In this article, we introduce a novel scheme based on Physics Informed Neural Network (PINN) for solving Fractional Differential Equations (FDEs) in terms of Caputo derivative. Solution: Take the Laplace Transform of both equations with zero initial. The general solution of the homogeneous system is. Nowadays, the study of neural networks is one of the most interesting research topics. If a system is represented by a single nth order differential equation. When a function is differentiable it is also continuous. In electrical engineering, a differential-algebraic system of equations ( DAEs) is a system of equations that either contains differential equations and algebraic equations, or is equivalent to such a system. The resulting relation uniquely defines a homogeneous system of equations, given the fundamental matrix. Because when a function is differentiable we can use all the power of calculus when working with it.
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