Employing of Some Basic Theory for Class of Fractional Differential Equations

Advances in Difference Equations

Dumitru Baleanu¹  Azizollah Babakhani² 

[1] Department of Mathematics and Computer Science, Cankaya University, Ankara, Turkey;Faculty of Basic Science, Babol University of Technology, Babol, Iran

关键词: Fractional Order;    Fractional Derivative;    Global Existence;    Fractional Differential Equation;    Initial Value Problem;   

DOI  :  10.1155/2011/296353

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Basic theory on a class of initial value problem of some fractional differential equation involving Riemann-Liouville differential operators is discussed by employing the classical approach from the work of Lakshmikantham and A. S. Vatsala (2008). The theory of inequalities, local existence, extremal solutions, comparison result and global existence of solutions are considered. Our work employed recent literature from the work of (Lakshmikantham and A. S. Vatsala, (2008)).

【 授权许可】

CC BY