In this paper, we apply Daftardar-Jafari method (DJM) to obtain approximate solutions of the nonlinear Burgers (NBE) and coupled nonlinear Burger’s equations (CNBEs) with Caputo-Fabrizio fractional operator (CFFO). The efficiency of the considered method is illustrated by some examples. Graphical results are utilized and discussed quantitatively to illustrate the solution. The results reveal that the suggested algorithm is very effective and simple and can be applied for other problems in sciences and engineering
Using the Fourier series as a projection in the Galerkin method, we approach the solution of the Cau...
We give a constructive proof of the existence and uniqueness of the solution, under certain conditio...
AbstractAn iterative method for solving nonlinear functional equations, viz. nonlinear Volterra inte...
The paper presents a new technique called homotopy perturbation Sumudu transform Method (HPSTM), whi...
In this paper, using Riemann-Liouville integral and Caputo derivative, we study an n−dimensional cou...
Fractional derivative D^qf(x) (0 < q < 1, 0 <_ _ - x <_ _ - 1) of a function f(x) is defined in term...
Mathematics Subject Classification 2010: 35M10, 35R11, 26A33, 33C05, 33E12, 33C20.The paper deals wi...
The theory of fractional order derivatives are almost as old as the integer-order [5]. There are man...
In this paper, we obtain analytical solutions of a system of time-fractional coupled Burger equation...
By means of fractional calculus techniques, we find explicit solutions of the modified hydrogen atom...
In this paper, we derive analytic expressions for coefficients of the equations that allow calculati...
AbstractIn this paper we have used the homotopy analysis method (HAM) to obtain solutions of multi-t...
Here we consider the approximation of functions by sublinear positive operators with applications to...
We present a generalization of several results of the classical continuous Clifford function theory ...
AbstractWe obtain precise large time asymptotics for the Cauchy problem for Burgers type equations s...
Using the Fourier series as a projection in the Galerkin method, we approach the solution of the Cau...
We give a constructive proof of the existence and uniqueness of the solution, under certain conditio...
AbstractAn iterative method for solving nonlinear functional equations, viz. nonlinear Volterra inte...
The paper presents a new technique called homotopy perturbation Sumudu transform Method (HPSTM), whi...
In this paper, using Riemann-Liouville integral and Caputo derivative, we study an n−dimensional cou...
Fractional derivative D^qf(x) (0 < q < 1, 0 <_ _ - x <_ _ - 1) of a function f(x) is defined in term...
Mathematics Subject Classification 2010: 35M10, 35R11, 26A33, 33C05, 33E12, 33C20.The paper deals wi...
The theory of fractional order derivatives are almost as old as the integer-order [5]. There are man...
In this paper, we obtain analytical solutions of a system of time-fractional coupled Burger equation...
By means of fractional calculus techniques, we find explicit solutions of the modified hydrogen atom...
In this paper, we derive analytic expressions for coefficients of the equations that allow calculati...
AbstractIn this paper we have used the homotopy analysis method (HAM) to obtain solutions of multi-t...
Here we consider the approximation of functions by sublinear positive operators with applications to...
We present a generalization of several results of the classical continuous Clifford function theory ...
AbstractWe obtain precise large time asymptotics for the Cauchy problem for Burgers type equations s...
Using the Fourier series as a projection in the Galerkin method, we approach the solution of the Cau...
We give a constructive proof of the existence and uniqueness of the solution, under certain conditio...
AbstractAn iterative method for solving nonlinear functional equations, viz. nonlinear Volterra inte...