Results 31 to 40 of about 20,315 (242)

Fractional Order Barbalat’s Lemma and its Applications in the Stability of Fractional Order Nonlinear Systems

open access: yesMathematical Modelling and Analysis, 2017
This paper investigates fractional order Barbalat’s lemma and its applications for the stability of fractional order nonlinear systems with Caputo fractional derivative at first.
Fei Wang, Yongqing Yang
doaj   +1 more source

On the solution of the space-time fractional cubic nonlinear Schrödinger equation

open access: yesResults in Physics, 2018
The space–time fractional nonlinear Schrödinger equation is studied based on the modified Riemann–Liouville derivative. The fractional mapping expansion method is used to find analytical solution of this model.
E.A. Yousif   +2 more
doaj   +1 more source

A possible generalization of acoustic wave equation using the concept of perturbed derivative order [PDF]

open access: yes, 2013
The standard version of acoustic wave equation is modified using the concept of the generalized Riemann-Liouville fractional order derivative. Some properties of the generalized Riemann-Liouville fractional derivative approximation are presented.
Atangana, Abdon, Kilicman, Adem
core   +3 more sources

Fractional boundary value problems with Riemann-Liouville fractional derivatives [PDF]

open access: yesAdvances in Difference Equations, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tan, Jingjing, Cheng, Caozong
openaire   +2 more sources

Fractional variational iteration method and its application to fractional partial differential equation [PDF]

open access: yes, 2013
We use the fractional variational iteration method (FVIM) with modified Riemann-Liouville derivative to solve some equations in fluid mechanics and in financial models. The fractional derivatives are described in Riemann-Liouville sense.
Elbeleze, Asma Ali   +2 more
core   +2 more sources

Solution of Fractional Order Equations in the Domain of the Mellin Transform

open access: yesJournal of Nigerian Society of Physical Sciences, 2019
This paper presents the Mellin transform for the solution of the fractional order equations. The Mellin transform approach occurs in many areas of applied mathematics and technology.
Sunday Emmanuel Fadugba
doaj   +1 more source

Linear Inverse Problems for Multi-term Equations with Riemann — Liouville Derivatives

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2021
The issues of well-posedness of linear inverse coefficient problems for multi-term equations in Banach spaces with fractional Riemann – Liouville derivatives and with bounded operators at them are considered. Well-posedness criteria are obtained both for
M. M. Turov, V.E. Fedorov, B.T. Kien
doaj   +1 more source

Approximation with Riemann-Liouville fractional derivatives [PDF]

open access: yesStudia Universitatis Babes-Bolyai Matematica, 2019
n this article we study quantitatively with rates the pointwise convergence of a sequence of positive sublinear operators to the unit operator over continuous functions. This takes place under low order smothness,less than one, of the approximated function and it is expressed via the left and right Riemann-Liouville fractional derivatives of it.
openaire   +1 more source

Existence and Ulam stability for nonlinear implicit differential equations with Riemann-Liouville fractional derivative

open access: yesDemonstratio Mathematica, 2019
In this paper, we establish the existence and uniqueness of solutions for a class of initial value problem for nonlinear implicit fractional differential equations with Riemann-Liouville fractional derivative, also, the stability of this class of problem.
M. Benchohra, S. Bouriah, J. Nieto
semanticscholar   +1 more source

Periodic boundary value problems for nonlinear impulsive fractional differential equation [PDF]

open access: yes, 2011
In this paper, we investigate the existence and uniqueness of solution of the periodic boundary value problem for nonlinear impulsive fractional differential equation involving Riemann-Liouville fractional derivative by using Banach contraction ...
Bai, Chuanzhi, Wang, Xiaojing
core   +1 more source

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