Analytic and Numeric Solution of Linear Partial Differential Equation of Fractional Order
linear partial differential equation of fractional order, semigroup, linear algebraic system, product nyström method
Abstract
The existence and uniqueness solution of the Cauchy problem are discussed and proved in a Banach space E due to Bielecki method and Picard method depending on the properties we expect a solution to possess. Moreover, some properties concerning the stability of solution are obtained. The product Nyström method is used as a numerical method to obtain a linear system of algebraic equations. Also, many important theorems related to the existence and uniqueness solution of the algebraic system are derived. Finally, an application is given and numerical results are obtained.
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2013-05-06
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