Results 41 to 50 of about 196,624 (331)
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
, 2018 In this note we show how a initial value problem for a relaxation process governed by a differential equation of non-integer order with a constant coefficient may be equivalent to that of a differential equation of the first order with a varying ...
Mainardi, Francesco
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Stochastic models associated to a Nonlocal Porous Medium Equation [PDF]
, 2018 The nonlocal porous medium equation considered in this paper is a degenerate nonlinear evolution equation involving a space pseudo-differential operator of fractional order.
De Gregorio, Alessandro
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Lie group classifications and exact solutions for time-fractional Burgers equation
, 2010 Lie group method provides an efficient tool to solve nonlinear partial differential equations. This paper suggests a fractional Lie group method for fractional partial differential equations.
A.B. Malinowska +9 more
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Maximum Principle for General Controlled Systems Driven by Fractional Brownian Motions [PDF]
, 2012 We obtain a maximum principle for stochastic control problem of general controlled stochastic differential systems driven by fractional Brownian motions (of Hurst parameter $H>1/2$). This maximum principle specifies a system of equations that the optimal
Han, Yuecai, Hu, Yaozhong, Song, Jian
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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
The Extended Trial Equation Method for Some Time Fractional Differential Equations
Discrete Dynamics in Nature and Society, 2013 Nonlinear fractional partial differential equations have been solved with the help of the extended trial equation method. Based on the fractional derivative in the sense of modified Riemann-Liouville derivative and traveling wave transformation, the ...
Yusuf Pandir +2 more
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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 +8 more
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Journal of Harbin University of Science and TechnologyThe study of the properties for fractional stochastic differential equation is one of the hot directions in the field of mathematics over the years.
YAO Huili, LIU Mengran, WANG Jingnan
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On matrix fractional differential equations
Advances in Mechanical Engineering, 2017 The aim of this article is to study the matrix fractional differential equations and to find the exact solution for system of matrix fractional differential equations in terms of Riemann–Liouville using Laplace transform method and convolution product to
Adem Kılıçman, Wasan Ajeel Ahmood
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