Results 31 to 40 of about 201,097 (279)
Fractional Cauchy problems on bounded domains
, 2008 Fractional Cauchy problems replace the usual first-order time derivative by a fractional derivative. This paper develops classical solutions and stochastic analogues for fractional Cauchy problems in a bounded domain $D\subset\mathbb{R}^d$ with Dirichlet
Meerschaert, Mark M. +2 more
core +4 more sources
On the solution of the space-time fractional cubic nonlinear Schrödinger equation
Results in Physics, 2018 The space–time fractional nonlinear Schrödinger equation is studied based on the modified Riemann–Liouville derivative. The fractional mapping expansion method is used to find analytical solution of this model.
E.A. Yousif +2 more
doaj +1 more source
Numerical approximations for a fully fractional Allen-Cahn equation
, 2020 A finite element scheme for an entirely fractional Allen-Cahn equation with non-smooth initial data is introduced and analyzed. In the proposed nonlocal model, the Caputo fractional in-time derivative and the fractional Laplacian replace the standard ...
Acosta, Gabriel, Bersetche, Francisco
core +1 more source
Advances in Difference Equations, 2018 Here, the concept of a new and interesting Riemann–Liouville type fractional derivative operator is exploited. Treatment of a fractional derivative operator has been made associated with the extended Appell hypergeometric functions of two variables and ...
M. Shadab +2 more
doaj +1 more source
Engineering Science and Technology, an International Journal, 2023 This work develops a new Legendre delay operational matrix based on Legendre polynomial features that are integrated with regard to the Legendre fractional derivative operational matrix in order to solve the issues.
Mays Basim +3 more
doaj +1 more source
Numerical solutions of fractional optimal control with Caputo–Katugampola derivative
Advances in Difference Equations, 2021 In this paper, we present a numerical technique for solving fractional optimal control problems with a fractional derivative called Caputo–Katugampola derivative. This derivative is a generalization of the Caputo fractional derivative.
N. H. Sweilam +2 more
doaj +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Objectives To identify predictors of chronic ITP (cITP) and to develop a model based on several machine learning (ML) methods to estimate the individual risk of chronicity at the timepoint of diagnosis. Methods We analyzed a longitudinal cohort of 944 children enrolled in the Intercontinental Cooperative immune thrombocytopenia (ITP) Study ...
Severin Kasser +6 more
wiley +1 more source
Meshfree numerical integration for some challenging multi-term fractional order PDEs
AIMS Mathematics, 2022 Fractional partial differential equations (PDEs) have key role in many physical, chemical, biological and economic problems. Different numerical techniques have been adopted to deal the multi-term FPDEs.
Abdul Samad , Imran Siddique, Fahd Jarad
doaj +1 more source
A new fractional derivative involving the normalized sinc function without singular kernel
, 2017 In this paper, a new fractional derivative involving the normalized sinc function without singular kernel is proposed. The Laplace transform is used to find the analytical solution of the anomalous heat-diffusion problems. The comparative results between
Baleanu, Dumitru +3 more
core +1 more source
FEBS Letters, EarlyView.In this study, we present the structure of AcrIE8.1, a previously uncharacterized anti‐CRISPR protein that inhibits the type I‐E CRISPR‐Cas system. Through a combination of structural and biochemical analyses, we demonstrate that AcrIE8.1 directly binds to the Cas11 subunit of the Cascade complex to inhibit the CRISPR‐Cas system.
Young Woo Kang, Hyun Ho Park
wiley +1 more source