分数阶积分在解某些典型微分方程、积分方程的应用

Application of the Method for Solution of Some Typical Differential Equations and Integral Equations Involving Fractional Calculus

运用分数阶积分及其性质,得到Abel积分方程、一类二阶微分方程的解的表达式,并给出相应具体方程的求解结果.

This paper uses fractional calculus and its property,gets the expression of the solution of Abel integral equations,a kind of second order differential equations,and gives corresponding equation solution.