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Adomain Decomposition Method for Solving Integro-Differentional Equations of Fractional orders | ||
| journal of the college of basic education | ||
| Article 1, Volume 19, Issue 77, 2013, Pages 1-16 | ||
| Author | ||
| Ahmed najim Abdullah College of science Al- Mathematic Department - Mustansryah University | ||
| Abstract | ||
| Abstract : In this paper, we will study a modified Integro-Differential Equations Of Fractional Order of the form : where the fractional order of differentiation and integration are different from each other, in which the Adomain decomposition method have been used to solve such type of problems for linear and non linear and cases, where such type of problems are so difficult to solve using other methods. 1. Introduction : Fractional calculus are old as classical calculus and they have been successfully applied to many fields of applied mathematics, such as viscoelastic materials, signal processing, control quantum mechanics, metrology, finance, life sciences (see [8]and[6]). The use of fractional order differential and integral operators in mathematical models has become increasingly wide spread in recent years (see [4] and [8]). Several forms of fractional integro-differential equations have been proposed in standard models, and there has been significant interest in developing numerical schemes for their solution (see [6] and[7]). However, much of the work published up to date has been concerned with linear single term equations or of these, equations of order less than unity or of these equations has a fractional derivatives only have been investigated(see[5][4]). In this paper ,an improved integro-differential equations will be considered, in which fractional order of derivative and integration are considered of different orders, and Adomain decomposition considered to solve such equations. | ||
| Keywords | ||
| Adomain Decomposition Method for Solving Integro; Differentional Equations of Fractional orders | ||
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