walk since the general fractional integral is well defined.

A Note on Function Space and Boundedness of the General Fractional Integral in Continuous Time Random Walk