Garding's inequality for elliptic differential operator with infinite number of variables.
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Generalized Fractional Evolution Equation
Da Silva, J. L., Erraoui, M., Ouerdiane, H. (2007)
Fractional Calculus and Applied Analysis
2000 Mathematics Subject Classification: Primary 46F25, 26A33; Secondary: 46G20In this paper we study the generalized Riemann-Liouville (resp. Caputo) time fractional evolution equation in infinite dimensions. We show that the explicit solution is given as the convolution between the initial condition and a generalized function related to the Mittag-Leffler function. The fundamental solution corresponding to the Riemann-Liouville time fractional evolution equation does not admit a probabilistic...
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