TY - JOUR TI - A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative AU - R. P. Agarwal AU - M. Belmekki AU - M. Benchohra JO - Adv. Difference Equ. PY - 2009 DA - 2009// VL - 2009 ID - Agarwal2009 ER - TY - JOUR TI - A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions AU - R. P. Agarwal AU - M. Benchohra AU - S. Hamani JO - Acta Appl. Math. PY - 2012 DA - 2012// VL - 109 ID - Agarwal2012 ER - TY - JOUR TI - Analysis of implicit type nonlinear dynamical problem of impulsive fractional differential equation AU - N. Ahmad AU - Z. Ali AU - K. Shah AU - A. Zada JO - Complexity PY - 2018 DA - 2018// VL - 2018 ID - Ahmad2018 ER - TY - JOUR TI - Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions AU - B. Ahmad AU - J. J. Nieto JO - Comput. Math. Appl. PY - 2009 DA - 2009// VL - 58 ID - Ahmad2009 ER - TY - JOUR TI - Hyers-Ulam stability of a class of nonlocal boundary value problem having triple solutions AU - N. Ali AU - B. B. Fatima AU - K. Shah AU - R. A. Khan JO - Int. J. Appl. Comput. Math. PY - 2018 DA - 2018// VL - 4 ID - Ali2018 ER - TY - JOUR TI - Monotone iterative sequences for nonlinear boundary value problems of fractional order AU - M. Al-Refai AU - M. Ali Hajji JO - Nonlinear Anal. PY - 2011 DA - 2011// VL - 74 ID - Al-Refai2011 ER - TY - JOUR TI - The existence of a positive solution for a singular coupled system of nonlinear fractional differential equations AU - C.-Z. Bai AU - J.-X. Fang JO - Appl. Math. Comput. PY - 2004 DA - 2004// VL - 150 ID - Bai2004 ER - TY - JOUR TI - Existence results for boundary value problems with nonlinear fractional differential equations AU - M. Benchohra AU - J. R. Graef AU - S. Hamani JO - Applicable Anal. PY - 2008 DA - 2008// VL - 87 ID - Benchohra2008 ER - TY - JOUR TI - On nonlinear implicit fractional differential equations without compactness AU - S. Bushnaq AU - W. Hussain AU - K. Shah JO - J. Nonlinear Sci. Appl. PY - 2017 DA - 2017// VL - 10 ID - Bushnaq2017 ER - TY - JOUR TI - Positive solutions of nonlinear fractional differential equations with integral boundary value conditions AU - A. Cabadal AU - G. T. Wang JO - J. Math. Anal. Appl. PY - 2012 DA - 2012// VL - 389 ID - Cabadal2012 ER - TY - BOOK TI - Two-point Boundary Value Problems: Lower and Upper Solutions AU - C. De Coster AU - P. Habets PB - Elsevier B. V. PY - 2006 DA - 2006// CY - Amsterdam ID - Coster2006 ER - TY - JOUR TI - Analysis of the solutions of coupled nonlinear fractional reactiondiffusion equations AU - V. Gafiychuk AU - B. Datsko AU - V. Meleshko AU - D. Blackmore JO - Chaos Solitons Fractals PY - 2009 DA - 2009// VL - 41 ID - Gafiychuk2009 ER - TY - JOUR TI - Monotone iterative technique for impulsive integro-differential equations with periodic boundary conditions AU - Z. M. He AU - X. M. He JO - Comput. Math. Appl. PY - 2004 DA - 2004// VL - 48 ID - He2004 ER - TY - BOOK TI - Applications of Fractional Calculus in Physics AU - R. Hilfer PB - World Scientific Publishing Co. PY - 2000 DA - 2000// CY - River Edge ID - Hilfer2000 ER - TY - JOUR TI - Upper and lower solutions to a coupled system of nonlinear fractional differential equations AU - H. Khalil AU - K. Shah AU - R. A. Khan JO - Progress in Fractional Differential Equations Applications PY - 2016 DA - 2016// VL - 2016 ID - Khalil2016 ER - TY - JOUR TI - Existence and approximation of solutions to three-point boundary value problems for fractional differential equations AU - R. A. Khan JO - Electron. J. Qual. Theory Differ. Equ. PY - 2011 DA - 2011// VL - 2011 ID - Khan2011 ER - TY - BOOK TI - Theory and Applications of Fractional Differential Equations AU - A. A. Kilbas AU - H. M. Srivastava AU - J. J. Trujillo PB - Elsevier Science B.V. PY - 2006 DA - 2006// CY - Amsterdam ID - Kilbas2006 ER - TY - BOOK TI - Monotone iterative technique for nonlinear differential equations AU - G. S. Ladde AU - V. Lakshmikantham AU - A. S. Vatsala PB - Pitman Publishing Inc. PY - 1985 DA - 1985// CY - Boston ID - Ladde1985 ER - TY - JOUR TI - Existence and uniqueness of solutions of secend-order three-point boundary value problems with upper and lower solutions in the reverse order AU - F. Li AU - M. Jia AU - X. Liu AU - C. Li AU - G. Li JO - Nonlinear Anal. PY - 2008 DA - 2008// VL - 68 ID - Li2008 ER - TY - JOUR TI - Monotone iterative method for the second-order three-point boundary value problem with upper and lower solutions in the reversed order AU - F. F. Li AU - J. T. Sun AU - M. Jia JO - Comput. Math. Appl. PY - 2011 DA - 2011// VL - 217 ID - Li2011 ER - TY - JOUR TI - Existence and Ulam’s stability for conformable fractional differential equations with constant coefficients AU - M. Li AU - J. R. Wang AU - D. O’Regan JO - Bull. Malays. Math. Sci. Soc. PY - 2017 DA - 2017// VL - 2017 ID - Li2017 ER - TY - JOUR TI - Multiple solutions for fractional differential equations with nonlinear boundary conditions AU - X. P. Liu AU - M. Jia JO - Comput. Math. Appl. PY - 2010 DA - 2010// VL - 59 ID - Liu2010 ER - TY - JOUR TI - Monotone iterative technique and existence results for fractional differential equations AU - F. A. McRae JO - Nonlinear Anal. PY - 2009 DA - 2009// VL - 71 ID - McRae2009 ER - TY - BOOK TI - An Introduction to the Fractional Calculus and Fractional Differential Equations AU - K. S. Miller AU - B. Ross PB - John Wiley & Sons PY - 1993 DA - 1993// CY - New York ID - Miller1993 ER - TY - BOOK TI - Fractional Differential Equations: An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications AU - I. Podlubny PB - Academic Press PY - 1999 DA - 1999// CY - San Diego ID - Podlubny 1999 ER - TY - JOUR TI - On the stability of the linear mapping in Banach spaces AU - T. M. Rassias JO - Proc. Amer. Math. Soc. PY - 1978 DA - 1978// VL - 72 ID - Rassias1978 ER - TY - JOUR TI - On the stability of functional equations and a problem of Ulam AU - T. M. Rassias JO - Acta Appl. Math. PY - 2000 DA - 2000// VL - 62 ID - Rassias2000 ER - TY - JOUR TI - Ulam stabilities of ordinary differential equations in a Banach space AU - I. A. Rus JO - Carpathian J. Math. PY - 2010 DA - 2010// VL - 26 ID - Rus 2010 ER - TY - BOOK TI - Fractional Integrals and Derivatives: Theory and Applications AU - S. G. Samko AU - A. A. Kilbas AU - O. I. Marichev PB - Gordon and Breach Science Publishers PY - 1993 DA - 1993// CY - Yverdon ID - Samko1993 ER - TY - JOUR TI - Iterative solutions to a coupled system of nonlinear fractional differential equations AU - K. Shah AU - R. A. Khan JO - J. Fract. Cal. Appl. PY - 2016 DA - 2016// VL - 7 ID - Shah2016 ER - TY - JOUR TI - Iterative scheme for a coupled system of fractional-order differential equations with three-point boundary conditions AU - K. Shah AU - R. A. Khan JO - Math. Methods Appl. Sci. PY - 2018 DA - 2018// VL - 41 ID - Shah2018 ER - TY - JOUR TI - Boundary value problem for a coupled systemof nonlinear fractional differential equations AU - X. Su JO - Appl. Math. Lett. PY - 2009 DA - 2009// VL - 22 ID - Su2009 ER - TY - JOUR TI - Existence results and the monotone iterative technique for systems of nonlinear fractional differential equations AU - G. T. Wang AU - R. P. Agarwal AU - A. Cabada JO - Appl. Math. Lett. PY - 2012 DA - 2012// VL - 25 ID - Wang2012 ER - TY - JOUR TI - Fractional order differential switched systems with coupled nonlocal initial and impulsive conditions AU - J. R. Wang AU - M. Feckan AU - Y. Zhou JO - Bull. Sci. math. PY - 2017 DA - 2017// VL - 141 ID - Wang2017 ER - TY - JOUR TI - Existence and Hyers-Ulam stability of fractional nonlinear impulsive switched coupled evolution equations AU - J. R. Wang AU - K. Shah AU - A. Ali JO - Math. Methods Appl. Sci. PY - 2018 DA - 2018// VL - 41 ID - Wang2018 ER - TY - JOUR TI - Positive solution to nonzero boundary values problem for a coupled system of nonlinear fractional differential equations AU - J. H. Wang AU - H. J. Xiang AU - Z. G. Liu JO - Int. J. Differ. Equ. PY - 2010 DA - 2010// VL - 2010 ID - Wang2010 ER - TY - JOUR TI - Iterative solutions for a coupled system of fractional differential-integral equations with two-point boundary conditions AU - N. Xu AU - W. B. Liu JO - Appl. Math. Comput. PY - 2014 DA - 2014// VL - 244 ID - Xu2014 ER - TY - JOUR TI - Positive solutions for a coupled system of nonlinear fractional differential equations with integral boundary conditions AU - W. G. Yang JO - Comput. Math. Appl. PY - 2012 DA - 2012// VL - 63 ID - Yang2012 ER - TY - BOOK TI - Nonlinear Functional Analysis and its Applications: II/B: Nonlinear Monotone Operators AU - E. Zeidler PB - Springer-Verlag PY - 1990 DA - 1990// CY - New York ID - Zeidler 1990 ER - TY - JOUR TI - Monotone iterative method for initial value problem involving Riemann-Liouville fractional derivatives AU - S. Q. Zhang JO - Nonlinear Anal. PY - 2009 DA - 2009// VL - 71 ID - Zhang2009 ER -