EXISTENCE UNIQUENESS AND ULAM STABILITY OF SOLUTION TO N-TUPLE ORDER Q-FRACTIONAL DIFFERENCE EQUATION

Abstract

In this paper, motivated by Riemann-Liouville quantum fractional operator, Caputo quantum fractional operator, and Hilfer quantum fractional operator, the author will study the n-tuple order definition of q-fractional derivative and the relevant theories. Moreover, the existence, uniqueness, and Ulam stability of the solution to the n-tuple order q-fractional difference equation will be illustrated