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Fractional order differential equations on an unbounded domain

2009; Elsevier BV; Volume: 72; Issue: 2 Linguagem: Inglês

10.1016/j.na.2009.06.106

1873-5215

A. Arara, Mouffak Benchohra, Naima Hamidi, Juan J. Nieto,

Differential Equations and Numerical Methods

We are concerned with the existence of bounded solutions of a boundary value problem on an unbounded domain for differential equations involving the Caputo fractional derivative. Our results are based on a fixed point theorem of Schauder combined with the diagonalization method.