Abstract
In this paper, the Sumudu decomposition method is developed to solve the general form of the fractional nonlinear Volterra-Fredholm integro-differential equation. The fractional derivative is described in the Caputo sense. The proposed method is based on the application of the Sumudu transform to the fractional nonlinear Volterra-Fredholm integro-differential equation. The nonlinear term can easily be handled with the help of Adomian polynomials. Illustrative examples are given, and numerical results are provided to demonstrate the efficiency of the proposed method.
Original language | English |
---|---|
Pages (from-to) | 348-361 |
Number of pages | 14 |
Journal | Nonlinear Dynamics and Systems Theory |
Volume | 19 |
Issue number | 3 |
Publication status | Published - 2019 |
Externally published | Yes |
Keywords
- Adomian decomposition
- Approximate Solutions
- Fractional integro-differential equation
- Sumudu transform
ASJC Scopus subject areas
- Mathematical Physics
- Applied Mathematics