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On generalized Hyers-Ulam stability of admissible functions. (English) Zbl 1237.39033
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.

##### MSC:
 39B82 Stability, separation, extension, and related topics 30C45 Special classes of univalent and multivalent functions 34A08 Fractional differential equations
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##### References:
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