Open AccessUlam Stability for Fractional Differential Equation in Complex Domain
Author(s) -
Rabha W. Ibrahim
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/649517
Subject(s) - mathematics , stability (learning theory) , domain (mathematical analysis) , differential equation , mathematical analysis , computer science , machine learning
The present paper deles with a fractional differential equation zαDzαu(z)+zu'(z)+(z2-a2)u(z)=∑n=0∞anzn+α, 1<α≤2, where z∈U:={z:|z|<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
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