Results 61 to 70 of about 39,478 (331)

Mellin transforms of generalized fractional integrals and derivatives [PDF]

Applied Mathematics and Computation, 2015
We obtain the Mellin transforms of the generalized fractional integrals and derivatives that generalize the Riemann-Liouville and the Hadamard fractional integrals and derivatives. We also obtain interesting results, which combine generalized $δ_{r,m}$ operators with generalized Stirling numbers and Lah numbers.
openaire   +2 more sources

The Lamb-Bateman integral equation and the fractional derivatives [PDF]

Fractional Calculus and Applied Analysis, 2011
3 pages; revised version (misprints corrected, acknowledgements added)
Danilo Babusci, Giuseppe Dattoli, SACCHETTI, Dario   +2 more
openaire   +3 more sources

Nonlinear Integral Inequalities Involving Tempered Ψ-Hilfer Fractional Integral and Fractional Equations with Tempered Ψ-Caputo Fractional Derivative

Fractal and Fractional, 2023
In this paper, the nonlinear version of the Henry–Gronwall integral inequality with the tempered Ψ-Hilfer fractional integral is proved. The particular cases, including the linear one and the nonlinear integral inequality of this type with multiple tempered Ψ-Hilfer fractional integrals, are presented as corollaries.
Milan Medveď, Michal Pospíšil, Eva Brestovanská   +2 more
openaire   +2 more sources

Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation

FEBS Letters, EarlyView.
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe, Tanmay Kumar Mohanty, Rashna Bhandari, Dorothea Fiedler   +3 more
wiley   +1 more source

Existence and Stability Results for Differential Equations with a Variable-Order Generalized Proportional Caputo Fractional Derivative

Mathematics
An initial value problem for a scalar nonlinear differential equation with a variable order for the generalized proportional Caputo fractional derivative is studied. We consider the case of a piecewise constant variable order of the fractional derivative.
Donal O’Regan, Ravi P. Agarwal, Snezhana Hristova, Mohamed I. Abbas   +3 more
doaj   +1 more source

Fractional diffusions with time-varying coefficients

, 2015
This paper is concerned with the fractionalized diffusion equations governing the law of the fractional Brownian motion $B_H(t)$. We obtain solutions of these equations which are probability laws extending that of $B_H(t)$.
Dimovski I., Enzo Orsingher, Federico Polito, Fujita Y., Kilbas A. A., Kilbas A. A., Kilbas A. A., Kilbas A. A., Mainardi F., Martinez Carracedo C., McBride A. C., Orsingher E., Roberto Garra, Schneider W. R.   +13 more
core   +1 more source

Substrate specificity of Burkholderia pseudomallei multidrug transporters is influenced by the hydrophilic patch in the substrate‐binding pocket

FEBS Letters, EarlyView.
Multidrug transporters BpeB and BpeF from the Gram‐negative pathogen Burkholderia pseudomallei have a hydrophilic patch in their substrate‐binding pocket. Drug susceptibility tests and growth curve analyses using an Escherichia coli recombinant expression system revealed that the hydrophilic patches of BpeB and BpeF are involved in the substrate ...
Ui Okada, Satoshi Murakami
wiley   +1 more source

A certain class of Laplace transforms with applications to reaction and reaction-diffusion equations

, 2007
A class of Laplace transforms is examined to show that particular cases of this class are associated with production-destruction and reaction-diffusion problems in physics, study of differences of independently distributed random variables and the ...
A. M. Mathai, A.A. Kilbas, A.M. Mathai, A.M. Mathai, A.M. Mathai, A.M. Mathai, A.M. Mathai, B.I. Henry, B.I. Henry, B.I. Henry, C. Tsallis, C. Tsallis, G. Nicolis, H. Haken, H. J. Haubold, H. Wilhelmsson, H.J. Haubold, H.J. Haubold, K.K. Jose, K.K. Manne, R. K. Saxena, R.K. Saxena, R.M. Kulsrud, V.V. Uchaikin   +23 more
core   +1 more source

Some Fractional Integral and Derivative Formulas Revisited

Mathematics
In the most common literature about fractional calculus, we find that Dtαaft=It−αaft is assumed implicitly in the tables of fractional integrals and derivatives. However, this is not straightforward from the definitions of Itαaft and Dtαaft. In this sense, we prove that Dt0ft=It−α0ft is true for ft=tν−1logt, and ft=eλt, despite the fact that these ...
Juan Luis González-Santander, Francesco Mainardi   +1 more
openaire   +4 more sources

Time after time – circadian clocks through the lens of oscillator theory

FEBS Letters, EarlyView.
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo, Carolin Ector, Hanspeter Herzel   +2 more
wiley   +1 more source