Existence of positive solutions of nonlinear fractional differential equations
type: Item
instance of: scholarly article
title: Existence of positive solutions of nonlinear fractional differential equations
zbMATH Open document ID: 1027.34003
DOI: 10.1016/S0022-247X(02)00716-3
author: Varsha Daftardar-Gejji
author: Azizollah Babakhani
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-05-25T00:00:00Z
review text: The authors consider fractional differential equations based on fractional differential operators of Riemann-Liouville type. The equations considered contain a linear multiterm fractional differential operator. The authors give sufficient conditions for the equation to have positive solutions in four theorems (relating to slightly different conditions in each case). In the last part of the paper, they consider also the question of whether the equations have a unique positive solution.
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 34K12
zbMATH DE Number: 1915719
zbMATH Keywords: fractional differential equations
zbMATH Keywords: positive solutions
reviewed by: Neville J. Ford
MaRDI profile type: Publication
cites work: The existence of a positive solution for a nonlinear fractional differential equation
cites work: Positive solutions of higher order ordinary differential equations with general nonlinearities
cites work: On positive solutions of singular nonlinear two-point boundary value problems
cites work: On the existence of positive solutions of quasilinear elliptic boundary value problems
cites work: Q3728703
cites work: Q3141895
cites work: Q4233638
cites work: Q3141902
cites work: On the Structure of Locally Solid Topologies
cites work: Restrictions of Fourier transforms and extension of Fourier sequences
description: scientific article; zbMATH DE number 1915719