In this study, two lagged fractional order singular neutral differential equations are considered. Using the advantage of association property Riemann -Liouville derivative, derivative appropriate Lyapunov function is calculated. Then, with help LMI, sufficient conditions for asymptotic stability zero solutions obtained.

At present, fractional differential is the effective mathematical approach which deals with factual problems. This projected technique employs derivatives definitions Riemann-Liouville (R-L), Grunwald-Letnikov (G-L) and caputo for denoising medical image. The presented method based on derivative in turn improves quality of input image processed integer order such as pre-processing operation, co...

Anomalous diffusion with ballistic scaling is characterized by a linear spreading rate with respect to time that scales like pure advection. Ballistic scaling may be modeled with a symmetric Riesz derivative if the spreading is symmetric. However, ballistic scaling coupled with a skewness is observed in many applications, including hydrology, nuclear physics, viscoelasticity, and acoustics. The...

in this paper, we consider the second-kind chebyshev polynomials (skcps) for the numerical solution of the fractional optimal control problems (focps). firstly, an introduction of the fractional calculus and properties of the shifted skcps are given and then operational matrix of fractional integration is introduced. next, these properties are used together with the legendre-gauss quadrature fo...

Fractional differential equations describe nature adequately because of the symmetry properties that physical and biological processes. In this paper, a new approximation is found for variable-order (VO) Riemann–Liouville fractional derivative (RLFD) operator; on basis, an efficient numerical approach formulated VO time-fractional modified subdiffusion (TFMSDE). Complete theoretical analysis pe...

This article compares conformable fractional Derivative with Riemann-Liouville and Caputo derivative by comparing solutions to ordinary differential equations involving the three derivatives via numerical simulations of solutions. The result shows that can be used as an alternative for order α 1/2<α<1.