Radhakrishnan, B and Anukokila, P (2024) Studies over the existence of a certain impulse-based fuzzy integrodifferential equations of the Sobolev type. Studies over the existence of a certain impulse-based fuzzy integrodifferential equations of the Sobolev type, 17: 39. 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 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 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
Uncontrolled Keywords: Existence and uniqueness, Fuzzy solution, Neutral integrodifferential equation, Impulsive differential equation, Fixed point theorem
Divisions: PSG College of Arts and Science > Department of Mathematics
Depositing User: Dr. B Sivakumar
Date Deposited: 01 Dec 2025 05:34
Last Modified: 01 Dec 2025 05:34
URI: https://ir.psgcas.ac.in/id/eprint/2545

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