%0 Journal Article %T Uniqueness results for nonlinear fractional differential equations with infinite-point integral boundary conditions %A Liu, Suli %A Liu, Junpeng %A Dai, Qun %A Li, Huilai %J Journal of Nonlinear Sciences and Applications %D 2017 %V 10 %N 3 %@ ISSN 2008-1901 %F Liu2017 %X In this paper, we consider a class of nonlinear fractional differential equations involving the Riemann-Liouville fractional derivative with infinite-point integral boundary conditions. Our analysis relies on the fixed point index theory and \(u_0\)-positive operator. An example is given for the illustration of the main work. %9 journal article %R 10.22436/jnsa.010.03.37 %U http://dx.doi.org/10.22436/jnsa.010.03.37 %P 1281--1288 %0 Journal Article %T Some new versions of fractional boundary value problems with slit-strips conditions %A B. Ahmad %A R. P. Agarwal %J Bound. Value Probl. %D 2014 %V 2014 %F Ahmad2014 %0 Journal Article %T New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model %A A. Atangana %A D. Baleanu %J Therm. Sci. %D 2016 %V 20 %F Atangana2016 %0 Journal Article %T Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order %A A. Atangana %A I. Koca %J Chaos Solitons Fractals %D 2016 %V 89 %F Atangana2016 %0 Journal Article %T Uniqueness of solution for boundary value problems for fractional differential equations %A Y.-J. Cui %J Appl. Math. Lett. %D 2016 %V 51 %F Cui2016 %0 Book %T Nonlinear integral equations %A D.-J. Guo %D 1987 %I Shandong Science and Technology Press %C Jinan %F Guo1987 %0 Book %T Theory and applications of fractional differential equations %A A. A. Kilbas %A H. M. Srivastava %A J. J. Trujillo %D 2006 %I North-Holland Mathematics Studies, Elsevier Science B.V. %C Amsterdam %F Kilbas2006 %0 Journal Article %T Positive solutions of operator equations %A M. A. Krasnoselskiı %J Translated from the Russian by Richard E. Flaherty; edited by Leo F. Boron P. Noordhoff Ltd. Groningen %D 1964 %V %F Krasnoselskiı1964 %0 Journal Article %T Nonlinear fractional differential equations with nonlocal integral boundary conditions %A S.-L. Liu %A H.-L. Li %A Q. Dai %J Adv. Difference Equ. %D 2015 %V 2015 %F Liu2015 %0 Journal Article %T Existence and uniqueness results for nonlocal integral boundary value problems for fractional differential equations %A S.-L. Liu %A H.-L. Li %A Q. Dai %A J.-P. Liu %J Adv. Difference Equ. %D 2016 %V 2016 %F Liu2016 %0 Book %T Advances in fractional calculus %A J. Sabatier %A O. P. Agrawal %A J. A. Tenreiro Machado (Eds.) %D 2007 %I Theoretical developments and applications in physics and engineering, Including papers from the Minisymposium on Fractional Derivatives and their Applications (ENOC-2005) held in Eindhoven, August 2005, and the 2nd Symposium on Fractional Derivatives and their Applications (ASME-DETC 2005) held in Long Beach, CA, September 2005, Springer %C Dordrecht %F Sabatier2007 %0 Book %T Fractional integrals and derivatives %A S. G. Samko %A A. A. Kilbas %A O. I. Marichev %D 1993 %I Theory and applications, Edited and with a foreword by S. M. Nikolskiı, Translated from the 1987 Russian original, Revised by the authors, Gordon and Breach Science Publishers %C Yverdon %F Samko1993 %0 Journal Article %T Existence of extremal solutions for nonlinear fractional differential equation with nonlinear boundary conditions %A W.-Z. Xie %A J. Xiao %A Z.-G. Luo %J Appl. Math. Lett. %D 2015 %V 41 %F Xie2015 %0 Journal Article %T Positive solutions for a class of singular fractional differential equation with infinite-point boundary value conditions %A X.-Q. Zhang %J Appl. Math. Lett. %D 2015 %V 39 %F Zhang2015