On non-autonomous abstract nonlinear fractional differential equations

Michelle Pierri; Donal O’Regan

doi:10.1080/00036811.2014.905679

On non-autonomous abstract nonlinear fractional differential equations

Michelle Pierri, Donal O’Regan

Mathematics

University of São Paulo

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

13 Citations (Scopus)

Abstract

In this paper, we study the existence of solutions for a class of abstract fractional non-autonomous differential equations with applications to nonlinear partial differential equations with fractional temporal derivatives. Some examples are presented.

Original language	English
Pages (from-to)	879-890
Number of pages	12
Journal	Applicable Analysis
Volume	94
Issue number	5
DOIs	https://doi.org/10.1080/00036811.2014.905679
Publication status	Published - 4 May 2015

Keywords

abstract Cauchy problem
fractional differential equation
resolvent operator

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Pierri, M,O'Regan, D

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10.1080/00036811.2014.905679

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abstract = "In this paper, we study the existence of solutions for a class of abstract fractional non-autonomous differential equations with applications to nonlinear partial differential equations with fractional temporal derivatives. Some examples are presented.",

keywords = "abstract Cauchy problem, fractional differential equation, resolvent operator",

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AB - In this paper, we study the existence of solutions for a class of abstract fractional non-autonomous differential equations with applications to nonlinear partial differential equations with fractional temporal derivatives. Some examples are presented.

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KW - resolvent operator

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On non-autonomous abstract nonlinear fractional differential equations

Abstract

Keywords

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