Time-Space Fractional Heat Equation in the Unit Disk

Rabha W. Ibrahim and Hamid A. Jalab

Abstract and Applied Analysis, 2013, vol. 2013, 1-7

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:364042

DOI: 10.1155/2013/364042

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