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On Caputo Type Sequential Fractional Differential Equations

2017
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Advisor: Sonuç Zorlu Oğurlu

Abstract (EN)

The goal of this thesis is to give basic information about fractional calculus, and fractional differential equations of different types and study the existence and uniqueness of certain type of fractional differential equation, namely the Caputo type sequential fractional differential equations. Fixed point theorems due to Banach, Krasnoselskii, and Leray-Schauder alternative criterion is applied to obtain the desired results. The results are well illustrated with the aid of examples. Keywords: sequential fractional derivative, integral boundary conditions, fractional differential equation, fixed point theorems

Author

Dr. Hemn Pirot Hussein

How to Cite

Hemn Pirot Hussein (Master Thesis). On Caputo Type Sequential Fractional Differential Equations, 2017, Eastern Mediterranean University, Department of Mathematics.

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