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A New Neumann Series Method for Solving a Family of Local Fractional Fredholm and Volterra Integral Equations

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  • Xiao-Jing Ma
  • H. M. Srivastava
  • Dumitru Baleanu
  • Xiao-Jun Yang

Abstract

We propose a new Neumann series method to solve a family of local fractional Fredholm and Volterra integral equations. The integral operator, which is used in our investigation, is of the local fractional integral operator type. Two illustrative examples show the accuracy and the reliability of the obtained results.

Suggested Citation

  • Xiao-Jing Ma & H. M. Srivastava & Dumitru Baleanu & Xiao-Jun Yang, 2013. "A New Neumann Series Method for Solving a Family of Local Fractional Fredholm and Volterra Integral Equations," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-6, July.
    • Handle: RePEc:hin:jnlmpe:325121
    DOI: 10.1155/2013/325121
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    Cited by:

    1. Dubey, Ved Prakash & Singh, Jagdev & Alshehri, Ahmed M. & Dubey, Sarvesh & Kumar, Devendra, 2022. "An efficient analytical scheme with convergence analysis for computational study of local fractional Schrödinger equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 196(C), pages 296-318.

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