Solvability of a Class of Higher-Order Fractional Two-Point Boundary Value Problem | Zendy

Xiangshan Kong | Zendy; Haitao Li | Zendy

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Solvability of a Class of Higher-Order Fractional Two-Point Boundary Value Problem

Author(s) -

Xiangshan Kong,

Haitao Li

Publication year - 2014

Publication title -

chinese journal of mathematics

Language(s) - English

Resource type - Journals

ISSN - 2314-8071

DOI - 10.1155/2014/871908

Subject(s) - mathematics , boundary value problem , class (philosophy) , order (exchange) , fixed point theorem , fractional calculus , value (mathematics) , point (geometry) , function (biology) , property (philosophy) , mathematical analysis , geometry , computer science , philosophy , statistics , finance , epistemology , artificial intelligence , evolutionary biology , economics , biology

This paper investigates the solvability of a class of higher-order fractional two-pointboundary value problem (BVP), and presents several new results. First, Green’s functionof the considered BVP is obtained by using the property of Caputo derivative. Second, basedon Schaefer’s fixed point theorem, the solvability of the considered BVP is studied, anda sufficient condition is presented for the existence of at least one solution. Finally, anillustrative example is given to support the obtained new results

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