Bilgilendirme: Sürüm Güncellemesi ve versiyon yükseltmesi nedeniyle, geçici süreyle zaman zaman kesintiler yaşanabilir ve veri içeriğinde değişkenlikler gözlemlenebilir. Göstereceğiniz anlayış için teşekkür ederiz.

Browsing by Author "Trujillo, Juan J."

Filter results by typing the first few letters
Now showing 1 - 4 of 4
  • Thumbnail Image
    Editorial
    Citation - Scopus: 2
    Advanced Theoretical and Applied Studies of Fractional Differential Equations
    (Hindawi Publishing Corporation, 2013) Trujillo, Juan J.; Ahmad, Bashir; Baleanu, Dumitru; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
  • Thumbnail Image
    Editorial
    Advanced Theoretical and Applied Studies of Fractional Differential Equations 2013
    (Hindawi Publishing Corporation, 2014) Baleanu, Dumitru; Trujillo, Juan J.; Ahmad, Bashir; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
  • Thumbnail Image
    Article
    Citation - WoS: 2
    Citation - Scopus: 2
    Exact Solutions of a Class of Fractional Hamiltonian Equations Involving Caputo Derivatives
    (Iop Publishing Ltd, 2009) Trujillo, Juan J.; Baleanu, Dumitru; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    The fractional Hamiltonian equations corresponding to the Lagrangians of constrained systems within Caputo derivatives are investigated. The fractional phase space is obtained and the exact solutions of some constrained systems are obtained.
  • Thumbnail Image
    Article
    Citation - WoS: 101
    Citation - Scopus: 117
    On Exact Solutions of a Class of Fractional Euler-Lagrange Equations
    (Springer, 2008) Trujillo, Juan J.; Baleanu, Dumitru; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    In this paper, first a class of fractional differential equations are obtained by using the fractional variational principles. We find a fractional Lagrangian L(x(t), where D-c(a)t(alpha) x(t)) and 0 < alpha < 1, such that the following is the corresponding Euler-Lagrange D-t(b)alpha(D-c(a)t(alpha))x(t) + b(t, x(t)) ((c)(a)D(t)(alpha)x(t)) + f(t, x(t)) = 0. (1) At last, exact solutions for some Euler-Lagrange equations are presented. In particular, we consider the following equations D-t(b)alpha(D-c(a)t(alpha))x(t) = lambda x(t) (lambda is an element of R), (2) D-t(b)alpha(D-c(a)t(alpha))x(t) + g(t) D-c(a)t(alpha) x(t) = f(t), (3) where g(t) and f (t) are suitable functions.