Exact Solutions, Lie Symmetry Analysis and Conservation Laws of the Time Fractional Diffusion-Absorption Equation

  • Mir Sajjad Hashemi
  • Zahra Balmeh
  • Dumitru Baleanu
Part of the Nonlinear Systems and Complexity book series (NSCH, volume 23)


A three-dimensional Lie algebra of the time fractional diffusion-absorption (TFDA) equation, spanned by vector fields, is obtained. One of the generators is singled out in order to extract an invariant solution in a special domain. Conservation laws of TFDA equation are considered by a developed version of Ibragimov’s method. Then the invariant subspace method is used to construct its exact solutions.


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© Springer International Publishing AG, part of Springer Nature 2019

Authors and Affiliations

  • Mir Sajjad Hashemi
    • 1
  • Zahra Balmeh
    • 1
  • Dumitru Baleanu
    • 2
  1. 1.Department of Mathematics, Basic Science FacultyUniversity of BonabBonabIran
  2. 2.Department of MathematicsÇankaya UniversityAnkaraTurkey

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