Existence of Solutions to Anti-periodic Boundary Value Problem for Nonlinear Fractional Differential Equations

Anping Chen,Yi Chen

Existence of Solutions to Anti-periodic Boundary Value Problem for Nonlinear Fractional Differential Equations

2011

Anping Chen
Yi Chen

This paper is concerned with the anti-periodic boundary value problem for nonlinear fractional differential equation. By means of the Banach fixed point theorem and Schauder fixed point theorem, some existence results are obtained.

Keywords:

Elliptic boundary value problem
Fixed-point theorem
Mathematical optimization
Mathematical analysis
Peano existence theorem
Kakutani fixed-point theorem
Mathematics
Initial value problem
Picard–Lindelöf theorem
Brouwer fixed-point theorem
Boundary value problem
Banach fixed-point theorem
Schauder fixed point theorem

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