Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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A STUDY OF A WEAK SOLUTION OF A DIFFUSION PROBLEM FOR A TEMPORAL FRACTIONAL DIFFERENTIAL EQUATION

  • Anakira, Nidal (Department of Mathematics, Faculty of Science and Technology, Irbid National University) ;
  • Chebana, Zinouba (Department of Mathematics and Computer Science, University of Larbi Ben M'hidi) ;
  • Oussaeif, Taki-Eddine (Department of Mathematics and Computer Science, University of Larbi Ben M'hidi) ;
  • Batiha, Iqbal M. (Department of Mathematics, Faculty of Science and Technology, Irbid National University) ;
  • Ouannas, Adel (Department of Mathematics and Computer Science, University of Larbi Ben M'hidi)
  • Received : 2021.12.16
  • Accepted : 2022.03.15
  • Published : 2022.09.01
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Abstract

In this paper, we establish sufficient conditions for the existence and uniqueness of solution for a class of initial boundary value problems with Dirichlet condition in regard to a category of fractional-order partial differential equations. The results are established by a method based on the theorem of Lax Milligram.

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References

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