[PDF] Top 20 Brenstien polynomials and its application to fractional differential equation
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Brenstien polynomials and its application to fractional differential equation
... of fractional calculus and is extensively used in many fields of science and ...of fractional order operators, fractional cal- culus is extensively used to model many important models of ... See full document
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The solution for a class of sum operator equation and its application to fractional differential equation boundary value problems
... The content of this paper is organized as follows. In Section , we present some defini- tions, lemmas and basic results that will be used in the proofs of our theorems. In Section , we consider the existence and ... See full document
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Solution of Fractional Differential Equations By Adomian Decomposition Method With Chebyshev Polynomials
... stochastic fractional differential equations with approximate solutions which converge rapidly to accurate ...the differential equation ... See full document
9
A new operational matrix of Caputo fractional derivatives of Fermat polynomials: an application for solving the Bagley Torvik equation
... of fractional-order derivatives (sensu Caputo) of Fermat polynomials is ...the fractional Bagley-Torvik equation with the aid of tau spectral ...the fractional differential ... See full document
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Approximate solutions of a sum type fractional integro differential equation by using Chebyshev and Legendre polynomials
... sum-type fractional integro-differential problem via the Caputo ...Chebyshev polynomials, we provide a numerical method for finding solutions for the ... See full document
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APPLICATION OF TWO-DIMENSIONAL FRACTIONAL COSINE TRANSFORM TO DIFFERENTIAL EQUATION
... Abstract: Fractional cosine and sine transform are closely related to fractional Fourier transform which is most essential tool in the theory of optics and signal ...new differential operator and ... See full document
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On the Solutions of a Linear Fractional Differential Equation
... 7. Oyedepo T, Taiwo OA, Abubakar JU, Ogunwobi ZO (2016) “Numerical Studies for Solving Fractional Integro-Differential Equations by using Least Squares Method and Bernstein Polynomials”. Fluid Mech ... See full document
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Solution of Fractional Differential Equations By Adomian Decomposition Method With Chebyshev Polynomials
... stochastic fractional differential equations with approximate solutions which converge rapidly to accurate ...the differential equation ... See full document
9
Numerical Solution of Fractional Order Delay Differential Equation using Shifted Chebyshev Polynomials of Second Kind
... Chebyshev Polynomials of second ...the polynomials defined in section ...chebyshev polynomials of second kind denoted by U n ∗ (x) for all x ∈ [0, 1] by change of variable s = 2x − 1 or x = 1/2(s + ... See full document
10
On the Approximate Solution of Fractional Logistic Differential Equation Using Operational Matrices of Bernstein Polynomials
... The fractional Logistic model can obtain by applying the fractional derivative operator on the Logistic equa- ...differential equation. The discrete Logistic model is simple iterative ... See full document
8
Comparison between the Laplace Decomposition Method and Adomian Decomposition in Time Space Fractional Nonlinear Fractional Differential Equations
... Adomian polynomials they represent nonlinearities arising in above system [Equation ...partial differential equations. The components of above Adomian polynomials are given below ... See full document
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Numerical solution of fractional order Riccati differential equation by differential quadrature method based on Chebyshev polynomials
... The fractional differential equations have received considerable interest in recent ...applications, fractional derivatives and fractional integrals provide more accu- rate models of the systems than ... See full document
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An Efficient Numerical Method for Solving Volterra-Fredholm Integro-Differential Equations of Fractional Order by Using Shifted Jacobi-Spectral Collocation Method Mohammed G. S. AL-Safi
... solve fractional order Volterra-Fredholm integro-differential ...Jacobi polynomials together with the collocation method are utilized to reduce the fractional order Volterra-Fredholm integro- ... See full document
8
Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation
... of fractional order integration and its applications in solving the fractional order differential equations, ...linear fractional differential equations with variable ... See full document
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Solution Of Integro-Differential Equation Of The Second Order With The Operators
... In this paper, we study the existence , uniqueness and also stability solution of integro-differential equations of the second order with the operators by using both method Picard approximation and Banach fixed ... See full document
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A Reliable Treatment of Iterative Laplace Transform Method for Fractional Telegraph Equations
... space-time fractional telegraph Eq. (19) reduces to space fractional telegraph equation and the solution is same as obtained by Momani [27] using ADM, Odibat and Momani [37] using GDTM, Yildirim [4] ... See full document
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The Reflected-Shifted-Truncated-Gamma Distribution for Negatively Skewed Survival Data with Application to Pediatric Nephrotic Syndrome
... has its own characteristic relaxation ...Since fractional-based models have not widely applied in modeling the fictive temperature, I want to explore the the possibility of modeling structural relaxation by ... See full document
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ON THE SOLUTIONS OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION
... the equation (8) is ordinary differential equation x ′ (t) = x(t) + t with the condition x(0) = ...2. Its solution is x(t) = 3e t − t − 1, and the graph of its approximation is drawn on Figure ... See full document
6
A fractional type of the Chebyshev polynomials for approximation of solution of linear fractional differential equations
... Chebyshev polynomials are one of the most useful polynomials which are suitable in numerical analysis including polynomial approximation, in- tegral and differential equations and spectral methods ... See full document
12
Probabilistic solutions to nonlinear fractional differential equations of generalized Caputo and Riemann–Liouville type
... certain fractional differential equations and stochastic processes can be found in the literature (see, ...between fractional equations and stochastic analysis was given in [11, ... See full document
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