TY - GEN AU - Lizama, Carlos AU - Murillo Arcila, Marina A4 - Matemáticas PY - 2024 SN - 1099-1476 SN - 0170-4214 UR - http://hdl.handle.net/10498/35599 AB - In this article, we introduce a new nonlocal operator (Formula presented.) defined as a linear combination of the discrete fractional Caputo operator and the fractional sum operator. A new dual operator (Formula presented.) is also introduced by... LA - eng PB - John Wiley and Sons Ltd KW - and Poisson transformation KW - discrete Laplace KW - fractional Caputo and Riemann–Liouville operators KW - Laplace KW - Mittag-Leffler functions and sequences KW - proportional hybrid operators KW - Toeplitz operators TI - On proportional hybrid operators in the discrete setting DO - 10.1002/mma.10551 ER -