Results 31 to 40 of about 1,408 (174)
Advances in Difference Equations, 2018 In this paper, we investigate a fully implicit finite difference scheme for solving the time fractional advection–diffusion equation. The time fractional derivative is estimated using Caputo’s formulation, and the spatial derivatives are discretized ...
Syed Tauseef Mohyud-Din +4 more
doaj +1 more source
Piecewise mABC fractional derivative with an application
AIMS Mathematics, 2023 In this study, we give the notion of a piecewise modified Atangana-Baleanu-Caputo (mABC) fractional derivative and apply it to a tuberculosis model. This novel operator is a combination of classical derivative and the recently developed modified Atangana-
Hasib Khan +3 more
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Fractional Calculus for Continuum Mechanics - anisotropic non-locality
, 2015 In this paper the generalisation of previous author's formulation of fractional continuum mechanics to the case of anisotropic non-locality is presented. The considerations include the review of competitive formulations available in literature.
Sumelka, Wojciech
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Fractional Euler-Lagrange differential equations via Caputo derivatives [PDF]
, 2011 We review some recent results of the fractional variational calculus. Necessary optimality conditions of Euler-Lagrange type for functionals with a Lagrangian containing left and right Caputo derivatives are given.
AA Kilbas +29 more
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Solvability of Some Fractional Boundary Value Problems with a Convection Term
Discrete Dynamics in Nature and Society, 2019 This paper is devoted to the research of some Caputo’s fractional derivative boundary value problems with a convection term. By the use of some fixed-point theorems and the properties of Green function, the existence results of at least one or triple ...
Yongfang Wei, Zhanbing Bai
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, 2018 In this paper, we propose and analyze a spectral Chebyshev-Legendre approximation for fractional order integro-differential equations of Fredholm type. The fractional derivative is described in the Caputo sense.
Babolian, E. +3 more
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Mathematics, 2021 The fractional generalization of the Ambartsumian delay equation with Caputo’s fractional derivative is considered. The Ambartsumian delay equation is very difficult to be solved neither in the case of ordinary derivatives nor in the case of fractional ...
Weam Alharbi, Snezhana Hristova
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Efficient schemes on solving fractional integro-differential equations [PDF]
, 2018 Fractional integro-differential equation (FIDE) emerges in various modelling of physical phenomena. In most cases, finding the exact analytical solution for FIDE is difficult or not possible.
Loh, Jian Rong
core
Fractional Hamilton formalism within Caputo's derivative
, 2006 In this paper we develop a fractional Hamiltonian formulation for dynamic systems defined in terms of fractional Caputo derivatives. Expressions for fractional canonical momenta and fractional canonical Hamiltonian are given, and a set of fractional ...
D. Baleanu +24 more
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Are all meats substitutes? A basket‐and‐expenditure‐based approach
Agribusiness, EarlyView.Abstract This study examines the relationship among animal‐based meat and plant‐based meat alternatives (PBMAs) using a basket‐and‐expenditure‐based choice experiment. In particular, we examine whether animal‐based meat products are substitutes or complements with PBMAs.
Clinton L. Neill, Logan L. Britton
wiley +1 more source