CAPUTO fractional derivativesIn this paper, the inverse cumulative grey time power model with a Caputo fractional derivative is established, and the solution to the whitening equation is given by the Laplace transform. To improve the prediction accuracy of the model, the linear-t...
Abstract We prove a novel, tight lower bound for the norm in \textrm{L}^2[0,T] of the Caputo fractional derivative. It is based on continuous linear functionals, Peano kernels, and the Gaussian hypergeometric function.Similar content being viewed by others Representation and inequalities ...
The usage of functional parameter in power form allowed up to 19% accuracy enhancement compared to the classic Caputo derivative while the usage of sigmoid function up to 2.6-times lowers the error. Such behaviour remains when predicting soil moisture dynamics within the following irrigation cycles....
Several New Integral Inequalities Via Caputo k-Fractional Derivative OperatorsConvex functionη-quasi-convexs-convexs-Godunova–Levin typeCaputok-fractional integralHermite–Hadamard inequalityHölder inequalityweighted Hölder inequalitypower mean inequality...
This paper proposes a nonlocal time structural derivative model based on the Caputo fractional derivative to describe superfast diffusion in which the structural function is a power law function of time. The obtained concentration of the diffusive particles, i.e. the solution ...
This paper proposes a nonlocal time structural derivative model based on the Caputo fractional derivative to describe superfast diffusion in which the structural function is a power law function of time. The obtained concentration of the diffusive particles, i.e. the solution of the structural ...
constant proportional Caputo derivativemagnetic effectMHDporositypower-law kernelThis article aims to investigate free convection of a Casson fluid past a vertical plate embedded in porous medium with invariant wall temperature. It is assumed that the fluid can conduct electricity and it is flowing ...
power law kernelIn this work, influence of hybrid nanofluids on heat transfer flow of a viscous fluid due to pressure gradient is discussed with innovative constant proportional Caputo fractional derivative. For this purpose, we consider an infinite vertical wall which is exponentially moving in thex...
In this study, a four-dimensional fractional hyperchaotic model is analyzed based on general Riemann-Liouville-Caputo (RLC) fractal-fractional derivative (FFD). A series of new operators are constructed using three different elements, namely, the general Mittag-Leffler function, exponential decay, and...
The model is also checked for approximate solution by HPM through a comparison of the parameter power,p, for each equation. The numerical simulation for both methods is provided in different fractional orders along with comparison with each other as well as with natural order 1...