Results 31 to 40 of about 595,099 (300)

Fractional variational problems depending on indefinite integrals [PDF]

, 2012
We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor, Pooseh, S., Almeida, R., Almeida, Ricardo, Delfim F.M. Torres, Shakoor Pooseh, Torres, D.F.M., Ricardo Almeida, Torres, Delfim F. M.   +8 more
core   +1 more source

Comparative analysis for radiative slip flow of magnetized viscous fluid with mixed convection features: Atangana-Baleanu and Caputo-Fabrizio fractional simulations

Case Studies in Thermal Engineering, 2021
This novel investigation suggests interesting solution techniques regarding the magnetized flow of Casson material through a porous space confined by a vertical surface.
M. Ijaz Khan, Ali Raza, Maria Naseem, Kamel Al-Khaled, Sami Ullah Khan, M. Imran Khan, Essam Roshdy El-Zahar, M.Y. Malik   +7 more
doaj   +1 more source

Derivation of operational matrix of Rabotnov fractional-exponential kernel and its application to fractional Lienard equation

Alexandria Engineering Journal, 2020
Our motive in this contribution is to find out the operational matrix of fractional derivative having non singular kernel namely Rabotnov fractional-exponential (RFE) kernel which is recently introduced and seeking numerical solution of non-linear ...
Sachin Kumar, J.F. Gómez-Aguilar, J.E. Lavín-Delgado, D. Baleanu   +3 more
doaj   +1 more source

Solutions For Fractional Linear Systems With Hattaf Derivative [PDF]

, 2023
This paper deals with the analytical solutions of the fractional-order linear systems characterized by DX(t) = AX(t)fractional differential equations.
Öztürk, Sermin, Solak , Rabia
core   +1 more source

Lie symmetry analysis of (2+1)-dimensional time fractional Kadomtsev-Petviashvili equation [PDF]

Open Communications in Nonlinear Mathematical Physics
In this paper, Lie symmetry analysis method is applied to the (2+1)-dimensional time fractional Kadomtsev-Petviashvili (KP) equation with the mixed derivative of Riemann-Liouville time-fractional derivative and integer-order $x$-derivative.
Jicheng Yu, Yuqiang Feng
doaj   +1 more source

Aging and rejuvenation with fractional derivatives [PDF]

Physical Review E, 2004
We discuss a dynamic procedure that makes the fractional derivatives emerge in the time asymptotic limit of non-Poisson processes. We find that two-state fluctuations, with an inverse power-law distribution of waiting times, finite first moment and divergent second moment, namely with the power index mu in the interval 2>ta yields ord=mu -2.
Aquino, Gerardo, Bologna, Mauro, Grigolini, Paolo, West, Bruce J.   +3 more
openaire   +4 more sources

Spectral approximations to the fractional integral and derivative [PDF]

, 2012
In this paper, the spectral approximations are used to compute the fractional integral and the Caputo derivative. The effective recursive formulae based on the Legendre, Chebyshev and Jacobi polynomials are developed to approximate the fractional ...
Li, Changpin, Liu, Fawang, Fanhai Zeng, Changpin Li, Zeng, Fanhai, Fawang Liu   +5 more
core   +2 more sources

Fractional Order Barbalat’s Lemma and its Applications in the Stability of Fractional Order Nonlinear Systems

Mathematical Modelling and Analysis, 2017
This paper investigates fractional order Barbalat’s lemma and its applications for the stability of fractional order nonlinear systems with Caputo fractional derivative at first.
Fei Wang, Yongqing Yang
doaj   +1 more source

Unitary fractional-order derivative operators for quantum computation

, 2021
Along with recent progresses in quantum computation technologies, researchers have addressed practical computational supremacies of quantum computers. The research works in the quantum computation domain mainly focus on progressive quantum algorithms and
Alagoz B.B., Alagoz S.
core   +1 more source

An Extension of the Picard Theorem to Fractional Differential Equations with a Caputo-Fabrizio Derivative

Journal of Function Spaces, 2021
In this paper, we consider fractional differential equations with the new fractional derivative involving a nonsingular kernel, namely, the Caputo-Fabrizio fractional derivative.
H. R. Marasi, A. Soltani Joujehi, H. Aydi   +2 more
doaj   +1 more source