Abstract
The existence and uniqueness results of two fractional Hahn difference boundary value problems are studied. The first problem is a Riemann-Liouville fractional Hahn difference boundary value problem for fractional Hahn integrodifference equations. The second is a fractional Hahn integral boundary value problem for Caputo fractional Hahn difference equations. The Banach fixed-point theorem and the Schauder fixed-point theorem are used as tools to prove the existence and uniqueness of solution of the problems.
Highlights
The quantum calculus is the subject of calculus without limits and deals with a set of nondifferentiable functions
The quantum operators are widely used in mathematic fields such as hypergeometric series, complex analysis, orthogonal polynomials, combinatorics, hypergeometric functions, and the calculus of variations
The quantum calculus is found in many applications, such as quantum mechanics and particle physics [1,2,3,4,5,6,7,8,9]
Summary
The quantum calculus is the subject of calculus without limits and deals with a set of nondifferentiable functions. The existence and uniqueness results of two fractional Hahn difference boundary value problems are studied. The second is a fractional Hahn integral boundary value problem for Caputo fractional Hahn difference equations.
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