Results 51 to 60 of about 598,171 (126)

Riemann-Liouville fractional cosine functions

, 2016
In this article, we present the notion of Riemann-Liouville fractional cosine function. we prove that a Riemann-Liouville alpha-order fractional cosine function is equivalent to the Riemann-Liouville alpha-order fractional resolvent introduced in [15]
Ji-Gen Peng, Zhan-Dong Mei
core  

On a Generic Fractional Derivative Associated with the Riemann–Liouville Fractional Integral

In this paper, a generic fractional derivative is defined as a set of the linear operators left-inverse to the Riemann–Liouville fractional integral.
Yuri Luchko
core   +1 more source

Generalized Extended Riemann-Liouville type fractional derivative operator

, 2019
In this paper, we aim to present new extensions of incomplete gamma, beta, Gauss hypergeometric, confluent hypergeometric function and Appell-Lauricella hypergeometric functions, by using the extended Bessel function due to Boudjelkha [4].
Abbas, Hafida, Azzouz, Abdelhalim, Zahaf, Mohammed Brahim, Belmekki, Mohamed   +3 more
core  

Analytical approximate solutions of fractionel convection-diffusion equation with modified Riemann-Liouville derivative by means of fractional variational iteration method

, 2013
In this article, an analytical approximate solution of nonlinear fractional convection-diffusion with modified Riemann-Liouville derivative was obtained with the help of fractional variational iteration method (FVIM).
M Merdan
core   +1 more source

A novel grey system model with discrete Riemann-Liouville fractional derivative and its applications. [PDF]

Sci Prog
Xu Z, Peng R, Pang M, Jiang J, Zhang R, Liu C.   +5 more
europepmc   +1 more source

Three layers thermal protection system modeling by Riemann-Liouville fractional derivative. [PDF]

Sci Rep
Brociek R, Hetmaniok E, Słota D.
europepmc   +1 more source

New adaptive memory stochastic fractional operators and their applications in computational intelligence. [PDF]

Sci Rep
Khan TU, Al-Juaid BS, Markarian C.
europepmc   +1 more source

Regularity of mild solutions to fractional Cauchy problems with Riemann-Liouville fractional derivative

, 2014
As an extension of the fact that a sectorial operator can determine an analytic semigroup, we first show that a sectorial operator can determine a real analytic alpha-order fractional resolvent which is defined in terms of Mittag-Leffler function and ...
Hong-Rui Sun, Ya-Ning Li
core  

On the numerical instability of the Riemann–Liouville fractional derivative: analysis of errors and convergence behaviour

This paper develops a second-order numerical approximation for the Riemann–Liouville fractional derivative using a modified product trapezoidal rule.
Sunday Simon Isah, Kenneth Ifeanyi Isife
core   +1 more source

A numerical framework for fractional and fractal-fractional analysis of the Pehlivan chaotic system using Caputo derivative. [PDF]

Sci Rep
Vinoth R, Jayalakshmi M.
europepmc   +1 more source