[PDF] Top 20 An operational method to solve fractional differential equations
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An operational method to solve fractional differential equations
... present an operational method for solving two fractional equations, namely, the Legendre and the Laguerre ...on operational approach for the Laplace and Mellin, we obtain a ... See full document
11
An algorithm for positive solution of boundary value problems of nonlinear fractional differential equations by Adomian decomposition method
... order differential equations (FDEs) have been the subject of considerable interest during the last two ...found to be effective in describing certain applications in the area of engineering, physics ... See full document
13
Fractional Euler-Lagrange differential equations via Caputo derivatives
... direct method to find exact solutions of fractional variational problems is proposed, based on a simple but powerful idea introduced by Leitmann, that does not involve solving (fractional) ... See full document
10
On the solution of some fractional differential equations
... in fractional differential equations. These equations arise in mathematical physics and engineering ...sciences. An attempt is made to solve some fractional ... See full document
7
Fractional differential equations and Volterra–Stieltjes integral equations of the second kind
... a method to find approximate solutions to fractional differential equations involving fractional derivatives with respect to another ...The method is based ... See full document
21
The Numerical Solution of Fractional Differential Algebraic Equations (FDAEs)
... present method has been extended to solve fractional differentia l-a lgebraic equations (FDA ...given to demonstrate to powerfulness of the ...the method are in ... See full document
6
Numerical study of nonlinear singular fractional differential equations arising in biology by operational matrix of shifted Legendre polynomials
... computational method for solving nonlinear singular boundary value problems of fractional order arising in ...biology. To this end, we apply the operational matrices of derivatives of shifted ... See full document
7
Reduced Differential Transform Method for Solving Klein Gordon Equations
... we solve some Klein–Gordon equations by the reduced differential transform method [15-18] which is presented to overcome the demerit of complex calculation of differential ... See full document
5
Exact Solutions for Three Fractional Partial Differential Equations by the (G'/G) Method
... (G’/G) method by applying it to solve other fractional partial differential ...The fractional derivative is defined in the sense of modified Riemann-liouville ... See full document
6
Monotone method for Riemann-Liouville multi-order fractional differential systems
... Fractional differential equations have various applications in widespread fields of science, such as in engineering [5], chemistry [7, 14, 16], physics [1, 2, 9], and others [10, ...nonlinear ... See full document
18
Regional enlarged observability of fractional differential equations with Riemann—Liouville time derivatives
... for fractional evolution differential equations involving Riemann–Liouville ...Uniqueness Method (HUM) is used to reconstruct the initial state between two prescribed functions, in ... See full document
13
An optimization method for the best fractional order to estimate real data analysis
... consider fractional differential equations, with dependence on a Caputo fractional derivative of real ...of fractional differential equations that model the ...used ... See full document
9
An efficient wavelet based approximation method for a few second order differential equations arising in science and engineering
... approximation method for solving the second order differential equations arising science and engineering is presented in this ...Such differential equation is often applied to model ... See full document
9
Numerical and analytical study for integro-differential equations using shifted Legendre method
... is an equation that involves both integrals and derivatives of an unknown ...functional equations, like ordinary or partial differential equations, integral and ... See full document
10
Liao’s method for a few space and time fractional reaction-diffusion equations arising in Engineering
... made to the applications of fractional differential equations ...These equations are increasingly applied to efficient model problems in research areas as diverse as machanical ... See full document
15
Numerical Investigations on Hybrid Fuzzy Fractional Differential Equations by Improved Fractional Euler Method
... of fractional differential equations (FDE) forms a suitable setting for mathematical model of real world in various fields ...modified fractional Euler method (fuzzy-context) to ... See full document
14
A numerical method to solve higher-order fractional differential equations
... the method, by comparing the exact expression of the Caputo fractional derivative of a given function with some numerical ...useful to solve fractional differential ... See full document
11
Fibonacci collocation method with a residual error Function to solve linear Volterra integro differential equations
... collocation method based on the Fibonacci polynomials is introduced to solve the high-order linear Volterraintegro-differential equations under the ...included to demonstrate the ... See full document
14
Operational method for the solution of ordinary differential equations using Hermite series
... a method based on a new general operational calculus that was introduced in ...The operational calculus is an abstract linear algebra theory that can be used to solve many kinds ... See full document
15
Averaging for fuzzy differential equations
... Notice that in condition (H5) we do not require that the function f o is Lipschitz continuous. On the other hand, the averaging results stated in [5, 6, 15] are proved under conditions that are stronger compared ... See full document
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