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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
Positive solutions for Dirichlet problems of singular nonlinear fractional differential equations
Journal of Mathematical Analysis and Applications, Volume 371, No. 1, Year 2010
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Description
In this paper, we investigate the existence of positive solutions for the singular fractional boundary value problem: Dαu(t)+f(t,u(t), Dμu(t))=0, u(0)=u(1)=0, where 1<α<2, 0<μ≤α-1, Dα is the standard Riemann-Liouville fractional derivative, f is a positive Carathéodory function and f(t,x,y) is singular at x=0. By means of a fixed point theorem on a cone, the existence of positive solutions is obtained. The proofs are based on regularization and sequential techniques. © 2010 Elsevier Inc.
Authors & Co-Authors
Agarwal, Ravi P.
United States, Melbourne
Florida Institute of Technology
Saudi Arabia, Dhahran
King Fahd University of Petroleum and Minerals
O'Regan, Donal
Ireland, Galway
University of Galway
Staněk, Svatoslav
Czech Republic, Olomouc
Univerzita Palackého V Olomouci
Statistics
Citations: 279
Authors: 3
Affiliations: 4
Identifiers
Doi:
10.1016/j.jmaa.2010.04.034
ISSN:
0022247X
e-ISSN:
10960813