Fractional difference inequalities for possible Lyapunov functions: a review

Y Wei, L Zhao, X Zhao, J Cao - Fractional Calculus and Applied Analysis, 2024 - Springer
This study delves into the origin, evolution, and practical applications of fractional difference
inequalities based on recent literature. The review provides an overview of existing …

[HTML][HTML] The power fractional calculus: First definitions and properties with applications to power fractional differential equations

EM Lotfi, H Zine, DFM Torres, N Yousfi - Mathematics, 2022 - mdpi.com
Using the Laplace transform method and the convolution theorem, we introduce new and
more general definitions for fractional operators with non-singular kernels, extending well …