Atomic Solution for Certain Gardner Equation

Mohammad Al-Khaleel, Sharifa Al-Sharif, Ameerah AlJarrah

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


In this paper, a new technique using a tensor product is presented in order to provide exact solutions to some certain fractional differential equations. Particularly, the well-known third order Gardner’s equation, which is also known in some contexts as KdV-mKdV, of the fractional type. This type of equations plays an important role in modeling many symmetric and asymmetric problems. Moreover, the existence of an atomic solution using a tensor product technique for certain second order equations has been proved.

Original languageBritish English
Article number440
Issue number2
StatePublished - Feb 2023


  • Gardner’s equation
  • inverse problems
  • tensor product of Banach spaces


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