Unified space-time fractional cable equation

Document Type : Research Paper


Department of Applied Sciences, College of Agriculture, Sumerpur-Pali, Agriculture University of Jodhpur, Jodhpur 342304, India


Recently fractional cable equation has been investigated by many authors who have applied it in various areas. Here we introduce and investigate a generalized space-time fractional cable equation associated with Riemann-Liouville and Hilfer fractional derivatives. By mainly applying both Laplace and Fourier transforms, we express the solution of the proposed generalized fractional cable equation as H-functions. The main results here are general enough to be specialized to yield many new and known results, only several of which are demonstrated in corollaries. Finally, we consider the moment of the Green function with its several asymptotic formulas.


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Volume 14, Issue 10
October 2023
Pages 315-325
  • Receive Date: 27 September 2021
  • Revise Date: 29 October 2021
  • Accept Date: 13 November 2021