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- Richard L Magin, Osama Abdullah, Dumitru Baleanu, Xiaohong Joe Zhou
- Journal of magnetic resonance
- 2008

Diffusion weighted MRI is used clinically to detect and characterize neurodegenerative, malignant and ischemic diseases. The correlation between developing pathology and localized diffusion relies on diffusion-weighted pulse sequences to probe biophysical models of molecular diffusion-typically exp[-(bD)]-where D is the apparent diffusion coefficient… (More)

- Amar Debbouche, Dumitru Baleanu
- Computers & Mathematics with Applications
- 2011

- Ioannis K. Dassios, Dumitru Baleanu, Grigorios I. Kalogeropoulos
- Applied Mathematics and Computation
- 2014

- Ravi P. Agarwal, Dumitru Baleanu, Vahid Hedayati, Shahram Rezapour
- Applied Mathematics and Computation
- 2015

- Dumitru Baleanu, Tansel Avkar
- 2004

Lagrangians linear in velocities were analyzed using the fractional calculus and the Euler-Lagrange equations were derived. Two examples were investigated in details, the explicit solutions of Euler-Lagrange equations were obtained and the recovery of the classical results was discussed.

- Sami I Muslih, Dumitru Baleanu
- 2008

The link between the treatments of constrained systems with fractional derivatives by using both Hamiltonian and Lagrangian formulations is studied. It is shown that both treatments for systems with linear velocities are equivalent.

- Sachin Bhalekar, Varsha Daftardar-Gejji, Dumitru Baleanu, Richard L. Magin
- Computers & Mathematics with Applications
- 2011

- Dumitru Baleanu, Sami I Muslih
- 2008

The classical fields with fractional derivatives are investigated by using the fractional Lagrangian formulation.The fractional Euler-Lagrange equations were obtained and two examples were studied.

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 canoni-cal Hamiltonian are given, and a set of fractional Hamiltonian equations are obtained. Using an example, it is shown that the canonical fractional Hamiltonian… (More)

- Dumitru Baleanu
- 2008

Fractional mechanics describes both conservative and non-conservative systems. The fractional variational principles gained importance in studying the fractional mechanics and several versions are proposed. In classical mechanics the equivalent Lagrangians play an important role because they admit the same Euler-Lagrange equations. By adding a total time… (More)