Results 111 to 120 of about 9,528 (243)

Fixed‐Point Results for (θ,G)‐Quasirational Contraction in Triple Controlled Metric‐Like Spaces With Applications

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 9, Page 9920-9933, June 2025.
ABSTRACT In this article, we provided fixed‐point results for (Θ,G1)$$ \left(\Theta, {G}_1\right) $$‐quasirational contraction and (Θ,G2)$$ \left(\Theta, {G}_2\right) $$‐quasirational contraction within the setting of triple controlled metric‐like spaces.
Sadia Farooq   +3 more
wiley   +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  

Stability analysis of fractional differential system with Riemann–Liouville derivative

open access: yesMathematical and Computer Modelling, 2010
In this paper we focus on establishing stability theorems for fractional differential system with Riemann-Liouville derivative, in particular our analysis covers the linear system, the perturbed system and the time-delayed system.
Deliang Qian   +3 more
openaire   +1 more source

Lie symmetry analysis, conservation laws and exact solutions of the seventh-order time fractional Sawada–Kotera–Ito equation

open access: yesResults in Physics, 2016
In this paper Lie symmetry analysis of the seventh-order time fractional Sawada–Kotera–Ito (FSKI) equation with Riemann–Liouville derivative is performed.
Emrullah Yaşar   +2 more
doaj  

The general solution of impulsive systems with Riemann-Liouville fractional derivatives

open access: yesOpen Mathematics, 2016
AbstractIn this paper, we study a kind of fractional differential system with impulsive effect and find the formula of general solution for the impulsive fractional-order system by analysis of the limit case (as impulse tends to zero). The obtained result shows that the deviation caused by impulses for fractional-order system is undetermined.
Xianmin Zhang   +4 more
openaire   +3 more sources

On Generalized Composite Fractional Derivative

open access: yesWalailak Journal of Science and Technology, 2014
In the present paper, we define a generalized composite fractional derivative and obtain results, which include the image of power function, Laplace transform and composition of Riemann-Liouville fractional integral with the generalized composite ...
Mridula GARG   +3 more
doaj   +1 more source

On the fractional derivatives at extrema points

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2012
We correct a recent result concerning the fractional derivative at extrema points. We then establish new results for the Caputo and Riemann-Liouville fractional derivatives at extrema points.
Mohammed Al-Refai
doaj   +1 more source

Numerical Algorithms for the Fractional Diffusion-Wave Equation with Reaction Term

open access: yesAbstract and Applied Analysis, 2013
Two numerical algorithms are derived to compute the fractional diffusion-wave equation with a reaction term. Firstly, using the relations between Caputo and Riemann-Liouville derivatives, we get two equivalent forms of the original equation, where we ...
Hengfei Ding, Changpin Li
doaj   +1 more source

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