Numerical studies for fractional- order delay di{uFB00}erential equations / Nagma Younes Ali Daw Kajaman ; Supervised Laila F. Abdelal , Nasser H. Sweilam

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Nagma Younes Ali Daw Kajaman

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TextLanguage: English Publication details: Cairo : Nagma Younes Ali Daw Kajaman , 2014Description: 89 P. : charts ; 25cmOther title:

دراسات عددية للمعادلات التفاضلية المتأخرة من الرتب الكسرية [Added title page title]

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Dissertation note: Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics Summary: In this thesis, the one-step Adams-Bashforth-Moulton (ABM) predictor-corrector method is introduced to solve the initial value problems (IVPs) of nonlinear fractional delay di{uFB00}erential equations (FDDEs). Moreover, this method is ex- tended to solve the variable-order FDDEs, where the derivative is de{uFB01}ned in the Caputo variable-order fractional sense. Special attention is given to study the error estimate of the proposed method. Numerical test examples are presented to demonstrate utility of the method, one of these examples is the variable- order fractional delay version of the Chen system. All numerical results are obtained in this thesis using MATLAB R2013a.

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Item type	Current library	Home library	Call number	Copy number	Status	Barcode
Thesis	قاعة الرسائل الجامعية - الدور الاول	المكتبة المركزبة الجديدة - جامعة القاهرة	Cai01.12.17.M.Sc.2014.Na.N (Browse shelf(Opens below))		Not for loan	01010110069227000
CD - Rom	مخـــزن الرســائل الجـــامعية - البدروم	المكتبة المركزبة الجديدة - جامعة القاهرة	Cai01.12.17.M.Sc.2014.Na.N (Browse shelf(Opens below))	69227.CD	Not for loan	01020110069227000

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Previous	Cai01.12.17.M.Sc.2014.Mo.V Vaught's conjecture via cylindric algebras /	Cai01.12.17.M.Sc.2014.Mu.N Numerical studies of di{uFB00}erential equations and their applications in financial mathematics /	Cai01.12.17.M.Sc.2014.Mu.N Numerical studies of di{uFB00}erential equations and their applications in financial mathematics /	Cai01.12.17.M.Sc.2014.Na.N Numerical studies for fractional- order delay di{uFB00}erential equations /	Cai01.12.17.M.Sc.2014.Na.N Numerical studies for fractional- order delay di{uFB00}erential equations /	Cai01.12.17.M.Sc.2014.No.C Codes over finite modules /	Cai01.12.17.M.Sc.2014.No.C Codes over finite modules /	Next

Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics

In this thesis, the one-step Adams-Bashforth-Moulton (ABM) predictor-corrector method is introduced to solve the initial value problems (IVPs) of nonlinear fractional delay di{uFB00}erential equations (FDDEs). Moreover, this method is ex- tended to solve the variable-order FDDEs, where the derivative is de{uFB01}ned in the Caputo variable-order fractional sense. Special attention is given to study the error estimate of the proposed method. Numerical test examples are presented to demonstrate utility of the method, one of these examples is the variable- order fractional delay version of the Chen system. All numerical results are obtained in this thesis using MATLAB R2013a.

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