Results 41 to 50 of about 184,534 (322)

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

Analysis of Fractional Differential Equations

Journal of Mathematical Analysis and Applications, 2002
The authors discuss the existence, uniqueness and structural stability of solutions to nonlinear differential equations of fractional order. They take the differential operators in the Riemann-Liouville sense and the initial conditions are specified according to Caputo's suggestion, in order to allow for an interpretation in a physically meaningful way.
Diethelm, Kai, Ford, Neville J.
openaire   +3 more sources

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

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

Random walk models associated with distributed fractional order differential equations

, 2006
In this paper the multi-dimensional random walk models governed by distributed fractional order differential equations and multi-term fractional order differential equations are constructed. The scaling limits of these random walks to a diffusion process
Steinberg, Stanly, Umarov, Sabir
core   +2 more sources

The Caenorhabditis elegans DPF‐3 and human DPP4 have tripeptidyl peptidase activity

FEBS Letters, EarlyView.
The dipeptidyl peptidase IV (DPPIV) family comprises serine proteases classically defined by their ability to remove dipeptides from the N‐termini of substrates, a feature that gave the family its name. Here, we report the discovery of a previously unrecognized tripeptidyl peptidase activity in DPPIV family members from two different species.
Aditya Trivedi, Rajani Kanth Gudipati
wiley   +1 more source

Crosstalk between the ribosome quality control‐associated E3 ubiquitin ligases LTN1 and RNF10

FEBS Letters, EarlyView.
Loss of the E3 ligase LTN1, the ubiquitin‐like modifier UFM1, or the deubiquitinating enzyme UFSP2 disrupts endoplasmic reticulum–ribosome quality control (ER‐RQC), a pathway that removes stalled ribosomes and faulty proteins. This disruption may trigger a compensatory response to ER‐RQC defects, including increased expression of the E3 ligase RNF10 ...
Yuxi Huang, Satoshi Hashimoto, Sota Ito, Chisato Kikuguchi, Miho Hoshi, Kiyoshi Yamaguchi, Yoichi Furukawa, Toru Suzuki, Toshifumi Inada   +8 more
wiley   +1 more source

Real‐time assay of ribonucleotide reductase activity with a fluorescent RNA aptamer

FEBS Letters, EarlyView.
Ribonucleotide reductases (RNR) synthesize DNA building blocks de novo, making them crucial in DNA replication and drug targeting. FLARE introduces the first single‐tube real‐time coupled RNR assay, which enables isothermal tracking of RNR activity at nanomolar enzyme levels and allows the reconstruction of allosteric regulatory patterns and rapid ...
Jacopo De Capitani, Noemi E. Nwosu, Viktoria Gocke, Müge Kasanmascheff, Hannes Mutschler   +4 more
wiley   +1 more source

Fractional Dynamical Systems

, 2013
In this paper the author presents the results of the preliminary investigation of fractional dynamical systems based on the results of numerical simulations of fractional maps.
Edelman, Mark
core   +1 more source

Converting fractional differential equations into partial differential equations

Thermal Science, 2012
A transform is suggested in this paper to convert fractional differential equations with the modified Riemann-Liouville derivative into partial differential equations, and it is concluded that the fractional order in fractional differential equations is equivalent to the fractal dimension.
Ji-Huan He, Zheng-Biao Li
openaire   +1 more source