One dimensional fractional frequency Sumudu transform by inverse α−difference operator
نویسندگان
چکیده
منابع مشابه
A Note on Fractional Sumudu Transform
We propose a new definition of a fractional-order Sumudu transform for fractional differentiable functions. In the development of the definition we use fractional analysis based on the modified Riemann-Liouville derivative that we name the fractional Sumudu transform. We also established a relationship between fractional Laplace and Sumudu duality with complex inversion formula for fractional S...
متن کاملOn Sumudu Transform Method in Discrete Fractional Calculus
and Applied Analysis 3 2. Preliminaries on Time Scales A time scale T is an arbitrary nonempty closed subset of the real numbers R. The most wellknown examples are T R, T Z, and T q : {qn : n ∈ Z}⋃{0}, where q > 1. The forward and backward jump operators are defined by σ t : inf{s ∈ T : s > t}, ρ t : sup{s ∈ T : s < t}, 2.1 respectively, where inf ∅ : supT and sup ∅ : inf T. A point t ∈ T is sa...
متن کاملSome Remarks on the Fractional Sumudu Transform and Applications
In this work we study fractional order Sumudu transform. In the development of the definition we use fractional analysis based on the modified Riemann Liouville derivative, then we name the fractional Sumudu transform. We also establish a relationship between fractional Laplace and Sumudu via duality with complex inversion formula for fractional Sumudu transform and apply new definition to solv...
متن کاملNonlinear Fractional Jaulent-Miodek and Whitham-Broer-Kaup Equations within Sumudu Transform
and Applied Analysis 3 by considering a general fractional nonlinear nonhomogeneous partial differential equation with the initial condition of the following form: D α t U (x, t) = L (U (x, t)) + N (U (x, t)) + f (x, t) , α > 0, (13) subject to the initial condition D k 0 U (x, 0) = gk, (k = 0, . . . , n − 1) , D n 0 U (x, 0) = 0, n = [α] , (14) where D t denotes without loss of generality the ...
متن کاملRecursive Algorithms for Realization of One- Dimensional Discrete Sine Transform and Inverse Discrete Sine Transform
In this paper, novel recursive algorithms for realization of one-dimensional discrete sine transform (DST) and inverse discrete sine transform (IDST) of any length are proposed. By using some mathematical techniques, recursive expressions for DST and IDST have been developed. Then, the DST and IDST are implemented by recursive filter structures. A linear systolic architecture for realization of...
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: Journal of Computational Mathematica
سال: 2020
ISSN: 2456-8686
DOI: 10.26524/cm73