Title of article :
On the generalized fractional derivatives and their Caputo modification
Author/Authors :
Jarad ، Fahd - Cankaya University , Abdeljawad ، Thabet - Prince Sultan University , Baleanu ، Dumitru - Cankaya University
Abstract :
In this manuscript, we define the generalized fractional derivative on AC^ n_ y [a, b]), the space of functions defined on [a, b] such that Y^n-1 f E AC[a, b]\), where Y=x^1-p d/dx. We present some of the properties of generalized fractional derivatives of these functions and then we define their Caputo version.
Keywords :
RiemannLiouville fractional derivatives , Caputo fractional derivatives , Hadamard fractional derivatives , Caputo , Hadamard fractional derivatives , generalized fractional integral , generalized Caputo fractional derivatives
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
