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1. On Time-Fractional Diffusion Equations with Space-Dependent Variable Order.

Author

Kian, Yavar, Soccorsi, Eric, and Yamamoto, Masahiro

Subjects
FRACTIONAL differential equations, MATHEMATICAL variables, MATHEMATICS, FRACTIONAL calculus, CAUCHY problem
Abstract

This paper deals with mathematical problems related to space-dependent anomalous diffusion processes. Namely, we investigate diffusion equations with time-fractional derivatives of space-dependent variable order. We establish that variable-order time-fractional Cauchy problems admit a unique weak solution and prove that the space-dependent variable-order coefficient is uniquely determined by the knowledge of a suitable time sequence of partial initial-boundary maps. [ABSTRACT FROM AUTHOR]

Published
2018
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