Existence Results for a Coupled System of Nonlinear Fractional Differential Equation with Four-Point Boundary Conditions | Zendy

M. Waleed Gaber | Zendy; M. G. Brikaa | Zendy

Open Access

Existence Results for a Coupled System of Nonlinear Fractional Differential Equation with Four-Point Boundary Conditions

Author(s) -

M. Waleed Gaber,

M. G. Brikaa

Publication year - 2011

Publication title -

isrn mathematical analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-4665

pISSN - 2090-4657

DOI - 10.5402/2011/468346

Subject(s) - fixed point theorem , mathematics , nonlinear system , schauder fixed point theorem , boundary value problem , mathematical analysis , differential equation , point (geometry) , picard–lindelöf theorem , physics , geometry , quantum mechanics

This paper studies a coupled system of nonlinear fractional differential equation with four-point boundary conditions. Applying the Schauder fixed-point theorem, an existence result is proved for the following system: ()=(,(),()), ∈(0,1), ()=(,(),()), ∈(0,1), (0)=(), (1)=(), (0)=(), (1)=(), where ,,,,,,, satisfy certain conditions.

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