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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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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Abstract 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.
AbstractList 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.
Author Grayna, Jeyakumar
Kavitha, Velusamy
Baleanu, Dumitru
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Cites_doi 10.1007/s40840-015-0206-1
10.1007/978-3-642-14574-2
10.1007/s11868-018-0257-9
10.1016/j.neucom.2014.04.028
10.1007/s12044-015-0235-6
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CorporateAuthor Department of Mathematics, Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore-641114, Tamil Nadu, India
Department of Mathematics, Cankaya University, Ankara, Turkey and Institute of Space Sciences, Magurele-Bucharest, Romania
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Snippet We discuss the concept of pseudo almost automorphic solution to fractional neutral differential equation with impulses using measure theory. Our principal...
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StartPage 8352
SubjectTerms fractional differential equation
impulsive conditions
measure theory
measure-pseudo almost automorphic functions
Title Measure pseudo almost automorphic solution to second order fractional impulsive neutral differential equation
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