On Hilfer-Type Fractional Impulsive Differential Equations

On Hilfer-Type Fractional Impulsive Differential Equations

Using the Schauder fixed point theorem, we prove the existence of impulsive fractional differential equations using Hilfer fractional derivative and nearly sectorial operators in this paper. We’ve gone over the two scenarios where the related semigroup is compact and noncompact for this purpose. We...

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Bibliographic Details
Main Authors: Chanisara Metpattarahiran, Kulandhaivel Karthikeyan, Panjaiyan Karthikeyann, Thanin Sitthiwirattham
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2022/7803065
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Summary:Using the Schauder fixed point theorem, we prove the existence of impulsive fractional differential equations using Hilfer fractional derivative and nearly sectorial operators in this paper. We’ve gone over the two scenarios where the related semigroup is compact and noncompact for this purpose. We also go over an example to back up the main points.
ISSN:1687-9651

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