Results 21 to 30 of about 599,088 (208)

Fractional variational problems with the Riesz-Caputo derivative [PDF]

open access: yes, 2012
In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R.   +2 more
core   +1 more source

Cauchy problem for the equations with fractional of Riemann-Liouville derivatives

open access: yesDoklady of the National Academy of Sciences of Belarus, 2020
Summary: In this article, we study the question of the solvability of an analogue of the Cauchy problem for ordinary differential equations with fractional Riemann-Liouville derivatives on the unbounded right-hand side in certain function spaces. The solvability conditions of the problem under consideration in given function spaces, as well as the ...
Zabreĭko, Petr P.   +1 more
openaire   +3 more sources

Fractional variational problems depending on indefinite integrals [PDF]

open access: yes, 2012
We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor   +8 more
core   +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   +3 more sources

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 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

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

Stabilization of a fractional-order chain of integrators: a contraction-based approach [PDF]

open access: yes, 2013
In this paper, stabilization of a chain of fractional-order integrators is attempted. The stability is proved using contraction analysis.
SPURGEON, S   +8 more
core   +1 more source

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