Bilal Basti, Rabah Djemiat, Noureddine Benhamidouche
abstract:
This paper discusses and theoretically studies the existence and uniqueness of
radially symmetric solutions for a multidimensional nonlinear time and
space-fractional reaction-diffusion/wave equation that enables treating
vibration and control, signal and image processing, and modeling earthquakes,
among other physical phenomena. Additionally, application of Schauder's and
Banach's fixed point theorems facilitates identifying the existence and
uniqueness of solutions for the selected equation. The applicability of our main
results is demonstrated through examples and explicit solutions.
Mathematics Subject Classification: 35R11, 35A01, 34A08, 35C06, 34K37
Key words and phrases: Multidimensional nonlinear equation, reaction-diffusion/wave, time and space-fractional order, radially symmetric solutions, existence and uniqueness