Paper Details
| Title | A Comprehensive Review of Generalized Functions: Theory, Applications and Modern Developments |
|---|---|
| Author | Kajal Singh, Chinta Mani Tiwari |
| Abstract | This paper presents a comprehensive review of generalized func- tions, also known as distributions, which extend the classical no- tion of functions to include singular objects such as the Dirac delta function. Originally formalized by Laurent Schwartz, generalized functions have become fundamental tools in mathematical physics, partial differential equations, and signal processing. This review outlines their theoretical foundation, key properties, significant ap- plications, and discusses modern advancements and open research directions. |
| Keywords | Distribution, Fractional Operator, Generalized function, Fractional Calculus, Dirac delta function |
| Page Number | 29-34 |
| DOI |
View DOI DOI: 10.33804/IJSRI.2021.01.01.https://doi.org/10.5281/zenodo.15667007, |
| Date of Publication | 2024-05-29 |
| Download | Download |