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 Some Qualitative Properties of Fractional order differential Systems

Show simple item record Esmail Syaid Esmail Abu Skhail 21/10/2020 21/10/2020 2020-10-22T10:29:57Z 21/10/2020 2020-10-22T10:29:57Z 2/14/2018
dc.description.abstract AbstractThis thesis studies some qualitative properties of solutions for specific nonlinear fractional differential systems of order ??(1,2). The fractional derivatives appeared in the modeled systems are with respect to Caputo, and Riemann-Liouville.In chapter one, we recall some important theorems and results in fractional calculus, functional analysis and stability theorems.In chapter two, we obtain the first properties in this thesis which are existence and uniqueness of the solution using Banach, Schauder, Schafaer fixed point theorems. In chapter three, we study other properties of stability such as classical stability, asymptotically stability, Mittag-Leffler stability, generalized Mittag-Leffler stability, Lipchitz stability, and comparison results of stability.In chapter four, we closed this thesis by some illustrative examples of obtained results.Keywords: Fractional Calculus; Fixed point theorems; Existence and Uniqueness; Stability. en_US
dc.language.iso en_US en_US
dc.title  Some Qualitative Properties of Fractional order differential Systems en_US
dc.type Thesis en_US

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