Some Qualitative Properties of Fractional order differential Systems

Esmail Syaid Esmail Abu Skhail

dc.contributor.author	Esmail Syaid Esmail Abu Skhail
dc.date.accessioned	21/10/2020
dc.date.accessioned	21/10/2020
dc.date.accessioned	2020-10-22T10:29:57Z
dc.date.available	21/10/2020
dc.date.available	2020-10-22T10:29:57Z
dc.date.issued	2/14/2018
dc.identifier.uri	http://dspace.alazhar.edu.ps/xmlui/handle/123456789/1329
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