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Continuation and maximal regularity of fractional-order evolution equation
Faculty
Science
Year:
2004
Type of Publication:
Article
Pages:
340-350
Authors:
El-Sayed, AMA, Herzallah, MAE
DOI:
10.1016/j.jmaa.2004.04.027
Journal:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS ACADEMIC PRESS INC ELSEVIER SCIENCE
Volume:
296
Research Area:
Mathematics
ISSN
ISI:000222829700028
Keywords :
evolution equation, fractional order derivative, maximal regularity
Abstract:
The Cauchy problem of the homogeneous fractional-order evolution equation and evolutionary integral equation have been considered in {[}J. Fract. Calc. 7 (1995) 89] and {[}Korean J. Comput. Appl. Math. 9 (2002) 525]. The existence and uniqueness of the solution have been proved and the continuation of the solution and its fractional order derivative has been proved. Here we study the maximal regularity, continuation and some other properties of the Cauchy problem of the non-homogeneous fractional order evolution equation. (C) 2004 Elsevier Inc. All rights reserved.
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