A novel study on nonlinear fractional differential equations: general solution

Iranian Journal of Optimization

دوره 14، شماره 4، اسفند 2022

نوع مقاله: Research Paper

نویسندگان

Mousa Ilie^* ؛ Ali Khoshkenar

Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran

چکیده

In the present article, the Abel's technique has been developed to finding a general solution of the modified linear first-order ordinary differential equations in the sense of the truncated M-fractional derivative. By using proposed approach, a general solution of two well-recognized nonlinear first-order ordinary differential equations, Bernoulli and Riccati, in agreement with truncated M-fractional derivative have been obtained. For each equation, some examples are presented for satisfactory and efficiency of the proposed method.

کلیدواژه‌ها

Truncated M-fractional derivative؛ Local M-fractional integral؛ Abel' s technique؛ M-fractional Bernoulli equation؛ M-fractional Riccati equation