Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiques Vol. CXXXIX, No. 34, pp. 75–88 (2009) 

Weak solutions to differential equations with left and right fractional derivatives defined on ${\Bbb R}$T. M. Atanackovic, S. Pilipovic and B. StankovicFaculty of Technical Sciences, Department of Mechanics, University of Novi Sad, 21000 Novi Sad, SerbiaFaculty of Sciences, Department of Mathematics and Informatics, University of Novi Sad, 21000 Novi Sad, Serbia Abstract: We treat linear differential equations containing both left and right RiemannLiouville fractional derivatives arising from fractional variational problems. We use the Fourier transform method to obtain weak solution to the problem. Regularity of such solution is examined and the conditions for the existence of classical solution are stated. Keywords: Right and left RiemannLiouville fractional derivative; Fractional differential equations. Fourier transform Classification (MSC2000): 05C50 Full text of the article: (for faster download, first choose a mirror)
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