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Linear Stationary Fractional Differential Equations
Fractional Calculus and Applied Analysis, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nosov, Valeriy +1 more
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Fractional Opial Type Inequalities and Fractional Differential Equations
Results in Mathematics, 2002The authors prove various versions of the weighted Opial inequality of the general form \[ \int_a^b|D^{\nu_1}f(x)|^\alpha |D^{\nu_2}f(x)|^\beta q(x) dx \leq K \left(\int_a^b|D^{\nu_1}f(x)|^\delta|D^{\nu_2}f(x)|^\varepsilon p(x) dx \right)^\zeta \] and give their application to uniqueness theorems for a Cauchy type problem for a certain linear ...
Anastassiou, George A. +1 more
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IEEE Transactions on Image Processing, 2010
In this paper, we intend to implement a class of fractional differential masks with high-precision. Thanks to two commonly used definitions of fractional differential for what are known as GrUmwald-Letnikov and Riemann-Liouville, we propose six fractional differential masks and present the structures and parameters of each mask respectively on the ...
Yi-Fei, Pu, Ji-Liu, Zhou, Xiao, Yuan
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In this paper, we intend to implement a class of fractional differential masks with high-precision. Thanks to two commonly used definitions of fractional differential for what are known as GrUmwald-Letnikov and Riemann-Liouville, we propose six fractional differential masks and present the structures and parameters of each mask respectively on the ...
Yi-Fei, Pu, Ji-Liu, Zhou, Xiao, Yuan
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International Journal of Applied and Computational Mathematics, 2018
The authors apply fractional backward difference formulae approaches to provide a numerical solution of some basic linear delay equations of fractional order. They provide a classical stability analysis of the resulting difference schemes and present diagrams illustrating the stability regions. Numerical examples, chosen so that the solution is smooth,
Heris, Mahdi Saedshoar, Javidi, Mohammad
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The authors apply fractional backward difference formulae approaches to provide a numerical solution of some basic linear delay equations of fractional order. They provide a classical stability analysis of the resulting difference schemes and present diagrams illustrating the stability regions. Numerical examples, chosen so that the solution is smooth,
Heris, Mahdi Saedshoar, Javidi, Mohammad
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Fractional Differential Equations in Electrochemistry
Civil-Comp Proceedings, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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