Results 31 to 40 of about 1,372 (141)

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, AB Malinowska, AB Malinowska, AB Malinowska, AB Malinowska, B Brunt van, D Baleanu, D Baleanu, D Baleanu, D Mozyrska, D Mozyrska, DFM Torres, F Riewe, GSF Frederico, GSF Frederico, GSF Frederico, I Podlubny, NRO Bastos, NRO Bastos, OP Agrawal, R Almeida, R Almeida, R Almeida, R Almeida, R Almeida, R Almeida, R Magin, RA El-Nabulsi, RA El-Nabulsi, TM Atanacković   +29 more
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A fully implicit finite difference scheme based on extended cubic B-splines for time fractional advection–diffusion equation

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, Tayyaba Akram, Muhammad Abbas, Ahmad Izani Ismail, Norhashidah H. M. Ali   +4 more
doaj   +1 more source

Convergence analysis of the Chebyshev-Legendre spectral method for a class of Fredholm fractional integro-differential equations

, 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., Javadi, S., Moradi, E., Yousefi, A.   +3 more
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The Numerical Solution of Fractional Black-Scholes-Schrodinger Equation Using the RBFs Method

Advances in Mathematical Physics, 2020
In this paper, radial basis functions (RBFs) method was used to solve a fractional Black-Scholes-Schrodinger equation in an option pricing of financial problems. The RBFs method is applied in discretizing a spatial derivative process.
Naravadee Nualsaard, Anirut Luadsong, Nitima Aschariyaphotha   +2 more
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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
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Semilinear fractional differential equations: global solutions, critical nonlinearities and comparison results [PDF]

, 2015
In this work we study several questions concerning to abstract fractional Cauchy problems of order α ∈ (0, 1). Concretely, we analyze the existence of local mild solutions for the problem, and its possible continuation to a maximal interval of existence.
Andrade, Bruno de, Carvalho, Alexandre Nolasco, Marín Rubio, Pedro, Mendes de Carvalho Neto, Paulo   +3 more
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Mittag-Leffler Stability Theorem for Fractional Nonlinear Systems with Delay

Abstract and Applied Analysis, 2010
Fractional calculus started to play an important role for analysis of the evolution of the nonlinear dynamical systems which are important in various branches of science and ...
S. J. Sadati, D. Baleanu, A. Ranjbar, R. Ghaderi, T. Abdeljawad (Maraaba)   +4 more
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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, D. Baleanu, D. Baleanu, D. Baleanu, D.W. Dreisigmeyer, Dumitru Baleanu, F. Mainardi, F. Riewe, F. Riewe, G.M. Zaslavsky, I. Podlubny, K.B. Oldham, K.S. Miller, M. Klimek, M. Klimek, M. Klimek, M. Naber, O.P. Agrawal, O.P. Agrawal, Om. P. Agrawal, R. Hilfer, R.L. Magin, S. Muslih, S.G. Samko, S.I. Muslih   +24 more
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NTIM solution of the fractional order parabolic partial differential equations

Open Physics, 2022
In this article, natural transform iterative method has been used to find the approximate solution of fractional order parabolic partial differential equations of multi-dimensions together with initial and boundary conditions.
Ali Nasir, Nawaz Rashid, Saeed Anwar, Gul Taza, Bonyah Ebenezer   +4 more
doaj   +1 more source