Initial-boundary value problems for a time-fractional differential equation with involution perturbation

Nasser Al-Salti, Sebti Kerbal, Mokhtar Kirane*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


Direct and inverse initial-boundary value problems of a time-fractional heat equation with involution perturbation are considered using both local and nonlocal boundary conditions. Results on existence of formal solutions to these problems are presented. Solutions are expressed in a form of series expansions using appropriate orthogonal basis obtained by separation of variables. Convergence of series solutions are obtained by imposing certain conditions on the given data. Uniqueness of the obtained solutions are also discussed. The obtained general solutions are illustrated by an example using an appropriate choice of the given data.

Original languageEnglish
Article number312
JournalMathematical Modelling of Natural Phenomena
Issue number3
Publication statusPublished - 2019


  • Initial-boundary value problems
  • Involution perturbation
  • Time-fractional differential equation

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics


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