In this paper, we present an analytical method to solve a time-conformable fractional telegraph equation with three boundary conditions namely, Dirichlet, Neumann and Robin. This based on Fourier conformable calculus properties. We give examples validate method.

A generalized fractional derivative (GFD) definition is proposed in this work. For a differentiable function that can be expanded by Taylor series, we show D^Elafa*D^Beta f(t)=D^(Elafa+Beta)f(t). GFD applied for some functions which investigate coincides with Caputo and Riemann-Liouville derivatives' results. The solutions of Riccati differential equation are simply obtained via GFD. comparison...

in this paper, a numerical efficient method is proposed for the solution of time fractionalmobile/immobile equation. the fractional derivative of equation is described in the caputosense. the proposed method is based on a finite difference scheme in time and legendrespectral method in space. in this approach the time fractional derivative of mentioned equationis approximated by a scheme of order o...

In this paper, it is presented that an approximate solution of a class non-linear differential equations with conformable derivative under boundary conditions by using sinc-Galerkin method not used to approximately solve the considered equation in literature. method, function expressed as finite series terms composite translated sinc functions and unknown coefficients. The problem reduced into ...

in this paper, inverse laplace transform method is applied to analytical solution of the fractional sturm-liouville problems. the method introduces a powerful tool for solving the eigenvalues of the fractional sturm-liouville problems. the results  how that the simplicity and efficiency of this method.

the aim of this paper is to study the high order difference scheme for the solution of a fractional partial differential equation (pde) in the electroanalytical chemistry. the space fractional derivative is described in the riemann-liouville sense. in the proposed scheme we discretize the space derivative with a fourth-order compact scheme and use the grunwald- letnikov discretization of the ri...