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The analytical solutions for conformable integral equations and integro-differential equations by conformable Laplace transform

Optical and Quantum Electronics, ISSN: 1572-817X, Vol: 50, Issue: 2
2018
  • 15
    Citations
  • 0
    Usage
  • 5
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    15
    • Citation Indexes
      15
  • Captures
    5

Article Description

In this article, existence theorem for conformable Laplace transform is expressed. Then by using basic properties of conformable Laplace transform such as convolution theorem, conformable Laplace transform of fractional derivative and fractional integral, authors obtained the exact solution of initial value problems for integral equations and integro-differential equations where the derivatives and integrals are in conformable sense. In the literature it is the first time that obtaining the solutions of integro differential equations, integral equations by means of conformable fractional derivative.

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