Results 11 to 20 of about 12,553 (141)

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, E.A-B. Abdel-Salam, M.A. El-Aasser   +2 more
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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, Kilicman, Adem, M. Taib, Bachok   +2 more
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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, Baleanu, Baleanu, Caputo, Chiu, Edmonds, Feller, Goldfain, Grünwald, Herrmann, Herrmann, Lim, Liouville, Miller, Oldham, Pauli, Podlubny, Raspini, Raspini, Richard Herrmann, Riemann, Riesz, Sakurai, Weyl, Wilson, Yang, Yao, Zavada, Zeeman   +28 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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Sturm-Liouville Problem with Mixed Boundary Conditions for a Differential Equation with a Fractional Derivative and Its Application in Viscoelasticity Models

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
doaj   +1 more source

A new Riemann–Liouville type fractional derivative operator and its application in generating functions

Advances in Difference Equations, 2018
Here, the concept of a new and interesting Riemann–Liouville type fractional derivative operator is exploited. Treatment of a fractional derivative operator has been made associated with the extended Appell hypergeometric functions of two variables and ...
M. Shadab, M. Faisal Khan, J. Luis Lopez-Bonilla   +2 more
doaj   +1 more source

Nabla Fractional Derivative and Fractional Integral on Time Scales

Axioms, 2021
In this paper, we introduce the nabla fractional derivative and fractional integral on time scales in the Riemann–Liouville sense. We also introduce the nabla fractional derivative in Grünwald–Letnikov sense.
Bikash Gogoi, Utpal Kumar Saha, Bipan Hazarika, Delfim F. M. Torres, Hijaz Ahmad   +4 more
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Weyl Quantization of Fractional Derivatives

, 2009
The quantum analogs of the derivatives with respect to coordinates q_k and momenta p_k are commutators with operators P_k and $Q_k. We consider quantum analogs of fractional Riemann-Liouville and Liouville derivatives.
Kilbas A. A., Miller K., Oldham K. B., Podlubny I., Samko S. G., Tarasov V. E., Vasily E. Tarasov, Yosida K., Zaslavsky G. M.   +8 more
core   +1 more source