Abstract
This paper investigates fractional differential equations using integral transforms, with a particular focus on various generalized fractional derivatives (FDs) in the analysis of (Formula presented.) circuit systems. It introduces a generalized transform based on the Shehu transform (Sh.T) to derive analytical solutions for these electrical circuits. Compared to classical differential equations, the proposed method provides a more accurate representation of electrical circuit behaviour.
| Original language | English |
|---|---|
| Article number | 2583565 |
| Journal | Research in Mathematics |
| Volume | 12 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2025 |
Keywords
- Caputo fractional derivative
- Mittag-Leffler function
- generalized integral transform
- regularized version of Hilfer fractional derivative
- regularized version of Prabhakar derivative