Abstract
This paper is devoted to the study of abstract time-fractional equations of the following form: , , , , where , and are closed linear operators on a sequentially complete locally convex space , , is an -valued function, and denotes the Caputo fractional derivative of order (Bazhlekova (2001)). We introduce and systematically analyze various classes of -regularized ()-existence and uniqueness (propagation) families, continuing in such a way the researches raised in (de Laubenfels (1999, 1991), Kostić (Preprint), and Xiao and Liang (2003, 2002). The obtained results are illustrated with several examples.
Citation
Marko Kostić. Cheng-Gang Li. Miao Li. "On a Class of Abstract Time-Fractional Equations on Locally Convex Spaces." Abstr. Appl. Anal. 2012 (SI01) 1 - 41, 2012. https://doi.org/10.1155/2012/131652
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