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An Exact Solution of the Second-Order Differential Equation with the Fractional/Generalised Boundary Conditions

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  • Mariusz Ciesielski
  • Tomasz Blaszczyk

Abstract

We analysed the initial/boundary value problem for the second-order homogeneous differential equation with constant coefficients in this paper. The second-order differential equation with respect to the fractional/generalised boundary conditions is studied. We presented particular solutions to the considered problem. Finally, a few illustrative examples are shown.

Suggested Citation

  • Mariusz Ciesielski & Tomasz Blaszczyk, 2018. "An Exact Solution of the Second-Order Differential Equation with the Fractional/Generalised Boundary Conditions," Advances in Mathematical Physics, Hindawi, vol. 2018, pages 1-9, April.
    • Handle: RePEc:hin:jnlamp:7283518
    DOI: 10.1155/2018/7283518
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    Cited by:

    1. Roberto Garrappa & Eva Kaslik & Marina Popolizio, 2019. "Evaluation of Fractional Integrals and Derivatives of Elementary Functions: Overview and Tutorial," Mathematics, MDPI, vol. 7(5), pages 1-21, May.

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