The solution of the time-fractional diffusion equation by the generalized differential transform method

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PERGAMON-ELSEVIER SCIENCE LTD

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info:eu-repo/semantics/openAccess

Özet

In the present paper, a general recurrence relation for determining the solutions of the time-fractional diffusion equation is obtained with the generalized differential transform method. The obtained relation will help us to solve time-fractional diffusion equations with various external forces and initial conditions. Four illustrative examples are given. (C) 2011 Elsevier Ltd. All rights reserved.

Açıklama

WOS: 000317262100032

Anahtar Kelimeler

Numerical methods, Analytical solution, Time-fractional diffusion equation, Generalized differential transform method, Mittag-Leffler function

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MATHEMATICAL AND COMPUTER MODELLING

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57

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9.Eki

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Onay

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