Results 81 to 90 of about 6,726 (311)

The numerical solution of fractional differential equations: Speed versus accuracy [PDF]

open access: yes, 2003
This paper discusses the development of efficient algorithms for a certain fractional differential equation.Manchester Centre for Computational ...
Ford, Neville J., Simpson, A. Charles
core  

Vector-valued extensions for fractional integrals of Laguerre expansions

open access: yes, 2018
We prove some vector-valued inequalities for fractional integrals defined for several orthonormal systems of Laguerre functions. On the one hand, we obtain weighted Lp-Lq vector-valued extensions, in a multidimensional setting, for negative powers of the
Luz Roncal   +3 more
core   +1 more source

Variable-Order Fractional Calculus: from Old to New Approaches

open access: yes, 2023
Different approaches to introduce fractional derivatives and integrals of variable order have been proposed. The majority of these operators are obtained by replacing the constant order with some function in the time-domain formulation of the usual ...
Garrappa R., Giusti A., Mainardi F.
core   +1 more source

ON GENERALIZED FRACTIONAL INTEGRALS

open access: yesTaiwanese Journal of Mathematics, 2001
The author introduces generalized fractional integrals and extends the Hardy-Littlewood-Sobolev theorem to Orlicz spaces. He also investigates the boundedness of generalized fractional integrals from Orlicz spaces to \(\text{BMO}_\varphi(\mathbb{R}^n)\) and from \(\text{BMO}_\varphi(\mathbb{R}^n)\) to \(\text{BMO}_\psi(\mathbb{R}^n)\), where \(\text ...
openaire   +4 more sources

Fractional integration and data frequency [PDF]

open access: yesJournal of Statistical Computation and Simulation, 2009
This paper examines the robustness of fractional integration estimates to different data frequencies. We show by means of Monte Carlo experiments that if the number of differences is an integer value (e.g. 0 or 1), there is no distortion when data are collected at wider intervals; however, if it is a fractional value, the distortion increases as the ...
Luis A. Gil-Alana, Guglielmo M. Caporale
openaire   +2 more sources

An unexpected alternative viologen electron mediator site in tungsten‐containing formate dehydrogenase

open access: yesFEBS Letters, EarlyView.
An unexpected alternative interaction site for ethyl viologen was identified in formate dehydrogenase 1 from Methylorubrum extorquens. Combined mutagenesis, kinetic analysis, and docking revealed that aromatic residues near an iron–sulfur cluster enable flavin mononucleotide‐independent electron transfer, offering a framework for engineering improved ...
Eleni G. Poloniataki, Yong Hwan Kim
wiley   +1 more source

New version of midpoint-type inequalities for co-ordinated convex functions via generalized conformable integrals

open access: yesBoundary Value Problems
In the current research, some midpoint-type inequalities are generalized for co-ordinated convex functions with the help of generalized conformable fractional integrals.
Mehmet Eyüp Kiriş   +4 more
doaj   +1 more source

Representation and Weak Convergence of Stochastic Integrals with Fractional Integrator Processes [PDF]

open access: yes
This paper considers the asymptotic distribution of the covariance of a nonstationary fractionally integrated process with the stationary increments of another such process - possibly, itself.
James Davidson, Nigar Hashimzade
core  

Inequalities Pertaining Fractional Approach through Exponentially Convex Functions

open access: yesFractal and Fractional, 2019
In this article, certain Hermite-Hadamard-type inequalities are proven for an exponentially-convex function via Riemann-Liouville fractional integrals that generalize Hermite-Hadamard-type inequalities.
Saima Rashid   +2 more
doaj   +1 more source

Network divergence analysis identifies adaptive gene modules and two orthogonal vulnerability axes in pancreatic cancer

open access: yesMolecular Oncology, EarlyView.
Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson   +9 more
wiley   +1 more source

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