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FRACTAL RADIOPHYSICS. Part 3. FRACTIONAL CALCULUS IN ELECTRODYNAMICS [PDF]

open access: yesRadio Physics and Radio Astronomy
Subject and Purpose. At the beginning of the 21st century, a fundamentally new scientific direction was formed, currently known as fractal radiophysics.
O. V. Lazorenko, L. F. Chernogor
doaj   +1 more source

Linking fractional calculus to real data

open access: yes, 2013
I will review some well-known theoretical findings about fractional calculus and, in particular, the links between fractal intermittency, the Continuous Time Random Walk (CTRW) model and the emergence of Fractional Diffu- sion Equations (FDE) for ...
Paradisi P
core  

On fractional calculus with analytic kernels with respect to functions

open access: yes, 2021
Many different types of fractional calculus have been proposed, which can be organised into some general classes of operators. For a unified mathematical theory, results should be proved in the most general possible setting.
Djida, Jean-Daniel   +3 more
core   +1 more source

Transcripts enriched in codons that trigger P‐site tRNA‐mediated mRNA decay possess stable mRNA

open access: yesFEBS Open Bio, EarlyView.
PTMD codons were first described by Mendel et al. as mediators of an mRNA decay pathway dependent on the human protein CNOT3, homologous to yeast Not5. Our findings confirm that PTMD codons destabilize transcripts; however, unlike in yeast, the human pathway specifically targets and slightly destabilizes primarily stable mRNAs.
Rodolfo Lopes Carneiro   +1 more
wiley   +1 more source

Generalized fractional integration of the \overline{H}-function

open access: yesLe Matematiche, 2012
A significantly large number of earlier works on the subject of fractional calculus give interesting account of the theory and applications of fractional calculus operators in many different areas of mathematical analysis (such as ordinary and partial ...
Praveen Agarwal
doaj  

Fractional deterministic and stochastic calculus

open access: yes, 2023
Fractional calculus has emerged as a powerful and effective mathematical tool in the study of several phenomena in science and engineering. This text addressed to researchers, graduate students, and practitioners combines deterministic fractional ...
Mishura Y., Pirozzi E., Ascione G.
core   +1 more source

Treatment with KCL‐286, a first‐in‐class retinoic acid receptor‐β (RARβ) agonist, ameliorates neuronal DNA damage and inflammation in a mouse model of Alzheimer's disease

open access: yesFEBS Open Bio, EarlyView.
Repair of neuronal DNA damage in Alzheimer's disease by KCL‐286. (A) Amyloid‐β oligomers and plaques impair neuronal DNA repair pathways, leading to DNA double‐strand breaks and glial activation. (B) KCL‐286 activates RARβ/RXR signalling via retinoic acid response elements (RAREs), associated with increased BRCA1 expression, enhanced DNA repair and ...
Natasha Hill   +6 more
wiley   +1 more source

Optimizing Variational Problems through Weighted Fractional Derivatives

open access: yesFractal 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
doaj   +1 more source

Certain k-fractional calculus operators and image formulas of k-Struve function

open access: yes, 2020
In this article, the Saigo's k-fractional order integral and derivative operators involving k-hypergeometric function in the kernel are applied to the k-Struve function; outcome are expressed in the term of k-Wright function, which are used to ...
UÇAR, FARUK
core   +1 more source

Generalising the fractional calculus with Sonine kernels via conjugations

open access: yes, 2023
Many different types of fractional calculus are defined by various kernel functions within the general class of Sonine-type kernels, while many others are given by conjugating the usual fractional calculus with invertible linear operators, such as ...
Arran Fernandez   +3 more
core   +1 more source

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