Results 11 to 20 of about 598,171 (126)

Extended Riemann-Liouville fractional derivative operator and its applications [PDF]

open access: yes, 2015
Many authors have introduced and investigated certain extended fractional derivative operators. The main object of this paper is to give an extension of the Riemann-Liouville fractional derivative operator with the extended Beta function given by ...
Agarwal, Praveen   +2 more
core   +11 more sources

On Conformable, Riemann-Liouville, and Caputo fractional derivatives [PDF]

open access: yes, 2022
This article compares conformable fractional Derivative with Riemann-Liouville and Caputo fractional derivative by comparing solutions to fractional ordinary differential equations involving the three fractional derivatives via the numerical simulations ...
Guswanto, Bambang Hendriya   +2 more
core   +1 more source

Lipschitz Stability in Time for Riemann–Liouville Fractional Differential Equations [PDF]

open access: yes, 2021
A system of nonlinear fractional differential equations with the Riemann–Liouville fractional derivative is considered. Lipschitz stability in time for the studied equations is defined and studied.
Hristova, Snezhana   +5 more
core   +2 more sources

Evaluating an Improper Fractional Integral Based on Jumarie's Modified Riemann-Liouville Fractional Calculus

open access: yes, 2023
: In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional calculus, we find the solution of some type of improper fractional integral.
Chii-Huei Yu
core   +1 more source

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

An Alternative Definition for the k-Riemann-Liouville Fractional Derivative [PDF]

open access: yes, 2015
Copyright c © 2014 Gustavo Abel Dorrego. This is an open access article distributed un-der the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly ...
Dorrego, Gustavo   +2 more
core   +1 more source

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

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

Geometry of curves with Riemann-Liouville fractional derivative

open access: yes, 2023
Yüksek LisansBu tez çalışmasında Riemann-Liouville kesirli türev operatörü yardımıyla ?^2 ve ?^3 uzayında eğrilerin diferansiyel geometrisi çalışılmıştır.
Arslan, Fatma
core   +1 more source

Integral-Type Fractional Equations with a Proportional Riemann–Liouville Derivative

open access: yes, 2021
In this paper, we present the necessary conditions where integral-type fractional equations with a proportional Riemann–Liouville derivative have a unique solution.
Nabil Mlaiki
core   +1 more source

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