A novel study on nonlinear fractional differential equations: general solution
Subject Areas : Mathematical Engineering
موسی ایلی
1
(گروه ریاضی، واحد رشت، دانشگاه آزاد اسلامی، رشت، ایران)
علی خوش کنار
2
(گروه ریاضی، واحد رشت، دانشگاه آزاد اسلامی، رشت، ایران)
Keywords: Truncated M-fractional derivative, Local M-fractional integral, Abel' s technique, M-fractional Bernoulli equation, M-fractional Riccati equation,
Abstract :
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.