AI Article Synopsis
- The study explores the presence of various types of abstract differential and integrodifferential equations linked to Sobolev equations using impulses and a non-local constraint.
- It applies semigroup theory, particularly constant formulas, to derive analytical results for these equations.
- The research also examines outcomes through the Banach fixed point method using fuzzy numbers, detailing different scenarios to clarify the concepts involved.
Article 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 [Formula: see text] range, which includes the normal, convex, upper semi-continuous, and compactly supported interval. A description is given for each situation to illustrate the principle.
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Source |
|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC10823640 | PMC |
| http://dx.doi.org/10.1186/s13104-023-06638-y | DOI Listing |
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