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128.956  Articles
1 of 12.897 pages  |  10  records  |  more records»
Numerical calculation of the fractional integrals and derivatives is the code tosearch fractional calculus and solve fractional differential equations. The exactsolutions to fractional differential equations are compelling to get in real applications,&nbs... see more

Nonlinear partial differential equations are mostly renowned for depicting the underlying behavior of nonlinear phenomena relating to the nature of the real world. In this paper, we discuss analytic solutions of fractional-order nonlinear Schrodinger type... see more

Operational analogues of integral-differential operators of variable fractional order in the S-transform are proposed. The examples of application of operational matrices of integration with variable fractional order to integrate different signals and sol... see more

In this paper, the stability with respect to part of the variables of nonlinear Caputo fractional differential equations is studied. A sufficient conditions of stability, uniform stability, Mittag Leffler stability and asymptotic uniform stability of this... see more

This paper focuses on the approximate solutions of the higher order fractional differential equations with multi terms by the help of Hermite Collocation method (HCM). This new method is an adaptation of Taylor's collocation method in terms of truncated H... see more

In this work, we extended the work of Sheen et al., 2003 for the numerical solution of multi-term fractional order linear differential equations by an integral representation in the complex plane. The resultant integral is approximated to high o... see more

In this paper we find the complete solution of some kinds of linear third order partial differential equations of variable coefficients with three independent variables which have the general form  Where A,B,…,T are variable coefficients . By use t... see more

The exact solution of third order fractional partial differential equations is obtained depending on initial-boundary value problem. The exact solutions and theorem of stability estimates is presented for this equation. Difference schemes are constructed ... see more

A Wide Area Measurement System (WAMS) can extend and effectively improve a controllers’capability of damping inter-area low-frequency oscillations in interconnected power systems. Thispaper presents an implementation of a Wide Area Fractional-Order Propor... see more

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