Results 31 to 40 of about 2,052,042 (321)

Derivation of operational matrix of Rabotnov fractional-exponential kernel and its application to fractional Lienard equation

Alexandria Engineering Journal, 2020
Our motive in this contribution is to find out the operational matrix of fractional derivative having non singular kernel namely Rabotnov fractional-exponential (RFE) kernel which is recently introduced and seeking numerical solution of non-linear ...
Sachin Kumar, J.F. Gómez-Aguilar, J.E. Lavín-Delgado, D. Baleanu   +3 more
doaj   +1 more source

Fractional Newton-Raphson Method Accelerated with Aitken's Method

, 2021
In the following document, we present a way to obtain the order of convergence of the Fractional Newton-Raphson (F N-R) method, which seems to have an order of convergence at least linearly for the case in which the order $\alpha$ of the derivative is ...
Torres-Hernandez, A., Brambila-Paz, F., Iturrarán-Viveros, U., Caballero-Cruz, R.   +3 more
core   +1 more source

Hilfer–Katugampola fractional derivatives

Computational and Applied Mathematics, 2017
We propose a new fractional derivative, the Hilfer-Katugampola fractional derivative. Motivated by the Hilfer derivative this formulation interpolates the well-known fractional derivatives of Hilfer, Hilfer-Hadamard, Riemann-Liouville, Hadamard, Caputo, Caputo-Hadamard, Liouville, Weyl, generalized and Caputo-type.
Oliveira, D. S., de Oliveira, E. Capelas
openaire   +2 more sources

Lie symmetry analysis of (2+1)-dimensional time fractional Kadomtsev-Petviashvili equation [PDF]

Open Communications in Nonlinear Mathematical Physics
In this paper, Lie symmetry analysis method is applied to the (2+1)-dimensional time fractional Kadomtsev-Petviashvili (KP) equation with the mixed derivative of Riemann-Liouville time-fractional derivative and integer-order $x$-derivative.
Jicheng Yu, Yuqiang Feng
doaj   +1 more source

Improvement on Conformable Fractional Derivative and Its Applications in Fractional Differential Equations

Journal of Function Spaces, 2020
In this paper, we made improvement on the conformable fractional derivative. Compared to the original one, the improved conformable fractional derivative can be a better replacement of the classical Riemann-Liouville and Caputo fractional derivative in ...
Feng Gao, Chunmei Chi
doaj   +1 more source

Comparative analysis for radiative slip flow of magnetized viscous fluid with mixed convection features: Atangana-Baleanu and Caputo-Fabrizio fractional simulations

Case Studies in Thermal Engineering, 2021
This novel investigation suggests interesting solution techniques regarding the magnetized flow of Casson material through a porous space confined by a vertical surface.
M. Ijaz Khan, Ali Raza, Maria Naseem, Kamel Al-Khaled, Sami Ullah Khan, M. Imran Khan, Essam Roshdy El-Zahar, M.Y. Malik   +7 more
doaj   +1 more source

On a New Modification of the Erdélyi–Kober Fractional Derivative

Fractal and Fractional, 2021
In this paper, we introduce a new Caputo-type modification of the Erdélyi–Kober fractional derivative. We pay attention to how to formulate representations of Erdélyi–Kober fractional integral and derivatives operators.
Z. Odibat, D. Baleanu
semanticscholar   +1 more source

Fractional calculus of periodic distributions [PDF]

, 2011
Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier
Khan, Khaula Naeem, Lamb, Wilson, Mcbride, Adam   +2 more
core   +1 more source

An Extension of the Picard Theorem to Fractional Differential Equations with a Caputo-Fabrizio Derivative

Journal of Function Spaces, 2021
In this paper, we consider fractional differential equations with the new fractional derivative involving a nonsingular kernel, namely, the Caputo-Fabrizio fractional derivative.
H. R. Marasi, A. Soltani Joujehi, H. Aydi   +2 more
doaj   +1 more source

A New Generalized Definition of Fractional Derivative with Non-Singular Kernel

De Computis, 2020
This paper proposes a new definition of fractional derivative with non-singular kernel in the sense of Caputo which generalizes various forms existing in the literature. Furthermore, the version in the sense of Riemann–Liouville is defined.
K. Hattaf
semanticscholar   +1 more source