Results 31 to 40 of about 21,294 (235)
On the solution of the space-time fractional cubic nonlinear Schrödinger equation
Results 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
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Linear Inverse Problems for Multi-term Equations with Riemann — Liouville Derivatives
Известия 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
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Solution of Fractional Order Equations in the Domain of the Mellin Transform
Journal 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
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Fast algorithms for convolution quadrature of Riemann-Liouville fractional derivative [PDF]
Applied Numerical Mathematics, 2019 Recently, the numerical schemes of the Fokker-Planck equations describing anomalous diffusion with two internal states have been proposed in Nie et al., [23] , which use convolution quadrature to approximate the Riemann-Liouville fractional derivative ...
Jing Sun, Daxin Nie, W. Deng
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Gauge invariance in fractional field theories [PDF]
, 2008 The principle of local gauge invariance is applied to fractional wave equations and the interaction term is determined up to order $o(\bar{g})$ in the coupling constant $\bar{g}$.
Abers +28 more
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Fractional variational iteration method and its application to fractional partial differential equation [PDF]
, 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
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Approximation with Riemann-Liouville fractional derivatives [PDF]
Studia 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
Axioms, 2023 In this study, we obtained a system of eigenfunctions and eigenvalues for the mixed homogeneous Sturm-Liouville problem of a second-order differential equation containing a fractional derivative operator.
Ludmila Kiryanova, Tatiana Matseevich
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The Nehari manifold for a boundary value problem involving Riemann–Liouville fractional derivative
Advances in Differential Equations, 2018 We aim to investigate the following nonlinear boundary value problems of fractional differential equations: (Pλ){−tD1α(|0Dtα(u(t))|p−20Dtαu(t))=f(t,u(t))+λg(t)|u(t)|q−2u(t)(t∈(0,1)),u(0)=u(1)=0, $$\begin{aligned} (\mathrm{P}_{\lambda}) \left ...
K. Saoudi +4 more
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Periodic boundary value problems for nonlinear impulsive fractional differential equation [PDF]
, 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
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