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Discontinuity, Nonlinearity, and Complexity 15(4) (2026) 597--608 | DOI:10.5890/DNC.2026.12.009

Svetlin G. Georgiev$^{1}$, Sneha M. Chhatraband$^{2}$ , Tukaram G. Thange$^{3}$

$^{1}$ Department of Mathematics, Sorbonne University, Paris, France

$^{2}$ Department Mathematics, MIT Academy of Engineering, Alandi(D), Pune, (M.S.), India - 412105

$^{3}$ Department of Mathematics, Yogeshwari Mahavidyalaya, Ambajogai, (M. S.), India -431517

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Abstract

This paper introduces the concept of generalized conformable shift (delay) for the functions defined on an entire time scales by formulating the concept of generalized conformable shifting problem. We establish the existence of solutions and use this framework to define the generalized conformable convolution. A generalized conformable convolution theorem is then proved.

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