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Iterative Approximation of Positive Solutions for Fractional Boundary Value Problem on the Half-line
Journal article   Open access  Peer reviewed

Iterative Approximation of Positive Solutions for Fractional Boundary Value Problem on the Half-line

Mourad Chamekh, Abdeljabbar Ghanmi and Samah Horrigue
Filomat, Vol.32(18), pp.6177-6187
01/01/2018

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, an iterative method is applied to solve some p-Laplacian boundary value problem involving Riemann-Liouville fractional derivative operator. More precisely, we establish the existence of two positive solutions. Moreover, we prove that these solutions are one maximal and the other is minimal. An example is presented to illustrate our main result. Finally, a numerical method to solve this problem is given.
url
https://doi.org/10.2298/FIL1818177CView
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