THEORY OF FRACTIONAL DIFFERENTIAL INEQUALITIES AND APPLICATIONS

Abstract

ABSTRACT. In this paper, we develop the theory of fractional dierential inequalities involving Riemann-Loiuville dierential operators of order 0 < q < 1, use it for the existence of extremal solutions and global existence. Necessary tools are discussed and the comparison principle is proved which will be useful for further study of qualitative behavior of solutions.