Positive solutions for superlinear Riemann-Liouville fractional boundary-value problems

Positive solutions for superlinear Riemann-Liouville fractional boundary-value problems

Using a perturbation argument, we establish the existence and uniqueness of a positive continuous solution for the following superlinear Riemann-Liouville fractional boundary-value problem $$\displaylines{ D^{\alpha }u( x) -u(x)\varphi (x,u(x))=0,\quad 0<x<1,\cr u(0)=u'(0)=\lim_{x\t...

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Bibliographic Details
Main Authors: Imed Bachar, Habib Maagli, Vicentiu D. Radulescu
Format: Article
Language:English
Published: Texas State University 2017-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Fractional differential equation
positive solution
Green's function
perturbation
Schauder fixed point theorem
Online Access:http://ejde.math.txstate.edu/Volumes/2017/240/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2017/240/abstr.html

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