On the Global Existence of Solutions To a Class of Fractional Differential Equations

Mustafa, Octavian G.Baleanu, Dumitru02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2016-06-142025-09-182016-06-142025-09-182010Baleanu, D., Mustafa, O.G. (2010). On the global existence of solutions to a class of fractional differential equations. Computers&Mathematics With Applications, 59(5), 1835-1841. http://dx.doi.org/10.1016/j.camwa.2009.08.0280898-12211873-7668https://doi.org/10.1016/j.camwa.2009.08.028https://hdl.handle.net/123456789/12095We present two global existence results for an initial value problem associated to a large class of fractional differential equations. Our approach differs substantially from the techniques employed in the recent literature. By introducing an easily verifiable hypothesis, we allow for immediate applications of a general comparison type result from [V. Lakshmikantham, AS. Vatsala, Basic theory of fractional differential equations, Nonlinear Anal. TMA 69 (2008), 2677-2682]. (C) 2009 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/closedAccessFractional Differential EquationGlobal Existence Of SolutionFixed Point TheoryOn the Global Existence of Solutions To a Class of Fractional Differential EquationsOn the global existence of solutions to a class of fractional differential equationsArticle10.1016/j.camwa.2009.08.0282-s2.0-76649111047