Results 51 to 60 of about 167,020,740 (264)

Generalized Fractional Integral Operators Involving Mittag-Leffler Function

Abstract and Applied Analysis, 2018
The aim of this paper is to study various properties of Mittag-Leffler (M-L) function. Here we establish two theorems which give the image of this M-L function under the generalized fractional integral operators involving Fox’s H-function as kernel ...
Hafte Amsalu, D. L. Suthar
doaj   +1 more source

Operational Solution of Non-Integer Ordinary and Evolution-Type Partial Differential Equations

Axioms, 2016
A method for the solution of linear differential equations (DE) of non-integer order and of partial differential equations (PDE) by means of inverse differential operators is proposed.
Konstantin V. Zhukovsky, Hari M. Srivastava   +1 more
doaj   +1 more source

Modified special functions: properties, integral transforms and applications to fractional differential equations

Boletim da Sociedade Paranaense de Matemática
In this paper, we defined the modified gamma and beta functions, which involving the generalized M-series at their kernels, and then defined the modified Gauss and confluent hypergeometric functions by using the modified beta function. Furthermore, we presented some of their properties such that, integral representations, summation formulas and ...
Enes Ata, I. Onur Kiymaz
openaire   +4 more sources

Certain Laplace transforms of convolution type integrals involving product of two special _pF_p functions

Demonstratio Mathematica, 2018
Abstract Recently the authors obtained several Laplace transforms of convolution type integrals involving Kummer’s function 1F1 [Appl. Anal. Discrete Math., 2018, 12(1), 257-272]. In this paper, the authors aim at presenting several new and interesting Laplace transforms of convolution type integrals involving product of two special ...
Milovanović Gradimir V., Parmar Rakesh K., Rathie Arjun K.   +2 more
openaire   +3 more sources

Structural and biochemical analysis of a B12 superbinder

FEBS Letters, EarlyView.
BtuG proteins are vitamin B12 scavengers in Bacteroides thetaiotaomicron, a dominant human gut bacterium. We present crystal structures of three BtuG homologs bound to cobalamin and its precursor cobinamide, revealing picomolar binding affinities, among the highest known for any natural protein.
Jose M. Martinez Felices, Jacob J. Whittaker, Dirk J. Slotboom, Albert Guskov   +3 more
wiley   +1 more source

Inequalities for Beta and Gamma Functions Via Some Classical and New Integral Inequalities [PDF]

, 1999
In this survey paper we present the natural application of certain integral inequalities such as, Chebychev's inequality for synchronous and asynchronous mappings, Holder's inequality and Gruss' and Ostrowski's inequalities for the celebrated Euler's ...
Agarwal, R. P, S. S. Dragomir, R P Agarwal, Agarwal, R.P., Dragomir, S.S., N S Barnett, Dragomir, Sever S, Barnett, Neil S, Barnett, N.S., S S Dragomir, R. P. Agarwal, N. S. Barnett   +11 more
core   +5 more sources

L‐aspartate oxidase provides new insights into fumarate reduction in anaerobic darkness in Synechocystis sp. PCC6803

FEBS Letters, EarlyView.
Synechocystis strains deficient in succinate dehydrogenase (SDH) secrete more succinate than the WT under dark anaerobic conditions, supporting that SDH then primarily acts as SDH, not as a fumarate reductase. L‐aspartate oxidase (Laspo) from Synechocystis is functional under anaerobic conditions, reducing fumarate to succinate.
Kateryna Kukil, Jeffrey A. Hawkes, Cecilia Blikstad, Pia Lindberg   +3 more
wiley   +1 more source

Hyperbolic boundary layer in the vicinity of dilatational and shear wave fronts in shells of revolution of arbitrary shape [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика
The presented paper is devoted to completing the development of an asymptotic method for solving boundary value problems of the hyperbolic boundary layer in elastic shells of revolution of arbitrary shape under three types of non-self-balanced end shock ...
Kirillova, Irina V., Kossovich, Leonid Yurevich   +1 more
doaj   +1 more source

Artificial molecular machines and motors—Design and control of nanoscale motion

FEBS Letters, EarlyView.
Molecules are constantly moving because of thermal fluctuations, but random motion alone cannot be exploited to perform directional tasks. Artificial molecular machines use chemical, electrical, or light energy to bias this motion. Molecular shuttles, rotary motors, and supramolecular pumps illustrate how nanoscale movement can be controlled and ...
Leonardo Andreoni, Alberto Credi
wiley   +1 more source

On Symmetrical Sonin Kernels in Terms of Hypergeometric-Type Functions

Mathematics
In this paper, a new class of kernels of integral transforms of the Laplace convolution type that we named symmetrical Sonin kernels is introduced and investigated.
Yuri Luchko
doaj   +1 more source