Results 41 to 50 of about 1,437,498 (311)

More properties of the proportional fractional integrals and derivatives of a function with respect to another function

, 2020
In this article, we present some new properties of the fractional proportional derivatives of a function with respect to a certain function. We use a modified Laplace transform to find the relation between the derivatives in the Riemann–Liouville setting
F. Jarad, T. Abdeljawad, S. Rashid, Z. Hammouch   +3 more
semanticscholar   +1 more source

Hermite–Hadamard inequality for fractional integrals of Caputo–Fabrizio type and related inequalities

Journal of Inequalities and Applications, 2020
In this article, firstly, Hermite–Hadamard’s inequality is generalized via a fractional integral operator associated with the Caputo–Fabrizio fractional derivative.
M. Gürbüz, A. Akdemi̇r, S. Rashid, E. Set   +3 more
semanticscholar   +1 more source

On Hermite-Hadamard type inequalities for multiplicative fractional integrals

Miskolc Mathematical Notes, 2020
In this study, we first establish two Hermite-Hadamard type inequality for multiplicative (geometric) Riemann-Liouville fractional integrals. Then, by using some properties of multiplicative convex function, we give some new inequalities involving ...
H. Budak, K. Özçelik
semanticscholar   +1 more source

A Cre‐dependent lentiviral vector for neuron subtype‐specific expression of large proteins

FEBS Letters, EarlyView.
We designed a versatile and modular lentivector comprising a Cre‐dependent switch and self‐cleaving 2A peptide and tested it for co‐expression of GFP and a 2.8 kb gene of interest (GOI) in mouse cortical parvalbumin (PV+) interneurons and midbrain dopamine (TH+) neurons.
Weixuan Xue, Sandrine Picaud, Régine Hepp, Stéphanie Pons, Uwe Maskos, Bertrand Lambolez, Ludovic Tricoire   +6 more
wiley   +1 more source

Bounds of Generalized Proportional Fractional Integrals in General Form via Convex Functions and Their Applications

Mathematics, 2020
In this paper, our objective is to apply a new approach to establish bounds of sums of left and right proportional fractional integrals of a general type and obtain some related inequalities. From the obtained results, we deduce some new inequalities for
G. Rahman, T. Abdeljawad, F. Jarad, K. Nisar   +3 more
semanticscholar   +1 more source

Phosphatidylinositol 4‐kinase as a target of pathogens—friend or foe?

FEBS Letters, EarlyView.
This graphical summary illustrates the roles of phosphatidylinositol 4‐kinases (PI4Ks). PI4Ks regulate key cellular processes and can be hijacked by pathogens, such as viruses, bacteria and parasites, to support their intracellular replication. Their dual role as essential host enzymes and pathogen cofactors makes them promising drug targets.
Ana C. Mendes, Guilherme M. Azevedo, Amanda P. Barcellos, Diana Bahia   +3 more
wiley   +1 more source

Explicit evaluations of subfamilies of the hypergeometric function $ _3F_2(1) $ along with specific fractional integrals

AIMS Mathematics
The present study explores the application of hypergeometric functions in evaluating fractional integrals, providing a comprehensive framework to bridge fractional calculus and special functions.
Abdelhamid Zaidi, Saleh Almuthaybiri
doaj   +1 more source

Theory of Functional Connections Extended to Fractional Operators

Mathematics, 2023
The theory of functional connections, an analytical framework generalizing interpolation, was extended and applied in the context of fractional-order operators (integrals and derivatives).
Daniele Mortari, Roberto Garrappa, Luigi Nicolò   +2 more
doaj   +1 more source

Molecular bases of circadian magnesium rhythms across eukaryotes

FEBS Letters, EarlyView.
Circadian rhythms in intracellular [Mg2+] exist across eukaryotic kingdoms. Central roles for Mg2+ in metabolism suggest that Mg2+ rhythms could regulate daily cellular energy and metabolism. In this Perspective paper, we propose that ancestral prokaryotic transport proteins could be responsible for mediating Mg2+ rhythms and posit a feedback model ...
Helen K. Feord, Gerben van Ooijen
wiley   +1 more source

On a Fractional Differential Equation with r-Laplacian Operator and Nonlocal Boundary Conditions

Mathematics, 2022
We study the existence and multiplicity of positive solutions of a Riemann-Liouville fractional differential equation with r-Laplacian operator and a singular nonnegative nonlinearity dependent on fractional integrals, subject to nonlocal boundary ...
Johnny Henderson, Rodica Luca, Alexandru Tudorache   +2 more
doaj   +1 more source