An efficient semi-analytical method for solving fractional differential equations via conformable sense with applications in physics and engineering
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conformable fractional derivative, Temimi-Ansari method (TAM), semi-analytical iterative method, fractional differential equations, fractional Fisher’s, fractional Riccati, fractional Painlevé, fractional Bernoulli, fractional LiénardAbstract
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.
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