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Exact Solutions of Fragmentation Equations with General Fragmentation Rates and Separable Particles Distribution Kernels

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  • S. C. Oukouomi Noutchie
  • E. F. Doungmo Goufo

Abstract

We make use of Laplace transform techniques and the method of characteristics to solve fragmentation equations explicitly. Our result is a breakthrough in the analysis of pure fragmentation equations as this is the first instance where an exact solution is provided for the fragmentation evolution equation with general fragmentation rates. This paper is the key for resolving most of the open problems in fragmentation theory including “shattering” and the sudden appearance of infinitely many particles in some systems with initial finite particles number.

Suggested Citation

  • S. C. Oukouomi Noutchie & E. F. Doungmo Goufo, 2014. "Exact Solutions of Fragmentation Equations with General Fragmentation Rates and Separable Particles Distribution Kernels," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-5, July.
    • Handle: RePEc:hin:jnlmpe:789769
    DOI: 10.1155/2014/789769
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    Cited by:

    1. Mohamed Biomy & Khaled Zennir & Ahmed Himadan, 2020. "Local and Global Existence of Solution for Love Type Waves with Past History," Mathematics, MDPI, vol. 8(11), pages 1-21, November.

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