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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 274))

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Abstract

The development of the spectral theory of the Nabla operator opens the way to a large class of fractional di_usion problems, and some of them will be treated in the next chapter. Indeed, the main aim of this chapter is to show how our theory, for the case of the Nabla operator, reproduces known results.

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Colombo, F., Gantner, J. (2019). The fractional heat equation using quaternionic techniques. In: Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes. Operator Theory: Advances and Applications, vol 274. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-16409-6_9

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