The solvability of interval-valued Abel integral equations on a time scale with trigonometric representation of parameterized interval analysis

Lai van Phut,Ngo van Hoa

PHYSICA SCRIPTA(2023)

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摘要
In this paper, the concept of the trigonometric representation of parameterized interval analysis is introduced to investigate a theory of the interval-valued Abel integral equation (IAIE) on a time scale. We provide suitable conditions to show that the IAIE on a time scale is solvable. Some simple examples are given to illustrate our main result.
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关键词
q-fractional integral, Abel q-integral equations, interval-valued q-integral equations, fractional calculus on time scale
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