Results 51 to 60 of about 1,372 (141)

A new error estimate of a finite difference scheme for a fractional transport-advection equation with zero order term

Alexandria Engineering Journal
In this work, we propose a finite difference scheme for Caputo’s fractional derivative transport equation in time and space, with a zero-order term. A new error estimation of the approximate solution has been demonstrated. By introducing an approximation
Allaoua Mehri, Hakima Bouhadjera, Mohammed S. Abdo, Najla Alghamdi, Sahar Ahmed Idris   +4 more
doaj   +1 more source

An Operational Matrix Technique Based on Chebyshev Polynomials for Solving Mixed Volterra-Fredholm Delay Integro-Differential Equations of Variable-Order

Journal of Function Spaces, 2022
In this work, an algorithm for finding numerical solutions of linear fractional delay-integro-differential equations (LFDIDEs) of variable-order (VO) is introduced.
Kamal R. Raslan, Khalid K. Ali, Emad M. H. Mohamed, Jihad A. Younis, Mohamed A. Abd El salam   +4 more
doaj   +1 more source

Monotonicity of functions and sign changes of their Caputo derivatives

, 2015
It is well known that a continuously differentiable function is monotone in an interval $[a,b]$ if and only if its first derivative does not change its sign there.
Diethelm, Kai
core   +1 more source

Fractional conservation laws in optimal control theory

, 2007
Using the recent formulation of Noether's theorem for the problems of the calculus of variations with fractional derivatives, the Lagrange multiplier technique, and the fractional Euler-Lagrange equations, we prove a Noether-like theorem to the more ...
D. Baleanu, D. Baleanu, D. Baleanu, D.F.M. Torres, D.F.M. Torres, Delfim F. M. Torres, E.M. Rabei, F. Riewe, F. Riewe, G. Jumarie, G. Jumarie, G.S.F. Frederico, Gastão S. F. Frederico, I.A. Dzenite, K.S. Miller, M. Klimek, M. Klimek, M. Klimek, M. Klimek, O.P. Agrawal, O.P. Agrawal, O.P. Agrawal, P.D.F. Gouveia, R.A. El-Nabulsi, R.A. El-Nabulsi, R.A. El-Nabulsi, S.G. Samko, S.I. Muslih, S.I. Muslih, S.I. Muslih, V.E. Tarasov   +30 more
core   +1 more source

Adapting semi-analytical treatments to the time-fractional derivative Gardner and Cahn-Hilliard equations

Alexandria Engineering Journal
This paper used the flexible and efficient least squares residual power series method (LSRPSM) to solve the time-fractional derivative Cahn-Hilliard and Gardener equations. The LSRPSM combines the residual power series method (RPSM) and the least squares
A. Hassan, A.A.M. Arafa, S.Z. Rida, M.A. Dagher, H.M. El Sherbiny   +4 more
doaj   +1 more source

An Efficient Numerical Technique for Solving Time-Fractional Generalized Fisher's Equation

Frontiers in Physics, 2020
This paper extends the existing Fisher's equation by adding the source term and generalizing the degree β of the non-linear part. A numerical solution of a modified Fisher's equation for different values of β using the cubic B-spline collocation scheme ...
Abdul Majeed, Mohsin Kamran, Muhammad Abbas, Jagdev Singh   +3 more
doaj   +1 more source

Extension of Cubic B-Spline for Solving the Time-Fractional Allen–Cahn Equation in the Context of Mathematical Physics

Computation
A B-spline is defined by the degree and quantity of knots, and it is observed to provide a higher level of flexibility in curve and surface layout. The extended cubic B-spline (ExCBS) functions with new approximation for second derivative and finite ...
Mubeen Fatima, Ravi P. Agarwal, Muhammad Abbas, Pshtiwan Othman Mohammed, Madiha Shafiq, Nejmeddine Chorfi   +5 more
doaj   +1 more source

On Fractional SIRC Model with Salmonella Bacterial Infection

Abstract and Applied Analysis, 2014
We propose a fractional order SIRC epidemic model to describe the dynamics of Salmonella bacterial infection in animal herds. The infection-free and endemic steady sates, of such model, are asymptotically stable under some conditions.
Fathalla A. Rihan, Dumitru Baleanu, S. Lakshmanan, R. Rakkiyappan   +3 more
doaj   +1 more source

Fractional Almost Kahler - Lagrange Geometry

, 2010
The goal of this paper is to encode equivalently the fractional Lagrange dynamics as a nonholonomic almost Kahler geometry. We use the fractional Caputo derivative generalized for nontrivial nonlinear connections (N-connections) originally introduced in ...
Baleanu, Dumitru, Vacaru, Sergiu I.
core   +1 more source

Reachability and Controllability of Fractional Singular Dynamical Systems with Control Delay

Journal of Applied Mathematics, 2013
This paper is concerned with the reachability and controllability of fractional singular dynamical systems with control delay. The factors of such systems including the Caputo’s fractional derivative, control delay, and singular coefficient matrix are ...
Hai Zhang, Jinde Cao, Wei Jiang
doaj   +1 more source