Results 51 to 60 of about 760,461 (313)

The closed-form solution by the exponential rational function method for the nonlinear variable-order fractional differential equations

Frontiers in Physics
The symmetry features of fractional differential equations allow effective explanation of physical and biological phenomena in nature. The generalized form of the fractional differential equations is the variable-order fractional differential equations ...
Mashael M. ALBaidani, Umair Ali, Abdul Hamid Ganie   +2 more
doaj   +1 more source

Improved ()-Expansion Method for the Space and Time Fractional Foam Drainage and KdV Equations

Abstract and Applied Analysis, 2013
The fractional complex transformation is used to transform nonlinear partial differential equations to nonlinear ordinary differential equations. The improved ()-expansion method is suggested to solve the space and time fractional foam drainage and KdV ...
Ali Akgül, Adem Kılıçman, Mustafa Inc   +2 more
doaj   +1 more source

Existence of solutions for double-order Hilfer fractional boundary value problems at resonance

Journal of Hebei University of Science and Technology, 2022
In order to expand the basic theory of boundary value problems of fractional differential equations,the existence of solutions of double-order Hilfer fractional differential equations under Riemann-Stieltjes integral boundary conditions under resonance ...
Fanmeng MENG, Weihua JIANG, Chunjing GUO
doaj   +1 more source

Perturbed Akbari-Ganji Method for the Solution of Singular Multi-Order Fractional Differential Equations

Jurnal Diferensial
Differential equations, which involve derivatives, are fundamental in describing various physical and engineering phenomena. Newton’s second law of motion provides a basic example, which illustrates how force, mass, and acceleration relate through ...
Ajimot Folasade Adebisi, Wasiu Adewale Oseni   +1 more
doaj   +1 more source

Fractional differential equations solved by using Mellin transform

, 2014
In this paper, the solution of the multi-order differential equations, by using Mellin Transform, is proposed. It is shown that the problem related to the shift of the real part of the argument of the transformed function, arising when the Mellin ...
Butera, Salvatore, Di Paola, Mario
core   +1 more source

Fractional Equations of Curie-von Schweidler and Gauss Laws

, 2008
The dielectric susceptibility of most materials follows a fractional power-law frequency dependence that is called the "universal" response. We prove that in the time domain this dependence gives differential equations with derivatives and integrals of ...
Barrett J H, Curie J, Curie J, Debye P, Debye P, Debye P, Erdelyi A, Gorenflo R, Gorenflo R, Jonscher A K, Jonscher A K, Jonscher A K, Kempfle S, Kilbas A A, Podlubny I, Ramakrishnan T V, Samko S G, Tuncer E, Vasily E Tarasov, von Schweidler E   +19 more
core   +3 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

Structural instability impairs function of the UDP‐xylose synthase 1 Ile181Asn variant associated with short‐stature genetic syndrome in humans

FEBS Letters, EarlyView.
The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li, Pedro A. Sánchez‐Murcia, Bernd Nidetzky   +2 more
wiley   +1 more source

Multivariate fractional Poisson processes and compound sums

, 2015
In this paper we present multivariate space-time fractional Poisson processes by considering common random time-changes of a (finite-dimensional) vector of independent classical (non-fractional) Poisson processes.
Beghin, Luisa, Macci, Claudio
core   +1 more source

Cell wall target fragment discovery using a low‐cost, minimal fragment library

FEBS Letters, EarlyView.
LoCoFrag100 is a fragment library made up of 100 different compounds. Similarity between the fragments is minimized and 10 different fragments are mixed into a single cocktail, which is soaked to protein crystals. These crystals are analysed by X‐ray crystallography, revealing the binding modes of the bound fragment ligands.
Kaizhou Yan, Mathew Stanley, Olawale Raimi, Andrew T. Ferenbach, Helge C Dorfmueller, Daan M. F. van Aalten   +5 more
wiley   +1 more source