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Solution of Singular Integral Equations via Riemann–Liouville Fractional Integrals

Author

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  • Manar A. Alqudah
  • Pshtiwan Othman Mohammed
  • Thabet Abdeljawad

Abstract

In this attempt, we introduce a new technique to solve main generalized Abel’s integral equations and generalized weakly singular Volterra integral equations analytically. This technique is based on the Adomian decomposition method, Laplace transform method, and - Riemann–Liouville fractional integrals. Finally, some examples are proposed and they illustrate the rapidness of our new technical method.

Suggested Citation

  • Manar A. Alqudah & Pshtiwan Othman Mohammed & Thabet Abdeljawad, 2020. "Solution of Singular Integral Equations via Riemann–Liouville Fractional Integrals," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-8, September.
    • Handle: RePEc:hin:jnlmpe:1250970
    DOI: 10.1155/2020/1250970
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    Cited by:

    1. Kamsing Nonlaopon & Awais Gul Khan & Farah Ameen & Muhammad Uzair Awan & Clemente Cesarano, 2022. "Multi-Step Quantum Numerical Techniques for Finding the Solutions of Nonlinear Equations," Mathematics, MDPI, vol. 10(15), pages 1-17, July.
    2. Pshtiwan Othman Mohammed & José António Tenreiro Machado & Juan L. G. Guirao & Ravi P. Agarwal, 2021. "Adomian Decomposition and Fractional Power Series Solution of a Class of Nonlinear Fractional Differential Equations," Mathematics, MDPI, vol. 9(9), pages 1-18, May.

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