In this article, we present an active control methodology for controlling the chaotic behavior of a fractional order version of Rossler system. The main feature of the designed controller is its simplicity for practical ...

Dual-mode (2 + 1)-dimensional Kadomtsev-Petviashvili (DMKP) equation is a new model which represents the spread of two simultaneously directional waves due to the involved term " utt (x, y, t)" in its equation. We present ...

Fractional derivatives with three parameter generalized Mittag-Leffler kernels and their properties are studied. The corresponding integral operators are obtained with the help of Laplace transforms. The action of the ...

In this work, we study the diabetes model and its complications with the Caputo-Fabrizio fractional derivative. A deterministic mathematical model pertaining to the fractional derivative of the diabetes mellitus is discussed. ...

We establish analogues of the mean value theorem and Taylor's theorem for fractional differential operators defined using a Mittag-Leffler kernel. We formulate a new model for the fractional Boussinesq equation by using ...

In this paper, we derive some sufficient conditions which ensure the existence and uniqueness of a solution for a class of nonlinear three point boundary value problems of fractional order implicit differential equations ...