[PDF] Top 20 Euler’s Method for Fractional Differential Equations
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Euler’s Method for Fractional Differential Equations
... the fractional calculus gets involved in more and more areas, especially in control theory – viscoelastic, theory-electronic, chemicals - fractal theory and so ...for fractional differential ... See full document
19
Use of Euler’s Method for Fractional Differential Equations
... the fractional calculus gets involved in more and more areas, especially in control theory – viscoelastic, theory-electronic, chemicals -fractal theory and so ...for fractional differential ... See full document
15
Solution of Fractional Differential Equations By Adomian Decomposition Method With Chebyshev Polynomials
... decomposition method has been used in 9-14 to solve effectively, easily and accurately a large class of linear and non-linear ordinary, partial, deterministic or stochastic fractional differential ... See full document
9
Solution of Fractional Differential Equations By Adomian Decomposition Method With Chebyshev Polynomials
... ABSTRACT : We study the nonlinear fractional differential equations using Adomian Decomposition with Chebyshev polynomials. The source terms are represented in terms of Taylor series and Chebyshev ... See full document
9
Block-structured Adaptive Mesh Refinement - Theory, Implementation and Application
... volume method, and the description of the most important classes of high-resolution shock-capturing ...the Euler equations are ...for Euler equations are given to verify and benchmark ... See full document
54
Fractional order Euler functions for solving fractional integro differential equations with weakly singular kernel
... called fractional-order Euler functions (FEFs) is constructed to obtain the solution of fractional integro-differential ...the fractional-order Euler functions are utilized to construct ... See full document
13
A Meshless Method for Numerical Solution of Fractional Differential Equations
... solve fractional differential ...further method, such as operational method,the Adomian decomposition method(ADM)[6], the homotopy perturbation method(HPM)[7, 10], the ... See full document
8
A fast numerical method for fractional partial differential equations
... to fractional partial derivatives, partial derivatives, and an approximate ...gebraic equations we can find the desired approximate ...matrix method to a multi- variable Volterra integral ... See full document
20
Solution to time fractional generalized KdV of order 2q+1 and system of space fractional PDEs
... Operational methods provide fast and universal mathematical tool for obtaining the solution of PDEs or even FPDEs. The combination of the integral transforms, operational methods and the special functions give more ... See full document
10
Ulam Stability for System of Nonlinear Implicit Fractional Differential Equations
... In 1940, Ulam [22] proposed a general Ulam stability problem in the talk before the Mathematics Club of University of Wisconsin in which he discussed a number of important unsolved problems. In the following year, Hyers ... See full document
10
Fractional type of flatlet oblique multiwavelet for solving fractional differential and integro-differential equations
... the fractional biorthog- onal basis for the flatlet ...of fractional derivative which is applicable for numerical solution of the given boundary value ...proposed method is used to solve some ... See full document
15
Initial value problems for fractional differential equations involving Riemann-Liouville derivative
... of fractional derivatives become apparent in modeling mechanical and electrical properties of real materials, and in many other fields, like theory of ...studying fractional differential ... See full document
9
Wavelets operational methods for fractional differential equations and systems of fractional differential equations
... of fractional order integration is developed and is applied for solving linear and non linear ...and Euler polynomials are also very important functions when it comes to an arbitrary function approximation, ... See full document
63
Numerical solution of multi-order fractional differential equations via the sinc collocation method
... is fractional calculus which dates back to the time of Leibniz [1] and from then many studies were done in this field ...[14]–[12]. Fractional differential equations (FDEs) have attracted the ... See full document
13
Approximate Solution for Fuzzy Differential Algebraic Equations of Fractional Order Using Fractional Differential Transform Method
... Piston-Ring Assembly (a) Equivalent Stresses (von-misses) (b) Result Maximum shear stress (c) frictional Stress Acting on Bronze Piston Ring (d) Sliding distance occur during the operat[r] ... See full document
9
Convergence rate and stability of the truncated Euler-Maruyama method for stochastic differential equations
... be arbitrarily close to q / 2 under some additional conditions. However, there are some restrictions on the truncation functions and these restrictions sometimes might force the step size to be so small that the ... See full document
16
Modified Algorithm for Solving Linear Integro Differential Equations of the Second Kind
... wavelet method, the differential transform method (DTM), and the Adomian decomposition method ...VIM method, the VIM gives better ... See full document
10
The Adomian Decomposition Method for a Type of Fractional Differential Equations
... differential equations are ...decomposition method is an efficient ...some differential equations are hard to deal with be- cause of the nonlinear ...decomposition method is a ... See full document
8
Particular solutions of a certain class of associated Cauchy-Euler fractional partial differential equations via fractional calculus
... 7. Nishimoto, K: Fractional Calculus, vol. 2. Descartes Press, Koriyama (1987) 8. Nishimoto, K: Fractional Calculus, vol. 3. Descartes Press, Koriyama (1989) 9. Nishimoto, K: Fractional Calculus, ... See full document
11
The truncated Euler–Maruyama method for stochastic differential equations
... tic differential equations (SDEs) under the local Lipschitz ...tamed Euler–Maruyama (EM) method, the tamed Milstein method, the stopped EM, the backward EM, the backward forward EM, ... See full document
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