Left Riemann–Liouville Fractional Sobolev Space on Time Scales and Its Application to a Fractional Boundary Value Problem on Time Scales

Left Riemann–Liouville Fractional Sobolev Space on Time Scales and Its Application to a Fractional Boundary Value Problem on Time Scales

First, we show the equivalence of two definitions of the left Riemann–Liouville fractional integral on time scales. Then, we establish and characterize fractional Sobolev space with the help of the notion of left Riemann–Liouville fractional derivative on time scales. At the same time, we define wea...

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Bibliographic Details
Main Authors: Xing Hu, Yongkun Li
Format: Article
Language:English
Published: MDPI AG 2022-05-01
Series:Fractal and Fractional
Subjects:
Riemann–Liouvillederivatives
time scales
left fractional Sobolev’s spaces
boundary value problems
mountain pass theorem
genus properties
Online Access:https://www.mdpi.com/2504-3110/6/5/268

Internet

https://www.mdpi.com/2504-3110/6/5/268

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