Studies over the existence of a certain impulse-based fuzzy integrodifferential equations of the Sobolev type

Autor:	B. Radhakrishnan, M. Nagarajan, P. Anukokila, P. Shanmugasundram
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Existence and uniqueness Fuzzy solution Neutral integrodifferential equation Impulsive differential equation Fixed point theorem Medicine Biology (General) QH301-705.5 Science (General) Q1-390
Zdroj:	BMC Research Notes, Vol 17, Iss 1, Pp 1-18 (2024)
Druh dokumentu:	article
ISSN:	1756-0500
DOI:	10.1186/s13104-023-06638-y
Popis:	Abstract The present investigation employs impulses and a non-local constraint to prove the existence are some various types of abstract differential and integrodifferential equations related to the Sobolev type. Semigroup theory, specifically variants of constant formula, is utilized to get the analytical results for those equations. Furthermore, findings using the Banach fixed point approach were examined using fuzzy numbers with values spanning the $$\mathscr {E}_n$$ E n range, which includes the normal, convex, upper semi-continuous, and compactly supported interval. A description is given for each situation to illustrate the principle.
Databáze:	Directory of Open Access Journals
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