Results 71 to 80 of about 161,465 (191)

Economic Interpretation of Fractional Derivatives [PDF]

Progress in Fractional Differentiation and Applications, 2017
10 pages, 2 figures ...
Tarasova, Valentina V., Tarasov, Vasily E.   +1 more
openaire   +2 more sources

Theory Analysis of Left-Handed Grünwald-Letnikov Formula with 0<α<1 to Detect and Locate Singularities

Abstract and Applied Analysis, 2014
We study fractional-order derivatives of left-handed Grünwald-Letnikov formula with ...
Shaoxiang Hu, Ping Liang
doaj   +1 more source

Time-Fractional Optimal Control of Initial Value Problems on Time Scales

, 2019
We investigate Optimal Control Problems (OCP) for fractional systems involving fractional-time derivatives on time scales. The fractional-time derivatives and integrals are considered, on time scales, in the Riemann--Liouville sense.
A Ahmadkhanlu, A Cabada, AB Malinowska, B Bayour, Benaoumeur Bayour, Benaoumeur Bayour, D Baleanu, D Baleanu, D Idczak, D Mozyrska, E Hernández, EG Bajlekova, ER Nwaeze, G Mophou, GM Bahaa, GM Mophou, GSF Frederico, GSF Frederico, I Podlubny, K Mekhalfi, L Bourdin, M Bohner, M Bohner, MC Caputo, Monika Dryl, Moulay Rchid Sidi Ammi, Moulay Rchid Sidi Ammi, N Benkhettou, N Benkhettou, N Benkhettou, N Benkhettou, N Özdemir, NRO Bastos, NRO Bastos, NRO Bastos, O Lavrova, OP Agrawal, OP Agrawal, R Almeida, RP Agarwal, RP Agarwal, S Abbas, T Abdeljawad, Thabet Abdeljawad   +43 more
core   +1 more source

Description of Mechanical Movements Using Fractional Order Derivatives is not Objective [PDF]

INCAS Bulletin, 2019
The papers deals with the objectivity in science. It aims at objectively describing the material particle movement and the movement of a continuum body.
Agneta M. BALINT, Stefan BALINT
doaj   +1 more source

Towards Fractional Gradient Elasticity

, 2013
An extension of gradient elasticity through the inclusion of spatial derivatives of fractional order to describe power-law type of non-locality is discussed. Two phenomenological possibilities are explored.
Aifantis, Elias C., Tarasov, Vasily E.
core   +1 more source

Calculus of variations with fractional derivatives and fractional integrals

Applied Mathematics Letters, 2009
We prove Euler-Lagrange fractional equations and sufficient optimality conditions for problems of the calculus of variations with functionals containing both fractional derivatives and fractional integrals in the sense of Riemann-Liouville.
Ricardo Almeida 0001, Delfim F. M. Torres   +1 more
openaire   +4 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

A Factory of Fractional Derivatives

Symmetry
This paper aims to demonstrate that, beyond the small world of Riemann-Liouville and Caputo derivatives, there is a vast and rich world with many derivatives suitable for specific problems and various theoretical frameworks to develop, corresponding to the different paths taken.
openaire   +1 more source

Nonholonomic Constraints with Fractional Derivatives

, 2006
We consider the fractional generalization of nonholonomic constraints defined by equations with fractional derivatives and provide some examples.
Bloch A, Caputo M, Caputo M, Caputo M, Carpinteri A, Chetaev N G, Dobronravov V V, Dzherbashyan M M, Erdelyi A, Frenkel D, George M Zaslavsky, Gorenflo R, Hilfer R, Korabel N, Le Mehaute A, Lutzen J, Montroll E W, Nigmatullin R R, Nose S, Oldham K B, Pars L A, Podlubny I, Rumiantsev V V, Samko S G, Tarasov V E, Tarasov V E, Tarasov V E, Tarasov V E, Tarasov V E, Tarasov V E, Tarasov V E, Vasily E Tarasov, Zaslavsky G M, Zaslavsky G M   +33 more
core   +2 more sources

A Fractional-Order Chemical System: Numerical Analysis with Distinct Variable-Order Derivatives

Journal of Mathematical Sciences and Modelling
Fractional calculus models complicated systems that exhibit memory effects, showing much greater potential than classical integer-order derivatives in modeling chaotic systems.
Ughur Budaq, Emrullah Yaşar
doaj   +1 more source