Existence Results of Mild Solutions for Impulsive Fractional Differential Equations with Almost Sectorial Operators

M C Ranjini

doi:10.1007/978-981-15-8061-1_41

Existence Results of Mild Solutions for Impulsive Fractional Differential Equations with Almost Sectorial Operators

M C Ranjini

https://doi.org/10.1007/978-981-15-8061-1_41

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Publication Date: Dec 11, 2020

Affiliation: Almas Hospital

#Existence Results Of Mild Solutions #Sectorial Operators + Show 8 more

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Abstract

AbstractThis paper is concerned with the existence and uniqueness of mild solutions for a class of fractional impulsive semilinear differential equations using the concepts of almost sectorial operators. The results are established by using Banach contraction principle and Schauder’s fixed point theorem.KeywordsFractional differential equationsImpulsive conditionAlmost sectorial operatorSemigroup of growth \(\alpha \)Mild solution

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