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About Fractional Operators: Behavior and Extension | ||
| Diyala Journal For Pure Science | ||
| Article 1, Volume 7, Issue 4, 2011, Pages 1-15 | ||
| Authors | ||
| Ahmed Ayyoub Yousif; Alauldin Noori Ahmed | ||
| Abstract | ||
| In this paper, we are study some behavior fractional operators solutions, such as existence, uniqueness, stabilities and extended formulas for a dynamic multi-fractional order differential equations. Theorems are stated and proved based on the definitions of Riemann-Liouville fractional integral and Grunwald-Letnikov fractional derivative. Also, a simple numerical approach has been implemented to solve such system. | ||
| Keywords | ||
| Fractional Calculus; Existence and Uniqueness solution; stability | ||
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