Positive solutions of higher order fractional integral boundary value problem with a parameter | Zendy

Xinan Hao | Zendy; Luyao Zhang | Zendy; Lishan Liu | Zendy

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Positive solutions of higher order fractional integral boundary value problem with a parameter

Author(s) -

Xinan Hao,

Luyao Zhang,

Lishan Liu

Publication year - 2019

Publication title -

nonlinear analysis modelling and control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.734

H-Index - 32

eISSN - 2335-8963

pISSN - 1392-5113

DOI - 10.15388/na.2019.2.4

Subject(s) - mathematics , fixed point theorem , boundary value problem , mathematical analysis , order (exchange) , nonlinear system , fractional calculus , value (mathematics) , physics , statistics , finance , quantum mechanics , economics

In this paper, we study a higher-order fractional differential equation with integral boundary conditions and a parameter. Under different conditions of nonlinearity, existence and nonexistence results for positive solutions are derived in terms of different intervals of parameter. Our approach relies on the Guo–Krasnoselskii fixed point theorem on cones.

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