Initial-value problems for linear distributed-order differential equations in Banach spaces

We solve the Cauchy problem for inhomogeneous distributed-order equations in a Banach space with a linear bounded operator in the right-hand side, with respect to the distributed Caputo derivative. First we find the solution by using the unique solvability theorem for the Cauchy problem. Then t...

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Bibliographic Details
Main Authors: Vladimir E. Fedorov, Elizaveta M. Streletskaya
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/2018/176/abstr.html