Anukokila, P (2024) Studies over the existence of a certain impulse-based fuzzy integrodiferential equations of the Sobolev type. Studies over the existence of a certain impulse-based fuzzy integrodiferential equations of the Sobolev type. pp. 1-18.

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Abstract

The present investigation employs impulses and a non-local constraint to prove the existence are some various types
of abstract diferential and integrodiferential equations related to the Sobolev type. Semigroup theory, specifcally
variants of constant formula, is utilized to get the analytical results for those equations. Furthermore, fndings using
the Banach fxed point approach were examined using fuzzy numbers with values spanning the En range, which
includes the normal, convex, upper semi-continuous, and compactly supported interval. A description is given for
each situation to illustrate the principle.

Item Type: Article
Additional Information: Mathematics Subject Classifcation 34A07, 34A12, 12H20, 47H20, 34K45
Uncontrolled Keywords: Existence and uniqueness, Fuzzy solution, Neutral integrodiferential equation, Impulsive diferential equation, Fixed point theorem
Divisions: PSG College of Arts and Science > Department of Mathematics
Depositing User: Mr Team Mosys
Date Deposited: 16 Apr 2024 10:00
Last Modified: 24 Apr 2024 07:23
URI: http://ir.psgcas.ac.in/id/eprint/2120

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