The approximate solutions of Fredholm integral equations on Cantor sets within local fractional operators [PDF]
Sahand Communications in Mathematical Analysis, 2016 In this paper, we apply the local fractional Adomian decomposition and variational iteration methods to obtain the analytic approximate solutions of Fredholm integral equations of the second kind within local fractional derivative operators.
Hassan Kamil Jassim
doaj
, 2023 : In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional calculus, we find the solution of some type of improper fractional integral.
Chii-Huei Yu
core +1 more source
Image Denoising of Adaptive Fractional Operator Based on Atangana–Baleanu Derivatives
Journal of Mathematics, 2021 A fractional integral operator can preserve an image edge and texture details as a denoising filter. Recently, a newly defined fractional-order integral, Atangana–Baleanu derivatives (ABC), has been used successfully in image denoising.
Xiaoran Lin +3 more
doaj +1 more source
Fractional boundary value problems: Analysis and numerical methods [PDF]
, 2011 This is the author's PDF of an article published in Fractional Calculus and Applied Analysis 2011. The original publication is available at www.springerlink.comThis journal article discusses nonlinear boundary value problems.Fundacao para a Ciencia e ...
M. Luísa Morgado +3 more
core +1 more source
Journal of Inequalities and Applications, 2022 In this paper, we present a generalized Jensen-type inequality for generalized harmonically convex function on the fractal sets, and a generalized Jensen–Mercer inequality involving local fractional integrals is obtained.
Saad Ihsan Butt +3 more
doaj +1 more source
The analytical solutions for Volterra integro-differential equations within Local fractional operators by Yang-Laplace transform [PDF]
Sahand Communications in Mathematical Analysis, 2017 In this paper, we apply the local fractional Laplace transform method (or Yang-Laplace transform) on Volterra integro-differential equations of the second kind within the local fractional integral operators to obtain the analytical approximate solutions.
Hassan Kamil Jassim
doaj
Some Further Generalizations of Hölder's Inequality and Related Results on Fractal Space
Abstract and Applied Analysis, 2014 We establish some new generalizations and refinements of the local fractional integral Hölder’s inequality and some related results on fractal space.
Guang-Sheng Chen +3 more
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A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s Inequality
Abstract and Applied Analysis, 2014 Anderson's inequality (Anderson, 1958) as well as its improved version given by Fink (2003) is known to provide interesting examples of integral inequalities.
Wei Wei +5 more
doaj +1 more source
On Existence and Attractivity of Ψ-Hilfer Hybrid Fractional-order Langevin Differential Equations
International Journal of Analysis and Applications, 2023 The work reported in this article studies the equivalence relationship between fractional integral equation and Ψ-Hilfer Hybrid Langevin Differential Equations of fractional order with nonlocal initial conditions, and then we use this relationship to ...
Savita Rathee, Yogeeta Narwal
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Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
FEBS Letters, EarlyView.Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley +1 more source