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A Novel Integral Operator Transform and Its Application to Some FODE and FPDE with Some Kind of Singularities

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  • Abdon Atangana
  • Adem Kilicman

Abstract

We introduced a novel integral transform operator. We proved the existence and the uniqueness of the relatively new operator. We presented some useful properties of the new operator. We presented the application of this operator for solving some kind of fractional ordinary and partial differential equation containing some kind of singularity.

Suggested Citation

  • Abdon Atangana & Adem Kilicman, 2013. "A Novel Integral Operator Transform and Its Application to Some FODE and FPDE with Some Kind of Singularities," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-7, August.
    • Handle: RePEc:hin:jnlmpe:531984
    DOI: 10.1155/2013/531984
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    Cited by:

    1. Rania Saadeh & Ahmad Qazza & Aliaa Burqan, 2022. "On the Double ARA-Sumudu Transform and Its Applications," Mathematics, MDPI, vol. 10(15), pages 1-19, July.

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