Caputo–Hadamard Fractional Derivatives of Variable Order
نویسندگان
چکیده
منابع مشابه
Variable-order fractional derivatives and their numerical approximations
This paper addresses complex, variable-order fractional derivatives, enlarging the definitions for the real case. Implementations combining discretised Crone approximations using fuzzy logic and interpolation are also addressed.
متن کاملAn Expansion Formula with Higher-Order Derivatives for Fractional Operators of Variable Order
We obtain approximation formulas for fractional integrals and derivatives of Riemann-Liouville and Marchaud types with a variable fractional order. The approximations involve integer-order derivatives only. An estimation for the error is given. The efficiency of the approximation method is illustrated with examples. As applications, we show how the obtained results are useful to solve different...
متن کاملNumerical study for multi-strain tuberculosis (TB) model of variable-order fractional derivatives
In this paper, we presented a novel multi-strain TB model of variable-order fractional derivatives, which incorporates three strains: drug-sensitive, emerging multi-drug resistant (MDR) and extensively drug-resistant (XDR), as an extension for multi-strain TB model of nonlinear ordinary differential equations which developed in 2014 by Arino and Soliman [1]. Numerical simulations for this varia...
متن کاملA Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions
and Applied Analysis 3 Ta bl e 1: Fr ac tio na lo rd er de riv at iv es fo rs om ef un ct io ns . Fu nc tio ns Lfr ac tio na ld er iv at iv es x β , > − 1 x − α + β Γ ( 1 + β )
متن کاملFiltering using variable order vertical derivatives
Vertical derivatives of aeromagnetic and gravity datasets are routinely used as an aid to the interpretation process because they enhance detail and sharpen geophysical anomalies. Since they are a form of high-pass filter they also have the undesirable property of enhancing noise. Traditionally, the second order vertical derivative of a dataset would be calculated, and if this proved too noisy ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Numerical Functional Analysis and Optimization
سال: 2016
ISSN: 0163-0563,1532-2467
DOI: 10.1080/01630563.2016.1217880