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2013 Time-Space Fractional Heat Equation in the Unit Disk
Rabha W. Ibrahim, Hamid A. Jalab
Abstr. Appl. Anal. 2013: 1-7 (2013). DOI: 10.1155/2013/364042


We will study a maximal solution of the time-space fractional heat equation in complex domain. The fractional time is taken in the sense of the Riemann-Liouville operator, while the fractional space is assumed in the Srivastava-Owa operator. Here we employ some properties of the univalent functions in the unit disk to determine the upper bound of this solution. The maximal solution is illustrated in terms of the generalized hypergeometric functions.


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Rabha W. Ibrahim. Hamid A. Jalab. "Time-Space Fractional Heat Equation in the Unit Disk." Abstr. Appl. Anal. 2013 1 - 7, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1291.35427
MathSciNet: MR3035315
Digital Object Identifier: 10.1155/2013/364042

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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