Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
838108 | Nonlinear Analysis: Real World Applications | 2010 | 23 Pages |
Abstract
We study the existence and uniqueness of a weighted pseudo-almost periodic (mild) solution to the semilinear fractional equation ∂tαu=Au+∂tα−1f(⋅,u), 1<α<21<α<2, where AA is a linear operator of sectorial negative type. This article also deals with the existence of these types of solutions to abstract partial evolution equations.
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Authors
Ravi P. Agarwal, Bruno de Andrade, Claudio Cuevas,