Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/42023
Title: Existence of a unique positive solution for a singular fractional boundary value problem
Authors: Karimov, E. T.
Sadarangani, K. 
UNESCO Clasification: 12 Matemáticas
Keywords: Nonlinear fractional differential equations
Singular boundary value problem
Positive solution
Issue Date: 2018
Journal: Carpathian Journal of Mathematics 
Abstract: In the present work, we discuss the existence of a unique positive solution of a boundary value problem for a nonlinear fractional order equation with singularity. Precisely, order of equation D-0+(alpha) u(t) = f(t, u(t)) belongs to (3, 4] and f has a singularity at t = 0 and as a boundary conditions we use u(0) = u(1) = u'(0) - u'(1) - 0. Using a fixed point theorem, we prove the existence of unique positive solution of the considered problem.
URI: http://hdl.handle.net/10553/42023
ISSN: 1584-2851
DOI: 10.1155/2011/165641
Source: Carpathian Journal of Mathematics [ISSN 1584-2851], v. 34 (1), p. 57-64
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