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On -Caputo time fractional diffusion equations: extremum principles, uniqueness and continuity with respect to the initial data
Journal article   Peer reviewed

On -Caputo time fractional diffusion equations: extremum principles, uniqueness and continuity with respect to the initial data

Bessem Samet and Yong Zhou
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, Vol.113(3), pp.2877-2887
01/07/2019
DOI: https://doi.org/10.1007/s13398-019-00666-9

Abstract

Mathematics Multidisciplinary Sciences Physical Sciences Science & Technology Science & Technology - Other Topics
Estimates of the -Caputo fractional derivative of order 0<<1 of a function at its extreme points are obtained; they are used to derive extremum principles for a linear -Caputo time fractional diffusion equation. Next, we prove the uniqueness and the continuity of solutions with respect to the initial data.

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