Existence results for a class of nonlinear singular $ p $-Laplacian Hadamard fractional differential equations

• DOI: 10.3934/era.2024045
• Publication Date: 2024-01-16T10:57:02Z
• Authors: Limin Guo; Weihua Wang; Cheng Li; Jingbo Zhao; Dandan Min
• Keywords: Fixed-point index; Sequence (biology)

<abstract><p>Based on properties of Green's function and the some conditions $ f(t, u) $, we found a minimal maximal positive solution by method sequence approximation. Moreover, based fixed point index theorem, existence multiple solutions for singular p $-Laplacian fractional differential equation with infinite-point boundary was obtained and, at last, an example given to demonstrate validity our main results.</p></abstract>