Open AccessExistence of positive solutions of Hadamard fractional defferential equations with integral boundary conditions
Author(s) -
Amel Berhail,
Nora Tabouche
Publication year - 2022
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.44099
Subject(s) - hadamard transform , mathematics , fixed point theorem , fractional calculus , mathematical analysis , hadamard three lines theorem , boundary value problem , function (biology) , integral equation , hadamard product , evolutionary biology , biology
In this paper, We study the existence of positive solutions for Hadamard fractional differential equations with integral conditions. We employ Avery-Peterson fixed point theorem and properties of Green's function to show the existence of positive solutions of our problem. Furthermore, we present an example to illustrate our main result.