MMN-4676
Mild solutions for fractional differential equations in Colombeau algebra
Mohamed Chaib; Abdellah Taqbibt; M'hamed Elomari; Said Melliani;Abstract
The objective of this study is to investigate the unique existence of a generalized solution for an abstract Cauchy problem. The initial data for this problem is singular and we utilized a generalized real number. Our primary theorems were established by employing Caputo's fractional derivative. In addition, we conclude the applicability of these results with an illustrative example.
Vol. 26 (2025), No. 1, pp. 137-149