Abstract
The aim of the study is to present an efficient semi-analytical technique for solving fractional differential equations (FDEs), the conformable Temimi-Ansari method (CTAM). To evaluate the performance of the method, six nonlinear FDEs are investigated: the Riccati differential equation, the Painlevé equation, the Bernoulli differential equation, the Liénard equation, and the time-fractional Fisher’s equation. The accuracy and efficiency of CTAM are assessed through the computation of error norms. To demonstrate the validity and behavior of the obtained solutions, various graphical representations and tables are provided.
| Original language | English |
|---|---|
| Pages (from-to) | 140-158 |
| Number of pages | 19 |
| Journal | Results in Nonlinear Analysis |
| Volume | 8 |
| Issue number | 4 |
| DOIs | |
| State | Published - 14 Jan 2026 |
Keywords
- conformable fractional derivative
- fractional Bernoulli
- fractional differential equations
- fractional Fisher’s
- fractional Liénard
- fractional Painlevé
- fractional Riccati
- semianalytical iterative method
- Temimi-Ansari method (TAM)
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