The tanh–coth method combined with the Riccati equation for solving nonlinear coupled equation in mathematical physics

An exponential spline for solving the fractional riccati differential equation

In this Article, proposes an approximation for the solution of the Riccati equation based on the use of exponential spline functions. Then the exponential spline equations are obtained and the differential equation of the fractional Riccati is discretized. The effect of performing this mathematical operation is obtained from an algebraic system of equations. To illustrate the benefits of the me...

A new fractional sub-equation method for solving the space-time fractional differential equations in mathematical physics

In this paper, a new fractional sub-equation method is proposed for finding exact solutions of fractional partial differential equations (FPDEs) in the sense of modified Riemann-Liouville derivative. With the aid of symbolic computation, we choose the space-time fractional Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZKBBM) equation in mathematical physics with a source to illustrate the validity a...

The Riccati Equation in Mathematical Finance

The concept of a closed-form solution to the Riccati equation has been given a precise mathematical definition by Kovacic (1986). Furthermore Kovacic also gave an algorithm that can be used to determine the closed-form solutions to the Riccati ordinary differential equation. The Riccati equation plays an important role in the solution to a class of problems in mathematical finance. In this pape...

a new fractional sub-equation method for solving the space-time fractional differential equations in mathematical physics

in this paper, a new fractional sub-equation method is proposed for finding exact solutions of fractional partial differential equations (fpdes) in the sense of modified riemann-liouville derivative. with the aid of symbolic computation, we choose the space-time fractional zakharov-kuznetsov-benjamin-bona-mahony (zkbbm) equation in mathematical physics with a source to illustrate the validity a...

Application of Iterative Methods for Solving General Riccati Equation