Existence results for a class of nonlinear singular $ p $-Laplacian Hadamard fractional differential equations-Reference-Cited by-同舟云学术

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

Published:2024 Issue:2 Volume:32 Page:928-944
ISSN:2688-1594
Container-title:Electronic Research Archive
language:
Short-container-title:era

Author:

Guo Limin¹,Wang Weihua²,Li Cheng³⁴,Zhao Jingbo³,Min Dandan⁵

Affiliation:

1. School of Science, Changzhou Institute of Technology, Changzhou 213002, China

2. School of Computer Science and Information Engineering, Changzhou Institute of Technology, Changzhou 213002, China

3. School of Automotive Engineering, Changzhou Institute of Technology, Changzhou 213002, China

4. Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 611756, China

5. College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China

Abstract

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

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference20 articles.

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2. L. Guo, H. Liu, C. Li, J. Zhao, J. Xu, Existence of positive solutions for singular p-Laplacian hadamard fractional differential equations with the derivative term contained in the nonlinear term, Nonlinear Anal. Modell. Control, 28 (2023), 491–515. https://doi.org/10.15388/namc.2023.28.31728

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