Caputo–Hadamard Fractional Derivatives of Variable Order |
| |
Authors: | Ricardo Almeida |
| |
Institution: | 1. Department of Mathematics, Center for Research and Development in Mathematics and Applications (CIDMA), University of Aveiro, Aveiro, Portugalricardo.almeida@ua.pt |
| |
Abstract: | In this article, we present three types of Caputo–Hadamard derivatives of variable fractional order and study the relations between them. An approximation formula for each fractional operator, using integer-order derivatives only, is obtained and an estimation for the error is given. At the end, we compare the exact fractional derivative of a concrete example with some numerical approximations. |
| |
Keywords: | Caputo fractional derivative expansion formulas fractional calculus Hadamard fractional derivative variable fractional order |
|
|