Abstract
In this paper, we consider evolution equations in the abstract Hilbert space under the special conditions imposed on the operator at the right-hand side of the equation. We establish the method that allows us to formulate the existence and uniqueness theorem and find a solution in the form of a series on the root vectors of the right-hand side. We consider fractional differential equations of various kinds as an application. Such operators as the Riemann-Liouville fractional differential operator, the Riesz potential, the difference operator have been involved.
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis
Cited by
6 articles.
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