Abstract
We study the solution of fractional Fredholm integrodifferential equation. A modified version of the fractional power series method (RPS) is presented to extract an approximate solution of the model. The RPS method is a combination of the generalized fractional Taylor series and the residual functions. To show the efficiency of the proposed method, numerical results are presented.
Highlights
Fractional Fredholm integrodifferential equations have several applications in sciences and engineering
We study the solution of fractional Fredholm integrodifferential equation
We study the following class of fractional Fredholm integrodifferential equations of the form b
Summary
Fractional Fredholm integrodifferential equations have several applications in sciences and engineering. The closed form of the exact solution of such problems is difficult to find and in most of the cases is not available. Wazwaz [6,7,8] studied the Fredholm integral equations of the form b u (x) = f (x) + λ ∫ K (x, t) u (t) dt,. We study the following class of fractional Fredholm integrodifferential equations of the form b. In the following definition and theorem, we write the definition of Caputo derivative as well as the power rule which we are using in this paper. We present the following definition and some properties of the fractional power series which are used in this paper.
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