In this paper, shifted Legendre polynomials will be used for constructing the numerical
solution for a class of multiterm variable‐order fractional differential equations. In the …

In this paper, a fractional order economic system is studied. An active control technique is
applied to control chaos in this system. The stabilization of equilibria is obtained by both …

In this paper, a new numerical technique for solving the fractional order diffusion equation is
introduced. This technique basically depends on the Non-Standard finite difference method …

In this manuscript, we work on the essential collocation technique via utilizing the shifted
second Chebyshev polynomials type (SSCPT). The numeral technique for unraveling the …

In this paper, we work on the fundamental collocation strategy using the moved Vieta–Lucas
polynomials type (SVLPT). A numeral method is used for unwinding the nonlinear Rubella …

Fractional diffusion equations include a consistent and efficient explanation of transport
phenomena that manifest abnormal diffusion, that cannot be often represented by second …

In this work, a spatio-temporal homogenization function method is proposed for resolving
one-dimensional fourth-order fractional diffusion-wave equations (FDWEs). A …

In this article, we introduce a numerical technique for solving a class of multi-term variable-
order fractional differential equation. The method depends on establishing a shifted Jacobi …

In this article we develop a numerical algorithm based on redefined extended cubic B-spline
functions to explore the approximate solution of the time-fractional Klein–Gordon equation …

In this paper, two numerical techniques are introduced to study numerically the general
fractional advertising model. This system describes the flux of the consumers from unaware …