Cauchy problem for impulsive fractional differential equations with almost sectorial operators

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dc.contributor.author Jaiswal, Anjali
dc.contributor.author Tyagi, Jagmohan
dc.coverage.spatial Germany
dc.date.accessioned 2023-03-22T14:31:53Z
dc.date.available 2023-03-22T14:31:53Z
dc.date.issued 2023-03
dc.identifier.citation Jaiswal, Anjali; Tyagi, Jagmohan, “Cauchy problem for impulsive fractional differential equations with almost sectorial operators”, Zeitschrift für Analysis und ihre Anwendungen, DOI: 10.4171/zaa/1714, vol. 41, no. 3, pp. 347-370, Mar. 2023.
dc.identifier.issn 0232-2064
dc.identifier.issn 1661-4534
dc.identifier.uri https://doi.org/10.4171/zaa/1714
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/8669
dc.description.abstract We study a class of non-instantaneous impulsive fractional differential equations in a Banach space. We consider the Cauchy problem with Caputo derivative having variable lower limits and almost sectorial operators. We establish the existence of mild solutions in the space of piecewise continuous functions. We employ the properties of semigroup associated with the almost sectorial operator, theory of measure of non-compactness and fixed point theorems.
dc.description.statementofresponsibility by Anjali Jaiswal and Jagmohan Tyagi
dc.format.extent vol. 41, no. 3, pp. 347-370
dc.language.iso en_US
dc.publisher EMS Press
dc.subject Cauchy problem
dc.subject Sectorial operators
dc.subject Banach space
dc.subject Caputo derivative
dc.subject Fixed point theorems
dc.title Cauchy problem for impulsive fractional differential equations with almost sectorial operators
dc.type Journal Paper
dc.relation.journal Zeitschrift fur Analysis und ihre Anwendungen


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