On Fractional-and bi-calculi

Abstract

In this paper we introduce fractional-and bi-calculi using Riemann-Liouville approach and Caputo approach as well. An effort is put into explaining the basic principles of these calculi since they are not as common as classical calculus. This was also done for tanh-, bi-Tanh-multiplicative, and bigeometric calculi and in the general case as well. Generalizations are also investigated where the homeomorphisms , n are arbitrary. © 2023 World Scientific and Engineering Academy and Society. All Rights Reserved.