APPLICATION OF GAMMA FUNCTIONS FOR SOLVING ORDINARY DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER

Аннотация

Fractional-order equations play an important role in modeling processes that cannot be described by standard integer-order differential equations. They are widely used in physics, engineering, biology, and economics [1-2]. One approach to solving such equations is to use the Gamma function, which makes it possible to solve fractional differential equations efficiently. The article discusses the theoretical foundations of the use of Gamma functions for solving fractional equations, as well as examples of practical use of this method.