Results 21 to 30 of about 2,558 (225)

On the k-Riemann-Liouville fractional derivative

open access: yesInternational Journal of Contemporary Mathematical Sciences, 2013
The aim of this paper is to introduce an alternative denition for the k-Riemann-Liouville fractional derivative given in [6] and whose advantage is that it is the left inverse of the corresponding of k-RiemannLiouville fractional integral operator introduced by [5].
L. G. Romero   +3 more
openaire   +1 more source

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

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

Fractional differential repetitive processes with Riemann–Liouville and Caputo derivatives [PDF]

open access: yesMultidimensional Systems and Signal Processing, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dariusz Idczak, Rafal Kamocki
openaire   +2 more sources

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

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

A study of forced oscillations via Hilfer fractional derivative

open access: yesCQD Revista Eletrônica Paulista de Matemática, 2022
The present study seeks to understand the forced oscillations through modeling via fractional differential equation, using the derivative according to Hilfer and representing the external force as a succession of delta Dirac functions.
Silas de Sá Cavalcanti Melo   +1 more
doaj  

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

open access: yesComputation, 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.
Khalid Hattaf
doaj   +1 more source

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

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