Unbounded solutions to a boundary value problem of fractional order on the half-line

Authors:
Xinwei Su;Shuqin Zhang
Affiliations:
-;-
Venue:
Computers & Mathematics with Applications
Year:
2011

Citing 3
Cited 0

Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)

Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)
On the fractional order m-point boundary value problem in reflexive Banach spaces and weak topologies

Journal of Computational and Applied Mathematics
Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions

Computers & Mathematics with Applications

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Abstract

This paper deals with a boundary value problem of a fractional differential equation with the nonlinear term dependent on a fractional derivative of lower order on the semi-infinite interval. An appropriate compactness criterion is established, such that we can use Schauder's fixed point theorem on an unbounded domain to obtain the existence result for solutions. Moreover, a suitable choice of a Banach space allows the solutions to be unbounded. An example illustrating our main result is also given.