Measure pseudo almost automorphic solution to second order fractional impulsive neutral differential equation

We discuss the concept of pseudo almost automorphic solution to fractional neutral differential equation with impulses using measure theory. Our principal results are obtained via semigroup theory and the fixed point theorem due to Krasnoselskii and their combination with the properties of measure t...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 8; pp. 8352 - 8366
Main Authors Kavitha, Velusamy, Baleanu, Dumitru, Grayna, Jeyakumar
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
fractional differential equation
impulsive conditions
measure theory
measure-pseudo almost automorphic functions
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ISSN2473-6988
2473-6988
DOI10.3934/math.2021484

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Summary:We discuss the concept of pseudo almost automorphic solution to fractional neutral differential equation with impulses using measure theory. Our principal results are obtained via semigroup theory and the fixed point theorem due to Krasnoselskii and their combination with the properties of measure theory. An example is provided to outline the thought developed on this work.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021484