Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

CONTINUATION THEOREM OF FRACTIONAL ORDER EVOLUTIONARY INTEGRAL EQUATIONS

  • El-Sayed, Ahmed M.A. (Department of mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt) ;
  • Aly, Mohamed A.E. (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt)
  • Published : 2002.05.01

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Abstract

The fractional order evolutionary integral equations have been considered by first author in [6], the existence, uniqueness and some other properties of the solution have been proved. Here we study the continuation of the solution and its fractional order derivative. Also we study the generality of this problem and prove that the fractional order diffusion problem, the fractional order wave problem and the initial value problem of the equation of evolution are special cases of it. The abstract diffusion-wave problem will be given also as an application.

Keywords

References

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