Journal
FRACTIONAL CALCULUS AND APPLIED ANALYSIS
Volume 19, Issue 6, Pages 1554-1562Publisher
WALTER DE GRUYTER GMBH
DOI: 10.1515/fca-2016-0080
Keywords
fractional heat equation; fractional wave equation; regularity of solution
Funding
- National Natural Science Foundation of China [91430216]
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Time-dependent fractional-derivative problems Dt alpha u+Au= f are considered, where D-t(alpha) t is a Caputo fractional derivative of order a. (0, 1).(1, 2) and A is a classical elliptic operator, and appropriate boundary and initial conditions are applied. The regularity of solutions to this class of problems is discussed, and it is shown that assuming more regularity than is generally true-as many researchers do-places a surprisingly severe restriction on the problem.
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