Baleanu, DumitruMustafa, Octavian G.Agarwal, Ravi P.2017-02-172017-02-172011Baleanu, D...et al. (2011). On L-p-solutions for a class of sequential fractional differential equations. Applied Mathematics&Computation, 218(5), 2074-2081. http://dx.doi.org/ 10.1016/j.amc.2011.07.0240096-3003http://hdl.handle.net/20.500.12416/1264Under some simple conditions on the coefficient a( t), we establish that the initial value problem ((0)D(t)(alpha)x)' + a(t)x = 0; t > 0; lim(t SE arrow 0)[t(1-alpha)x(t)] = 0 has no solution in L-p((1, +infinity), R), where p-1/p > alpha > 1/p and D-0(t)alpha designates the Riemann-Liouville derivative of order alpha Our result might be useful for developing a non-integer variant of H. Weyl's limit-circle/limit-point classification of differential equations. (C) 2011 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/closedAccessSequential Fractional Differential EquationL-P-SolutionLimit-Circle/Limit-Point Classification Of Differential EquationsArticle21852074208110.1016/j.amc.2011.07.024