Measure Pseudo Almost Automorphic Solution To Second Order Fractional Impulsive Neutral Differential Equation
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Date
2021
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
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Impulse
Top 10%
Influence
Average
Popularity
Top 10%
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.
Description
Keywords
Measure Theory, Measure-Pseudo Almost Automorphic Functions, Fractional Differential Equation, Impulsive Conditions, Economics, Semigroup, Geometry, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Database, Engineering, Differential equation, Point (geometry), fractional differential equation, QA1-939, FOS: Mathematics, measure-pseudo almost automorphic functions, impulsive conditions, Fixed-point theorem, Anomalous Diffusion Modeling and Analysis, Order (exchange), Impulsive Differential Equations, Applied Mathematics, Pure mathematics, Measure (data warehouse), Automorphic form, Automorphic L-function, Computer science, measure theory, Semilinear Differential Equations, Control and Systems Engineering, Modeling and Simulation, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Mathematics, Finance, Almost and pseudo-almost periodic solutions to functional-differential equations, Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions, Integro-differential operators, Functional-differential equations with impulses, Functional-differential equations with fractional derivatives
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Kavitha, Velusamy; Baleanu, Dumitru; Grayna, Jeyakumar (2021). "Measure pseudo almost automorphic solution to second order fractional impulsive neutral differential equation", AIMS Mathematics, Vol. 6, No. 8, pp. 8352-8366.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
9
Source
AIMS Mathematics
Volume
6
Issue
8
Start Page
8352
End Page
8366
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Citations
Scopus : 15
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Mendeley Readers : 1
SCOPUS™ Citations
15
checked on Feb 27, 2026
Web of Science™ Citations
8
checked on Feb 27, 2026
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