On generalized Hyers-Ulam stability of admissible functions (Q417183)

Summary: We consider the Hyers-Ulam stability for the following fractional differential equations in sense of Srivastava-Owa fractional operators (derivative and integral) defined in the unit disk: \(D^\beta_z f(z) = G(f(z)\), \(D^\alpha_z f(z)\), \(zf'(z); z)\), \(0 < \alpha < 1 < \beta \leq 2\), in a complex Banach space. Furthermore, a generalization of the admissible functions in complex Banach spaces is imposed, and applications are illustrated.