Ulam Stability for Fractional Differential Equation in Complex Domain

作者：Ibrahim Rabha W^*

来源：Abstract and Applied Analysis, 2012, 649517.

DOI：10.1155/2012/649517

The present paper deles with a fractional differential equation z(alpha)D(z)(alpha)u(z) + zu%26apos;(z) + (z(2) - a(2))u(z) = Sigma(infinity)(n=0)a(n)z(n+alpha), 1 %26lt; alpha %26lt;= 2, where z is an element of U := {z : vertical bar z vertical bar %26lt; 1} in sense of Srivastava-Owa fractional operators. The existence and uniqueness of holomorphic solutions are established. Ulam stability for the approximation and holomorphic solutions are suggested.

• 出版日期2012