On Asymptotics of Solutions to Some Linear Differential Equations

Mirzoev, K. A.; Konechnaya, N. N.; Safonova, T. A.; Tagirova, R. N.

doi:10.1007/s10958-019-04451-2

Cited by 1 publication

(1 citation statement)

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“…and others said that, especially in recent decades, fractional calculus has an application background in many fields, which makes it develop more and more rapidly. Due to the mature development of integer order differential equations, the fractional order properties and the existence and multiplicity of solutions discussed by scientific researchers in the initial stage use the method of integer order to deal with related problems [2]. Many researchers have studied the existence and number of solutions of fractional differential equations under different orders and different boundary value conditions, as well as the eigenvalue problem of fractional differential equations.…”

Section: Introductionmentioning

confidence: 99%

Uniqueness of system integration scheme of artificial intelligence technology in fractional differential mathematical equation

Liu

Xiong

Babaker

2022

Applied Mathematics and Nonlinear Sciences

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At present, various branches of mathematics have developed very mature, but they still lack an internal structural correlation. They are like “islands” in the universe. If we can find the universal conversion relationship of the three basic mathematical structures of geometry, arithmetic and logic, it will greatly expand the field of mathematics. The ultimate goal of mathematics in the past is to pursue its preciseness, while the ultimate goal of mathematics in the future is to pursue its unity. Fractional differential equation is a generalization of integer order calculus. It discusses the theory of any non integer order differential and integral equation. The rise of artificial intelligence technology just provides the most powerful laboratory for the unity of mathematics. To explore the mystery of the brain and achieve the ultimate goal of artificial intelligence technology, the key is to make a major breakthrough in basic mathematical research and find a basic theoretical system describing the mutual mapping and transformation of different mathematical paradigms. The unity of mathematics will undoubtedly become the forefront of the development of mathematics in the future, which will be the core of the research on the new generation of intelligent computer and artificial intelligence technology.

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Section: Introductionmentioning

confidence: 99%