Latest Advancements of fractional calculus with non-singular kernel to real world applications

There is no debate that fractional calculus performs significant roles in modeling real-world phenomena due to their widespread usage in many fields such as physics, engineering, control theory, complex systems, image processing, economics, fluid dynamics, a theory of electrical circuits, biology, statistics, etc. Although fractional calculus is on the brink of history, several literature remains a hypothesis due to the lack of suitable mathematical research that could incorporate great structures, ranging from the small body to larger, random to discrete. The power-law kernel does not explain processes such as exhaustion and crossover activity observed in physical-world situations. More particularly, many differential operators have been proposed with a non-singular kernel that could naturally occur in many physical problems.

Fractional calculus panels also figure out that there are many other possible uses for the fractional derivatives, as well as for the fractional differential equations.

This special season tends to give a forum for scholars and professionals to convey their new thoughts. We welcome original research manuscripts to encourage interest of fractional calculus in real-life phenomena.

Our specifics of consideration are listed below, but not restricted to:

1) New analytical and numerical methods and simulations
2) Computational methods and theories
3) Stochastic fractional-order models
4) Analysis, Modeling of fractional order problems in:
Mechanics
Biology
Physics
Control theory
Statistics
Engineering


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