Paper Contents
Abstract
This article provides a thorough explanation of Colombeau algebras, a strong mathematical framework intended to overcome the shortcomings of traditional distribution theory, particularly with regard to nonlinear operations. Their origins in generalized function theory are traced, their construction and qualities are examined, and their growing significance in fractional calculus is discussed. Resolving nonlinear partial differential equations, modeling unique phenomena, and contributing to contemporary fractional differential operators are just a few of the many applications and theoretical relevance that are addressed.
Copyright
Copyright © 2025 Komal Sharma. This is an open access article distributed under the Creative Commons Attribution License.
Paper ID:
IJPREMS50500000214
ISSN:
2321-9653
Publisher:
ijprems