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A new concept of q-calculus with respect to another function

Year: 2024

Type: article

Abstract: In this paper, we present an approach to quantum calculus and its applications through a functional method. This approach enables the exploration of the number-theoretic properties of q-calculus in a functional framework, facilitating the modification of variable-order q-differential equations and their solutions. The paper primarily focuses on the functional aspects of quantum number theory, functional-order q-derivatives, and their applications.

Source: Journal of Innovative Applied Mathematics and Computational Sciences

DOI: 10.58205/jiamcs.v4i2.1874

Authors: Shrinath Manjarekar, Hossein Jafari

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W6937172072

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