Extended Monotonic Results Related to Fractional Derivatives

In this paper, we discuss the monotonous results with fractional derivatives in interval (1,2). We have adopted some ideas of α-order Riemann-Liouville fractional derivative and Caputo fractional derivative in our derivations. Some theoretical results are developed in this context. In addition to this, some numerical examples are included to justify these results. Further, we extend these results for generalized intervals. Mathematics Subject Classification (2010) 26A33 (primary) · 26A48 ·26A42