This research introduces Bessel functions and derives solutions for partial dynamic equations on time scales, suggesting innovative mathematical approaches.
We introduce Bessel functions and modified Bessel functions of integer order on general time scales and establish their basic properties. The main goal is to obtain fundamental solutions of certain partial dynamic equations. Even in the purely discrete case, we obtain new formulas for the fundamental solutions of the discrete diffusion equation with backward time differences.
No takes yet. Share an insight, caveat, or question.
Cuchta et al. (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: