
Existence of positive solutions for a singular nonlinear semipositone fractional differential equations with parametric dependence
Author(s) -
Om Wanassi Kalthoum,
Faten Toumi
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2104141w
Subject(s) - mathematics , nonlinear system , multiplicity (mathematics) , mathematical analysis , fixed point theorem , parametric statistics , class (philosophy) , boundary value problem , differential equation , statistics , physics , quantum mechanics , artificial intelligence , computer science
We examine the existence and multiplicity of positive solutions for a class of nonlinear semipositone fractional differential equations involving integral boundary conditions. The results are obtained in terms of different intervals of the parameters by means of the Leray-Schauder and Guo-Krasnoselskii fixed point theorems. Examples are included to verify our main results.