Laplace’s transform of fractional order via the Mittag–Leffler function and modified Riemann–Liouville derivative
نویسندگان
چکیده
منابع مشابه
The operational matrix of fractional derivative of the fractional-order Chebyshev functions and its applications
In this paper, we introduce a family of fractional-order Chebyshev functions based on the classical Chebyshev polynomials. We calculate and derive the operational matrix of derivative of fractional order $gamma$ in the Caputo sense using the fractional-order Chebyshev functions. This matrix yields to low computational cost of numerical solution of fractional order differential equations to the ...
متن کاملControl and Synchronization of the Fractional-Order Lorenz Chaotic System via Fractional-Order Derivative
The unstable equilibrium points of the fractional-order Lorenz chaotic system can be controlled via fractional-order derivative, and chaos synchronization for the fractional-order Lorenz chaotic system can be achieved via fractional-order derivative. The control and synchronization technique, based on stability theory of fractional-order systems, is simple and theoretically rigorous. The numeri...
متن کاملFractional Order Derivative Filter Design Using Fourier Transform Interpolation Method
Fractional order derivative is one of the important techniques for the designing of fractional order filter such as differentiator and integrator. Three basic approaches that are used for the design of the fractional order differentiator namely: discretization method, interpolation method and approximation method. All these method provide a great degree of approximation to the designed filter s...
متن کاملSymmetries and exact solutions of the time fractional Harry-Dym equation with RiemannLiouville derivative
In this paper, group analysis of the time fractional Harry-Dym equation with Riemann– Liouville derivative is performed. Its maximal symmetry group in Lie’s sense and the corresponding optimal system of subgroups are determined. Similarity reductions of the equationunder study are performed. As a result, the reduced fractional ordinary differential equations are deduced, and some group invarian...
متن کاملthe operational matrix of fractional derivative of the fractional-order chebyshev functions and its applications
in this paper, we introduce a family of fractional-order chebyshev functions based on the classical chebyshev polynomials. we calculate and derive the operational matrix of derivative of fractional order $gamma$ in the caputo sense using the fractional-order chebyshev functions. this matrix yields to low computational cost of numerical solution of fractional order differential equations to the ...
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: Applied Mathematics Letters
سال: 2009
ISSN: 0893-9659
DOI: 10.1016/j.aml.2009.05.011