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Toplam kayıt 7, listelenen: 1-7

A new fractional derivative involving the normalized sinc function without singular kernel

Yang, Xiao-Jun; Gao, Feng; Machado, J. A. Tenreiro; Baleanu, Dumitru (Springer Heidelberg, 2017-12)

In this paper, a new fractional derivative involving the normalized sinc function without singular kernel is proposed. The Laplace transform is used to find the analytical solution of the anomalous heat-diffusion problems. ...
Asymptotic solutions of fractional interval differential equations with nonsingular kernel derivative

Salahshour, S.; Ahmadian, Ali; Salimi, M.; Ferrara, M.; Baleanu, Dumitru (Amer Inst Physics, 2019-08)

Realizing the behavior of the solution in the asymptotic situations is essential for repetitive applications in the control theory and modeling of the real-world systems. This study discusses a robust and definitive attitude ...
Existence and uniqueness theorem for a class of delay differential equations with left and right Caputo fractional derivatives

Abdeljawad, Thabet; Baleanu, Dumitru; Jarad, Fahd (Amer Inst Physics, 2008-08)

The existence and uniqueness theorems for functional right-left delay. and left-right advanced fractional functional differential equations with bounded delay and advance, respectively, are proved. The continuity with ...
Lagrangian formulation of classical fields within Riemann-Liouville fractional derivatives

Baleanu, Dumitru; Muslih, Sami I. (IOP Publishing LTD, 2005-08)

The classical fields with fractional derivatives are investigated by using the fractional Lagrangian forniulation. The fractional ELder-Lagrange equations were obtained and two examples were studied.
On constrained systems within Caputo derivatives

Baleanu, Dumitru (Amer Soc Mechanical Engineers, 2008)

The constraints systems play a very important role in physics and engineering. The fractional variational principles were successfully applied to control problems as well as to construct the phase space of a fractional ...
On fractional Hamilton formulation within Caputo derivatives

Baleanu, Dumitru; Muslih, Sami I.; Rabei, Eqab M. (Amer Soc Mechanical Engineers, 2008)

The fractional Lagrangian and Hamiltonian dynamics is an important issue in fractional calculus area. The classical dynamics can be reformulated in terms of fractional derivatives. The fractional variational principles ...
Stable numerical approach for fractional delay differential equations

Singh, Harendra; Pandey, Rajesh K.; Baleanu, Dumitru (Springer Wien, 2017-11)

In this paper, we present a new stable numerical approach based on the operational matrix of integration of Jacobi polynomials for solving fractional delay differential equations (FDDEs). The operational matrix approach ...

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