Sum operator methods for the existence and uniqueness of solution to infinite-point boundary value problems for fractional differential equations

Wang, Yu-Pin; Sun, Shurong

doi:10.1504/ijdsde.2018.092662

Cited by 1 publication

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“…Assuming that formula 2 has a coupled upper and lower solution , formula 2 of the boundary value problem has a unique positive solution , and the sequences and are defined as follows: If the universal learning machine is the cornerstone of artificial intelligence technology, the universal understanding machine is the key to understand the profound philosophies of Pythagoras, Kant and Godel. Carefully, it may be found that the three milestones from general-purpose computer to general-purpose learning machine and then to general-purpose understanding machine are the three technical bottlenecks that must be crossed to realize artificial intelligence technology [8].…”

Section: Table 1 Properties Of Independent Variablesmentioning

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: Table 1 Properties Of Independent Variablesmentioning

confidence: 99%