[PDF] Top 20 Fractional order Riccati differential equation: Analytical approximation and numerical results
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Fractional order Riccati differential equation: Analytical approximation and numerical results
... the Riccati differential equation of fractional ...reliable results and has a great perfection in the Adomian decomposition method (ADM) truncated series solution which diverges promptly as the ... See full document
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Numerical solution of fractional order Riccati differential equation by differential quadrature method based on Chebyshev polynomials
... for approximation of fractional derivatives has been ...The fractional derivatives are described in the Caputo ...approximate numerical solu- tions of fractional Riccati ... See full document
13
Existence and approximation of solutions to fractional order hybrid differential equations
... of fractional order hybrid differential equations and discuss the frameworks of our ...and approximation of mild solutions of fractional order hybrid differential equations ...provide ... See full document
11
Sine cosine wavelet operational matrix of fractional order integration and its applications in solving the fractional order Riccati differential equations
... , equation () is a classical Riccati equation, which have been studied by using ADM, VIM, HPM, MHPM and ...our results are in well agreement with the exact so- lution, convergent regions of ... See full document
16
Legendre-collocation spectral solver for variable-order fractional functional differential equations
... A numerical method for the variable-order fractional functional differential equations (VO- FFDEs) has been ...on approximation with shifted Legendre ... See full document
12
On numerical techniques for solving the fractional logistic differential equation
... In order to show the behavior of the results produced by GEM and PSE for different values of q, let q = 0.9. Then the GEM method produced ER = 0.2954, that is, 29.54%, whereas the PSE produced ER = 0.4146 or ... See full document
13
Jacobi Elliptic Function Solutions For Fractional Partial Differential Equations
... traditional Riccati sub-equation method to be suitable for seeking exact solutions of partial differential equations in fractional case, and proposed a new fractional Riccati ... See full document
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NUMERICAL SOLUTION OF BLACK – SCHOLES PARTIAL DIFFERENTIAL EQUATION USING DIRECT SOLUTION OF SECOND - ORDER ORDINARY DIFFERENTIAL EQUATION WITH TWO - STEP HYBRID BLOCK METHOD OF ORDER SEVEN
... the numerical solution with the analytical solution in Li- ...The numerical simulation results are seen in good agreement with well- known qualitative behavior of the Black Scholes PDE ... See full document
7
The Traveling Wave Solutions of Space Time Fractional Differential Equation Using Fractional Riccati Expansion Method
... the fractional transformation U ( ) ξ contains only one term, formula (5) is ...corresponding results reported in many literatures are not ...new fractional Riccati expansion ...transform ... See full document
11
Research on generalized space time fractional convection diffusion equation
... multinomial fractional ordinary differential ...three numerical solution methods to approximate the equation ...Using fractional derivative model, it will lead to a series of ... See full document
5
New uniqueness results for fractional differential equation with dependence on the first order derivative
... uniqueness results for BVP; see [6–11, 13, 20, 22, 28, 34, 37, ...nonlinear analytical techniques have been used to study the uniqueness of solutions for differential equation and differential systems ... See full document
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Numerical Solution of Fractional Order Delay Differential Equation using Shifted Chebyshev Polynomials of Second Kind
... To obtain the exact analytic solutions of Fractional Differential Equation,it is very difficult and some time impossible to deal with the complexities computations in these equations.So it is ... See full document
10
Solving a Nonlinear Multi Order Fractional Differential Equation Using Legendre Pseudo Spectral Method
... The numerical solution of differential equations of in- teger order has been a hot topic in numerical and compu- tational mathematics for a long ...of fractional differential ... See full document
6
On solutions of fractional Riccati differential equations
... This paper is arranged as follows. Reproducing kernel Hilbert space theory is given in Section . Implementation of the IRKHSM is shown in Section . Exact and approximate solutions of the problems are presented in ... See full document
10
Approximate Analytical Solution for Quadratic Riccati Differential Equation
... initial approximation to be defined as a power ...recurrent differential equations which must be solved consecutively to give the approximate solution of the ...in order to reach to the higher orders ... See full document
11
Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation
... new numerical method for solving the fractional Riccati differential equation is ...The fractional derivatives are described in the Caputo ...upon fractional-order ... See full document
16
A Novel Numerical Method for Riemann Liouville Fractional Differential Equation
... derive numerical methods for this type of equations. Various types of Numerical methods have been develop rapidly over the last few decades, such as the finite difference methods [11,12,13,14], the finite ... See full document
6
The Reflected-Shifted-Truncated-Gamma Distribution for Negatively Skewed Survival Data with Application to Pediatric Nephrotic Syndrome
... first order evolution equation is the most widely adopted model to describe many physical ...first order model not simulate some processes ...of fractional calculus, more and more scholars ... See full document
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New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions
... The fractional differential equations related notations adopted in this paper can be found, if not explained specifically, in almost all literature related to fractional differential ... See full document
20
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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