Results 101 to 110 of about 161,465 (191)

FRACTIONAL-ORDER VARIATIONAL DERIVATIVE

International Journal of Apllied Mathematics, 2016
We consider some possible approaches to the fractional-order generalization of definition of variation (functional) derivative. Some problems of formulation of a fractional-order variational derivative are discussed. To give a consistent definition of the fractional-order variations, we use a fractional generalization of Gateaux differential.
openaire   +2 more sources

Role of fractional derivatives in the mathematical modeling of the transmission of Chlamydia in the United States from 1989 to 2019. [PDF]

Nonlinear Dyn, 2023
Vellappandi M, Kumar P, Govindaraj V.
europepmc   +1 more source

Stabilization of 1D solitons by fractional derivatives in systems with quintic nonlinearity. [PDF]

Sci Rep, 2022
Stephanovich VA, Olchawa W.
europepmc   +1 more source

Assessing the impact of SARS-CoV-2 infection on the dynamics of dengue and HIV via fractional derivatives. [PDF]

Chaos Solitons Fractals, 2022
Omame A, Abbas M, Abdel-Aty AH.
europepmc   +1 more source

A new crossover dynamics mathematical model of monkeypox disease based on fractional differential equations and the Ψ-Caputo derivative: Numerical treatments

Alexandria Engineering Journal
A novel crossover model for monkeypox disease that incorporates Ψ-Caputo fractional derivatives is presented here, where we use a simple nonstandard kernel function Ψ(t).
N.H. Sweilam, S.M. Al-Mekhlafi, W.S. Abdel Kareem, G. Alqurishi   +3 more
doaj   +1 more source

Enhancement in heat transfer due to hybrid nanoparticles in MHD flow of Brinkman-type fluids using Caputo fractional derivatives. [PDF]

Sci Rep, 2022
Sheikh NA, Ching DLC, Khan I, Sakidin HB.   +3 more
europepmc   +1 more source

Author Correction: Enhancement in heat transfer due to hybrid nanoparticles in MHD flow of Brinkman-type fluids using Caputo fractional derivatives. [PDF]

Sci Rep, 2022
Sheikh NA, Ching DLC, Khan I, Sakidin HB.   +3 more
europepmc   +1 more source

Investigation of optical soliton solutions for the fractional-order nonlinear Schrödinger equation including parabolic law of nonlinearity

Boundary Value Problems
The optical soliton solutions for the fractional-order nonlinear Schrödinger equation with parabolic law are investigated in the present study. The analysis employs conformable fractional derivatives, beta derivatives, and truncated M-fractional ...
Shah Muhammad, Abdul Saboor, Muhammad Shakeel, Hameed Gul Ahmadzai   +3 more
doaj   +1 more source

A case study of Covid-19 epidemic in India via new generalised Caputo type fractional derivatives. [PDF]

Math Methods Appl Sci, 2021
Kumar P, Suat Erturk V.
europepmc   +1 more source

The Stability of Non-standard Finite Difference Scheme for Solution of Partial Differential Equations of Fractional Order

پژوهش‌های ریاضی, 2015
Fractional derivatives and integrals are new concepts of derivatives and integrals of arbitrary order. Partial differential equations whose derivatives can be of fractional order are called fractional partial differential equations (FPDEs).
M. Arab Ameri, E Mir Mehrabi
doaj