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Existence, Uniqueness, and Stability of Solutions of Systems of Complex Integrodifferential Equations on Complex Planes
Author(s) -
Hewa Selman Faris,
Raad N. Butris
Publication year - 2022
Publication title -
wseas transactions on mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.211
H-Index - 21
eISSN - 2224-2880
pISSN - 1109-2769
DOI - 10.37394/23206.2022.21.14
Subject(s) - uniqueness , class (philosophy) , mathematics , stability (learning theory) , complex system , mathematical analysis , computer science , machine learning , artificial intelligence
In this paper, we investigate the existence, uniqueness, and stability of solutions for a class of systems of non-linear complex Integrodifferential equations on complex planes. Based on the complex Integrodifferential equations, the iterative sequences for approximating the solutions are derived and several theorems about the existence and the forms of entire solutions are established. Finally, numerical results are illustrated from an example to confirm the veracity and applicability of the main problem whose exact solutions are available.

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