Well-posedness, regularity, and asymptotic behavior of continuous and discrete solutions of linear fractional integro-differential equations with time-dependent order

We study the well-posedness of abstract time evolution fractional integro-differential equations of variable order $u(t)=u_0 + \partial^{-\alpha(t)}Au(t)+f(t)$. Also we study the asymptotic behavior as $t\to +\infty$, and the regularity of solutions. Moreover, we present the asymptotic behavi...

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Bibliographic Details
Main Authors: Eduardo Cuesta, Rodrigo Ponce
Format: Article
Language:English
Published: Texas State University 2018-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2018/173/abstr.html