THREE POSITIVE SOLUTIONS FOR BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVE | Zendy

Chunfang Shen | Zendy; Hui Zhou | Zendy; Liu Yang | Zendy

Open Access

THREE POSITIVE SOLUTIONS FOR BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVE

Author(s) -

Chunfang Shen,

Hui Zhou,

Liu Yang

Publication year - 2018

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2018.1227

Subject(s) - mathematics , boundary value problem , mathematical analysis , fractional calculus , nonlinear system , derivative (finance) , differential equation , boundary values , free boundary problem , physics , quantum mechanics , financial economics , economics

In this paper, by using the Avery-Peterson fixed point theorem, we establish the existence result of at least three positive solutions of boundary value problem of nonlinear differential equation with Riemann-Liouville’s fractional order derivative. An example illustrating our main result is given. Our results complements and extends previous work in the area of boundary value problems of nonlinear fractional differential equations.

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