A fractional operator algorithm method for construction of solutions of fractional order differential equations

作者：Shinaliyev Kanat M^*; Turmetov Batirkhan Kh; Umarov Sabir R

来源：Journal of Fractional Calculus and Applied Analysis, 2012, 15(2): 267-281.

DOI：10.2478/s13540-012-0020-5

• operator method
• normed system
• operator of fractional differentiation and integration
• fractional order differential equation

In this paper a new method of construction of a solution for a wide class of fractional order differential equations is presented. This method is a generalization of the method of operator algorithms to fractional order differential equations. Along with this, new types of special functions are introduced and some of their properties are studied.

• 出版日期2012-6