Results 71 to 80 of about 715,675 (203)

On the Rigorous Correspondence Between Operator Fractional Powers and Fractional Derivatives via the Sonine Kernel

Fractal and Fractional
Traditional operational calculus, while intuitive and effective in addressing problems in physical fractal spaces, often lacks the rigorous mathematical foundation needed for fractional operations, sometimes resulting in inconsistent outcomes. To address
Zelin Liu, Xiaobin Yu, Yajun Yin
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On Fractional Symmetric Hahn Calculus

Mathematics, 2019
In this paper, we study fractional symmetric Hahn difference calculus. The new idea of the symmetric Hahn difference operator, the fractional symmetric Hahn integral, and the fractional symmetric Hahn operators of Riemann−Liouville and Caputo types
Nichaphat Patanarapeelert, Thanin Sitthiwirattham   +1 more
doaj   +1 more source

Spectral properties of fractional differentiation operators

Electronic Journal of Differential Equations, 2018
We consider the fractional differentiation operators in a variety of senses. We show that the strong accretive property is the common property of fractional differentiation operators.
Maksim V. Kukushkin
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Fractional operators and applications to fractional martingal

International Journal of Advances in Applied Mathematics and Mechanics, 2018
Summary: In this paper, we use the fractional operators for to give the fractional martingale properties. We give again some examples.
openaire   +2 more sources

Generalized Non-Homogeneous Morrey Spaces And Olsen Inequality [PDF]

, 2008
In this paper, we shall discuss some properties of generalized non-homogeneous Morrey spaces. In addition, we will also prove the Olsen inequality in the non-homogeneous setting.
H. Gunawan, ., I. Sihwaningrum, ., Y. Soeharyadi, ., W. S. Budhi, .   +3 more
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Design and Control of Fractional-Order Systems Based on Fractal Operators

Fractal and Fractional
In recent years, we have abstracted physical fractal space from biological structures and movements within living organisms, revealing the profound intrinsic connections between fractional order time and fractional-dimensional space, and providing ...
Zhimo Jian, Chaoqian Luo, Yajun Yin
doaj   +1 more source

A Local Fractional Variational Iteration Method for Laplace Equation within Local Fractional Operators

Abstract and Applied Analysis, 2013
The local fractional variational iteration method for local fractional Laplace equation is investigated in this paper. The operators are described in the sense of local fractional operators. The obtained results reveal that the method is very effective.
Yong-Ju Yang, Dumitru Baleanu, Xiao-Jun Yang   +2 more
doaj   +1 more source

Fractional variational problems depending on indefinite integrals [PDF]

, 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, Pooseh, S., Almeida, R., Almeida, Ricardo, Delfim F.M. Torres, Shakoor Pooseh, Torres, D.F.M., Ricardo Almeida, Torres, Delfim F. M.   +8 more
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Operator dimension parity fractionalization

Journal of High Energy Physics
A bstract Lorentz invariant quantum field theories (QFTs) with fermions in four spacetime dimensions (4D) have a ℤ 4 symmetry provided there exists a basis of operators in the QFT where all ...
openaire   +3 more sources

Thirtieth Illinois Custom Spray Operators Training School: summaries of presentations [PDF]

, 1978
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Illinois Custom Spray Operators' School
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