article · Alexandria Engineering Journal
In this research work, we introduce an innovative concept known as the q -trigonometric derivative within the framework of the Caputo derivative. Our approach begins by introducing a novel notion of a trigonometric q -derivative and thoroughly examining its characteristics. We subsequently merge this new definition with the Caputo derivative to introduce a novel approach to q -fractional calculus. To analytically address this q -trigonometric system, we effectively employ the q -Laplace transform to derive solutions. Notably, the bivariate q -Mittag-Leffler ( q -ML) function plays a significant role in this process. We provide detailed explanations and examples of this approach with two illustrative examples.
This page summarises published work. The authoritative version sits with the publisher.
DOI: 10.1016/j.aej.2025.02.005
Is something wrong with this record? Report it or request removal.
Discussion
Have you built on this work, tried to replicate it, or seen it applied in practice? Share what you know. Verified researchers and MARATTO™ domain experts can open a discussion, and any member can reply. Contributions are reviewed before they appear.
No discussion yet. Open the first thread.
New to MARATTO™? Create a free account.
