SOME STABILITY CONCEPTS FOR DARBOUX PROBLEM FOR PARTIAL FRACTIONAL DIFFERENTIAL EQUATIONS ON UNBOUNDED DOMAIN

作者：Abbas Said^*; Benchohra Mouffak

来源：Fixed Point Theory, 2015, 16(1): 3-13.

• Fractional differential equations
• left-sided mixed Riemann-Liouville integral
• Caputo fractional order derivative
• Darboux problem
• Frechet space
• Ulam stability
• fixed point

In the present paper, we investigate some Ulam's type stability concepts for the Darboux problem of partial differential equations of fractional order on unbounded domain. We use a nonlinear alternative of Leray-Schauder type for contraction maps in Frechet spaces and a fractional version of Gronwall's inequality.

• 出版日期2015