วิธีการแยกเชฮูอโดเมียนสำหรับการหาผลเฉลยของ สมการเชิงปริพันธ์-อนุพันธ์เชิงเศษส่วน

Sinsup Nubpetchploy; Piyatida  T.Chaisuwan; Duangkamol Poltem

Authors

Sinsup Nubpetchploy Faculty of Science and Technology, Rajamangala University of Technology Tawan-ok
Piyatida T.Chaisuwan Faculty of Science and Technology, Rajamangala University of Technology Tawan-ok
Duangkamol Poltem Department of Mathematics, Faculty of Science, Burapha University

Keywords:

Shehu transform , Adomian polynomial , integro-differential equation , fractional derivative

Abstract

In this paper, we apply Shehu transform and Adomian decomposition method to find the approximate solution of nonlinear fractional Volterra integro-differential and fractional Volterra-Fredholm integro-differential equation. The fractional derivative is described in Caputo sense. Finally, we provide some applications to validate the efficiency and the high accuracy of this technique.

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