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Browsing by Author "Avkar, Tansel"

Browsing by Author "Avkar, Tansel"

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  • Fractional differential equations and their applications 
    Avkar, Tansel (2004)
    The Laplace transform method for solving fractional differential equations is pre sented. The fractional diffusion and fractional Schrödinger equations together with their properties are investigated. The Lagrangians linear ...
  • Fractional Euler-Lagrange equations for constrained systems 
    Avkar, Tansel; Baleanu, Dumitru (Amer Inst Physics, 2004)
    The fractional calculus is the name for the theory of integrals and derivatives of arbitrary order, which generalize the notions of n-fold integration and integer-order differentiation. Differential equations of fractional ...
  • Lagrangians with linear velocities within Riemann-Liouville fractional derivatives 
    Baleanu, Dumitru; Avkar, Tansel (Societa Italiana Di Fisica, 2004-01)
    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 ...