Analytical Solutions of Riccati Fractional Equation with Coefficients Satisfying Differential Conditions with Arbitrary Function

Journal of Mathematics and Statistics

Jaber, Khaled K.¹ 

关键词: Fractional Riccati Equation;    Differential Conditions;    Exact Solutions;   

DOI  :  10.3844/jmssp.2017.361.365

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

New exact solutions of the Fractional Riccati Differential equation are presented. Exact solutions are obtained in cases that the coefficient functions and an arbitrary function satisfy some differential conditions. In view of the conditions imposed on Riccati equation's coefficients we define and formulate the coefficients of the Riccati equation to obtain the differential cases, for each case the general solution is presented. The results obtained are useful and confirm the simplicity of the conformable definition of fractional derivative.

【 授权许可】

CC BY