Regularity of solutions for singular fractional differential equation

2022/02/18 by Lee, Jinsil, Lee, Yong-Hoon
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2202.09015

Abstract

In this work, we study the regularity of positive solutions for nonlinear fractional differential equation with a singular weight. We define the new Banach space and use this space to show the regularity. We also give an example with a singular weight which may not be in L¹.

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