In this work, we present a semi-analytical technique to find an approximate result of the conformable fractional partial differential equations (CFPDEs). The order derivative will be in (CFD) sense. This definition is effective and simple solution that have intricate with classical like Riemann-Liouville Caputo. Furthermore, obtained by proposed those previous studies used other types methods (...

in this article, an analytical approximate solution of nonlinear fractional convection-diffusion with modifiedriemann-liouville derivative was obtained with the help of fractional variational iteration method (fvim). a newapplication of fractional variational iteration method (fvim) was extended to derive analytical solutions in theform of a series for this equation. it is indicated that the so...

In this paper, the fractional partial differential equations are defined by modified Riemann-Liouville fractional derivative. With the help of fractional derivative and fractional complex transform, these equations can be converted into the nonlinear ordinary differential equations. By using solitay wave ansatz method, we find exact analytical solutions of the space-time fractional Zakharov Kuz...

In this paper, the space-time fractional Eckhaus equation is considered and solved using a direct method (Khater method) to obtain exact solutions. This meth?od produces more solutions when compared other known methods. The real of are classified as travelling wave, kink, periodic sol?itary wave These searched with help conformable derivative sense. Some graphs tables drawn interpret method. Wi...

in this paper, the sinc collocation method is proposed for solving linear and nonlinear multi-order fractional differential equations based on the new definition of fractional derivative which is recently presented by khalil, r., al horani, m., yousef, a. and sababeh, m. in a new definition of fractional derivative, j. comput. appl. math. 264 (2014), 65{70. the properties of sinc functions are ...

In this paper, we analyze the dynamical behavior of delayed fractional-order tumor model with Caputo sense and discretized conformable model. The is constituted group nonlinear differential equations having effector cells. First all, stability bifurcation analysis in fractional derivative studied, existence Hopf depending on time delay parameter proved by using center manifold theory. Applying ...