Some Applications of the Wright Function in Continuum Physics: A Survey

The Wright function is a generalization of the exponential function and the Bessel functions. Integral relations between the Mittag-Leffler functions and the Wright function are presented. The applications of the Wright function and the Mainardi function to description of diffusion, heat conduction, thermal and diffusive stresses, and nonlocal elasticity in the framework of fractional calculus are discussed.

Automated summary

The article introduces the Wright function as a generalization of the exponential function and the Bessel functions, and presents integral relationships between the Mittag-Leffler functions and the Wright function. The applications of the Wright function and the Mainardi function in describing diffusion, heat conduction, thermal and diffusive stresses, as well as nonlocal elasticity within the framework of fractional calculus are also discussed.