Results 81 to 90 of about 161,465 (191)

Opial type Lp-inequalities for fractional derivatives

International Journal of Mathematics and Mathematical Sciences, 2002
This paper presents a class of Lp-type Opial inequalities for generalized fractional derivatives for integrable functions based on the results obtained earlier by the first author for continuous functions (1998). The novelty of our approach is the use of
G. A. Anastassiou, J. J. Koliha, J. Pecaric   +2 more
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A new definition of fractional derivative

Journal of Computational and Applied Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Roshdi Khalil, Mohammed Al Horani, Abdelrahman Yousef, Mohammad Sababheh   +3 more
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FRACTIONAL DERIVATIVES.

, 2023
The article provides a brief historical overview of the development of fractional computing, and considers special functions of mathematical analysis for working with non-integer derivatives. Caputo and Riemann-Liouville fractional derivatives are considered.
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Optimizing Variational Problems through Weighted Fractional Derivatives

Fractal and Fractional
In this article, we explore a variety of problems within the domain of calculus of variations, specifically in the context of fractional calculus. The fractional derivative we consider incorporates the notion of weighted fractional derivatives along with
Ricardo Almeida
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A Generalized Fractional Calculus of Variations

, 2013
We study incommensurate fractional variational problems in terms of a generalized fractional integral with Lagrangians depending on classical derivatives and generalized fractional integrals and derivatives.
Malinowska, Agnieszka B., Odzijewicz, Tatiana, Torres, Delfim F. M.   +2 more
core  

Analyzing Riemann-Liouville constraints in second-order Lagrangian fractional electrodynamic models.

PLoS ONE
This study used second-order fractional derivatives to constrain singular Lagrangians to construct comprehensive Hamilton-Dirac equations. Notable contributions include resolving the difficulties associated with fractional derivatives.
Yazen M Alawaideh, Bashar M Al-Khamiseh, Isaac Kwasi Adu   +2 more
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Fractional Systems with Multi-Parameters Fractional Derivatives

International Journal of Theoretical Physics
Abstract Recently, a generalization of fractional variational formulations in terms of multiparameter fractional derivatives was introduced by Agrawal and Muslih. This treatment can be used to obtain the Lagrangian and Hamiltonian equations of motion.
Muslih, Sami I., Agrawal, Om P., Baleanu, Dumitru   +2 more
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On fractional derivatives with generalized Mittag-Leffler kernels

Advances in Difference Equations, 2018
Fractional derivatives with three parameter generalized Mittag-Leffler kernels and their properties are studied. The corresponding integral operators are obtained with the help of Laplace transforms.
Thabet Abdeljawad, Dumitru Baleanu
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Fractal Derivatives, Fractional Derivatives and q-Deformed Calculus. [PDF]

Entropy (Basel), 2023
Deppman A, Megías E, Pasechnik R.
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Time fractional IHCP with Caputo fractional derivatives

Computers & Mathematics with Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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