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Sumudu Transform Method for Analytical Solutions of Fractional Type Ordinary Differential Equations

Author

Listed:
  • Seyma Tuluce Demiray
  • Hasan Bulut
  • Fethi Bin Muhammad Belgacem

Abstract

We make use of the so-called Sumudu transform method (STM), a type of ordinary differential equations with both integer and noninteger order derivative. Firstly, we give the properties of STM, and then we directly apply it to fractional type ordinary differential equations, both homogeneous and inhomogeneous ones. We obtain exact solutions of fractional type ordinary differential equations, both homogeneous and inhomogeneous, by using STM. We present some numerical simulations of the obtained solutions and exhibit two-dimensional graphics by means of Mathematica tools. The method used here is highly efficient, powerful, and confidential tool in terms of finding exact solutions.

Suggested Citation

  • Seyma Tuluce Demiray & Hasan Bulut & Fethi Bin Muhammad Belgacem, 2015. "Sumudu Transform Method for Analytical Solutions of Fractional Type Ordinary Differential Equations," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-6, June.
    • Handle: RePEc:hin:jnlmpe:131690
    DOI: 10.1155/2015/131690
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    Cited by:

    1. Akgül, Esra Karatas & Akgül, Ali & Yavuz, Mehmet, 2021. "New Illustrative Applications of Integral Transforms to Financial Models with Different Fractional Derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    2. Mamta Kapoor & Nehad Ali Shah & Salman Saleem & Wajaree Weera, 2022. "An Analytical Approach for Fractional Hyperbolic Telegraph Equation Using Shehu Transform in One, Two and Three Dimensions," Mathematics, MDPI, vol. 10(12), pages 1-26, June.

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