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Analytical Approach to Space- and Time-Fractional Burgers Equations |
| Ahmet Yıldırım1, Syed Tauseef Mohyud-Din2** |
| 1Department of Mathematics, Ege University, 35100 Bornova-Izmir, Turkey 2HITEC University, Taxila Cantt, Pakistan |
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Ahmet Y�, ld�, r� et al 2010 Chin. Phys. Lett. 27 090501 |
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Abstract A scheme is developed to study numerical solution of the space- and time-fractional Burgers equations under initial conditions by the homotopy analysis method. The fractional derivatives are considered in the Caputo sense. The solutions are given in the form of series with easily computable terms. Numerical solutions are calculated for the fractional Burgers equation to show the nature of solution as the fractional derivative parameter is changed.
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| Keywords:
05.40.+j
05.70.Ln
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Received: 07 April 2010
Published: 25 August 2010
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