Hamilton’s principle with variable order fractional derivatives
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 کاملA numerical approach for variable-order fractional unified chaotic systems with time-delay
This paper proposes a new computational scheme for approximating variable-order fractional integral operators by means of finite element scheme. This strategy is extended to approximate the solution of a class of variable-order fractional nonlinear systems with time-delay. Numerical simulations are analyzed in the perspective of the mean absolute error and experimental convergence order. To ill...
متن کاملFractional Order Generalized Thermoelastic Functionally Graded Solid with Variable Material Properties
In this work, a new mathematical model of thermoelasticity theory has been considered in the context of a new consideration of heat conduction with fractional order theory. A functionally graded isotropic unbounded medium is considered subjected to a periodically varying heat source in the context of space-time non-local generalization of three-phase-lag thermoelastic model and Green-Naghdi mod...
متن کاملA fourth-order approximation of fractional derivatives with its applications
A fourth-order compact difference approximation is derived for the space fractional derivatives by using the weighted average of the shifted Grunwald formulae combining the compact technique. The properties of proposed fractional difference quotient operator are presented and proved. Then the new approximation formula is applied to solving the space fractional diffusion equations. By the energy...
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: Fractional Calculus and Applied Analysis
سال: 2011
ISSN: 1314-2224,1311-0454
DOI: 10.2478/s13540-011-0007-7