Abstract: This paper aims to apply the Laplace transform for solving linear fractional-order differential equation. The Laplace transform is a powerful tool in applied mathematics and engineering. It will allow us to transform fractional differential equations into algebraic equations and then by solving this algebraic equations, we can obtain the unknown function by using the Inverse Laplace T...

The inverse Laplace transform enables the solution of ordinary linear differential equations as well systems differentials with applications in physical and engineering sciences. is essentially an integral which introduced help a suitable generalized integral. ultimate goal this work to introduce reader some basic ideas for solving initially then equations.

in chemical engineering, several processes are represented by singular boundary value problems. in general, classical numerical methods fail to produce good approximations for the singular boundary value problems. in this paper, chebyshev finite difference (chfd) method and dtm-pad´e method, which is a combination of differential transform method (dtm) and pad´e approximant, are applied for sol...

The one-dimensional q-differential transformation was introduced in [8] for solving the ordinary qdifferential equations. Here, we present the definition and operation of the two-dimensional qdifferential transform. A distinctive feature of the q-differential transform is its ability to solve linear and nonlinear partial q-differential equations. Applied Mathematics and Computation 2011 (217) 9...