%0 Journal Article %T Existence and uniqueness of solutions of differential equations of fractional order with integral boundary conditions %A Nanware, J. A. %A Dhaigude, D. B. %J Journal of Nonlinear Sciences and Applications %D 2014 %V 7 %N 4 %@ ISSN 2008-1901 %F Nanware2014 %X Recently, Wang and Xie [T. Wang, F. Xie, J. Nonlinear Sci. Appl., 1 (2009), 206-212] developed monotone iterative method for Riemann-Liouville fractional differential equations with integral boundary conditions with the strong hypothesis of locally Hölder continuity and obtained existence and uniqueness of a solution for the problem. In this paper, we apply the comparison result without locally Hölder continuity due to Vasundhara Devi to develop monotone iterative method for the problem and obtain existence and uniqueness of a solution of the problem. %9 journal article %R 10.22436/jnsa.007.04.02 %U http://dx.doi.org/10.22436/jnsa.007.04.02 %P 246--254 %0 Journal Article %T On Fractional Integro-Differential Equations with State-dependent Delay %A R. P. Agarwal %A B. de Andrade %A G. Siracusa %J Comp. Math. Appl. %D 2011 %V 62 %F Agarwal2011 %0 Journal Article %T A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions %A R. P. Agarwal %A M. Benchohra %A S. Mamani %J Acta Appl. Math. %D 2010 %V 109 %F Agarwal2010 %0 Journal Article %T On type of periodicity and Ergodicity to a class of Fractional Order Differential Equations %A R. P. Agarwal %A B. de Andrade %A C. Cuevas %J Adv. Differen. Eqs., Hindawi Publl.Corp., NY , USA, Article ID 179750 %D 2010 %V %F Agarwal2010 %0 Journal Article %T Asymptotic Behaviour of the Solutions of Fractional Integro-Differential Equations and Some Time Discretizations %A E. Cuesta %J Dis. Cont. Dyn. Sys., Series A %D 2007 %V %F Cuesta2007 %0 Journal Article %T Almost Periodic and Pseudo-almost Periodic Solutions to Fractional Differential and Integro-Differential Equations %A C. Cuevas %A H. Soto %A A. Sepulveda %J Appl. Math. Comput. %D 2011 %V 218 %F Cuevas2011 %0 Journal Article %T Generalized Monotone Method for Periodic Boundary Value Problems of Caputo Fractional Differential Equations %A J. V. Devi %J Commun. Appl. Anal. %D 2008 %V 12 %F Devi2008 %0 Journal Article %T Variational Lyapunov Method for Fractional Differential Equations %A J. V. Devi %A F. A. McRae %A Z. Drici %J Comp. Math. Appl. %D 2012 %V 64 %F Devi2012 %0 Journal Article %T Monotone Technique for System of Caputo Fractional Differential Equations with Periodic Boundary Conditions %A D. B. Dhaigude %A J. A. Nanware %A V. R. Nikam %J Dyn. Conti. Dis. Impul. Sys., Series-A :Mathematical Analysis %D 2012 %V 19 %F Dhaigude2012 %0 Book %T Monotone Technique for Finite System of Caputo Fractional Differential Equations with Periodic Boundary Conditions %A D. B. Dhaigude %A J. A. Nanware %D To appear %I %C %F DhaigudeTo appear %0 Journal Article %T On the Existence of Mild Solutions to Some Semilinear Fractional Integro-Differential Equations %A T. Diagana %A G. M. Mophou %A G. M. N'Gue're'kata %J Electron. J. Qual. Theory Differ. Equ. %D 2010 %V 58 %F Diagana2010 %0 Journal Article %T A Cauchy Problem for Some Fractional Abstract Differential Equations with Non-local Conditions %A G. M. N'Gue're'kata %J Nonlinear Anal. %D 2009 %V 70 %F N'Gue're'kata 2009 %0 Journal Article %T Differential Equations with Integral Boundary Conditions %A T. Jankwoski %J J. Comput. Appl. Math. %D 2002 %V 147 %F Jankwoski2002 %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 Mathematical Studies, Vol.204. Elsevier(North-Holland) Sciences Publishers %C Amsterdam %F Kilbas2006 %0 Journal Article %T On a new class of abstract impulsive functional differential equations of fractional order %A P. Kumar %A D. N. Pandey %A D. Bahuguna %J J. Nonlinear Sci. Appl. %D 2014 %V 7 %F Kumar2014 %0 Book %T Monotone Iterative Techniques for Nonlinear Differential Equations %A G. S. Ladde %A V. Lakshmikantham %A A. S. Vatsala %D 1985 %I Pitman Advanced Publishing Program %C London %F Ladde1985 %0 Journal Article %T Theory of Fractional Differential Equations and Applications %A V. Lakshmikantham %A A. S. Vatsala %J Communications in Applied Analysis %D 2007 %V 11 %F Lakshmikantham2007 %0 Journal Article %T Basic Theory of Fractional Differential Equations and Applications %A V. Lakshmikantham %A A. S. Vatsala %J Nonlinear Anal. %D 2008 %V 69 %F Lakshmikantham2008 %0 Journal Article %T General Uniqueness and Monotone Iterative Technique for Fractional Differential Equations %A V. Lakshmikantham %A A. S. Vatsala %J Appl. Math. Letters %D 2008 %V 21 %F Lakshmikantham2008 %0 Book %T Differential and Integral Inequalities Vol.I. %A V. Lakshmikantham %A S. Leela %D 1969 %I Academic Press %C Newyork %F Lakshmikantham1969 %0 Book %T Theory and Applications of Fractional Dynamic Systems %A V. Lakshmikantham %A S. Leela %A J. V. Devi %D 2009 %I Cambridge Scientific Publishers Ltd. %C %F Lakshmikantham2009 %0 Journal Article %T Existence of unbounded positive solutions for BVPs of singular fractional differential equations %A Y. Liu %A H. Shi %J J. Nonlinear Sci. Appl. %D 2012 %V 5 %F Liu2012 %0 Journal Article %T Monotone Iterative Technique and Existence Results for Fractional Differential Equations %A F. A. Mc Rae %J Nonlinear Anal. %D 2009 %V 71 %F Rae 2009 %0 Book %T Monotone Method In Fractional Differential Equations and Applications %A J. A. Nanware %D 2013 %I Ph.D Thesis %C Dr. Babasaheb Ambedkar Marathwada University %F Nanware2013 %0 Book %T Boundary Value Problems for Differential Equations of Noninteger Order Involving Caputo Fractional Derivative %A J. A. Nanware %A D. B. Dhaigude %D To appear %I Proceedings of Jangjeon Mathematical Society %C South Korea %F NanwareTo appear %0 Journal Article %T Existence and Uniqueness Results for Fractional Differential Equations Via Monotone Method %A J. A. Nanware %J Bull. Marathwada Math. Soc. %D 2013 %V 14 %F Nanware 2013 %0 Journal Article %T Existence and Uniqueness of solution of Riemann-Liouville Fractional Differential Equations with Integral Boundary Conditions %A J. A. Nanware %A D. B. Dhaigude %J Int. J. Nonlinear Sci. %D 2012 %V 14 %F Nanware2012 %0 Journal Article %T Monotone Iterative Scheme for System of Riemann-Liouville Fractional Differential Equations with Integral Boundary Conditions %A J. A. Nanware %A D. B. Dhaigude %J Math. Modelling Sci. Computation, Springer-Verlag %D 2012 %V 283 %F Nanware2012 %0 Book %T Fractional Differential Equations %A I. Podlubny %D 1999 %I Academic Press %C San Diego %F Podlubny1999 %0 Journal Article %T Existence and Uniqueness of Fractional Differential Equations with Integral Boundary Conditions %A T. Wang %A F. Xie %J J. Nonlinear Sci. Appl. %D 2009 %V 1 %F Wang2009