Existence results for abstract fractional differential equations with nonlocal conditions via resolvent operators

Eduardo Hernández,Donal O’Regan,Krishnan Balachandran

doi:10.1016/j.indag.2012.06.007

Existence results for abstract fractional differential equations with nonlocal conditions via resolvent operators

Eduardo Hernández, Donal O’Regan + Show 1 more

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https://doi.org/10.1016/j.indag.2012.06.007

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Journal: Indagationes Mathematicae	Publication Date: Jul 9, 2012
Citations: 34	License type: publisher-specific-oa

Affiliation: Universidade de Ribeirão Preto, Universidade de São Paulo, National University of Ireland, Bharathiar University

#Nonlocal Conditions #Class Of Fractional Differential Equations + Show 8 more

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Abstract

In our paper [10] we discussed an error in the recent literature on abstract fractional differential equations and we proposed a different approach to treat these type of problems. By noting that the results by Hernández et al. (2010) [10] are not applicable for problems with nonlocal conditions, in this paper we study the existence of mild solutions for a class of abstract fractional differential equations with nonlocal conditions. An application involving a partial differential equation with a fractional temporal derivative and nonlocal conditions is considered.

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