Fractional-order differential equations with anti-periodic boundary conditions: a survey

[1]  A. A. Potapenko,et al.  Method of Successive Approximations , 1964, Encyclopedia of Evolutionary Psychological Science.

[2]  A. Alsaedi,et al.  A Coupled System of Caputo-Type Sequential Fractional Differential Equations with Coupled (Periodic/Anti-periodic Type) Boundary Conditions , 2017 .

[3]  Ahmed Alsaedi,et al.  Existence of nonoscillatory solutions for fractional neutral differential equations , 2017, Appl. Math. Lett..

[4]  S. Stanek.  Periodic problem for two-term fractional differential equations , 2017 .

[5]  R. Agarwal,et al.  A study of fractional-order coupled systems with a new concept of coupled non-separated boundary conditions , 2017 .

[6]  Ahmed Alsaedi,et al.  Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities , 2017 .

[7]  Ravi P. Agarwal,et al.  Fractional Differential Equations with Nonlocal (Parametric Type) Anti-Periodic Boundary Conditions , 2017 .

[8]  Carla M. A. Pinto,et al.  A delay fractional order model for the co-infection of malaria and HIV/AIDS , 2017 .

[9]  Bashir Ahmad,et al.  Sharp estimates for the unique solution of two-point fractional-order boundary value problems , 2017, Appl. Math. Lett..

[10]  A. Alsaedi,et al.  Sequential fractional differential equations and unification of anti-periodic and multi-point boundary conditions , 2017 .

[11]  Ahmed Alsaedi,et al.  A coupled system of Hadamard type sequential fractional differential equations with coupled strip conditions , 2016 .

[12]  B. Ahmad,et al.  Quantum Calculus: New Concepts, Impulsive Ivps and Bvps, Inequalities , 2016 .

[13]  S. Rezapour,et al.  The existence of solution for a k-dimensional system of fractional differential inclusions with anti-periodic boundary value problems , 2016 .

[14]  A. Alsaedi,et al.  Existence theorems for semi-linear Caputo fractional differential equations with nonlocal discrete and integral boundary conditions , 2016 .

[15]  Coupled systems of Riemann-Liouville fractional differential equations with Hadamard fractional integral boundary conditions , 2016 .

[16]  A. Alsaedi,et al.  Existence theory for sequential fractional differential equations with anti-periodic type boundary conditions , 2016 .

[17]  S. Rezapour,et al.  The Existence of Solution for a k -dimensional System of Fractional Di ff erential Inclusions with Anti-Periodic Boundary Value Conditions , 2016 .

[18]  Bashir Ahmad,et al.  Dynamic analysis of time fractional order phytoplankton–toxic phytoplankton–zooplankton system , 2015 .

[19]  Donal O'Regan,et al.  Extremal solutions for nonlinear fractional boundary value problems with p-Laplacian , 2015, J. Comput. Appl. Math..

[20]  Jinrong Wang,et al.  Analysis of fractional order differential coupled systems , 2015 .

[21]  Hailong Ye,et al.  Initial value problem for nonlinear fractional differential equations with sequential fractional derivative , 2015 .

[22]  A. Alsaedi,et al.  A Study of Sequential Fractional q-integro-difference Equations with Perturbed Anti-periodic Boundary Conditions , 2015 .

[23]  Chengbo Zhai,et al.  Properties of positive solutions to a class of four-point boundary value problem of Caputo fractional differential equations with a parameter , 2014, Commun. Nonlinear Sci. Numer. Simul..

[24]  Johnny Henderson,et al.  Eigenvalue comparison for fractional boundary value problems with the Caputo derivative , 2014 .

[25]  Hari M. Srivastava,et al.  Modelling Fractal Waves on Shallow Water Surfaces via Local Fractional Korteweg-de Vries Equation , 2014 .

[26]  R. Agarwal,et al.  Existence Theory for -Antiperiodic Boundary Value Problems of Sequential -Fractional Integrodifferential Equations , 2014 .

[27]  B. Ahmad,et al.  A higher-order nonlocal three-point boundary value problem for sequential fractional differential equations , 2014 .

[28]  Guanrong Chen,et al.  Chaos synchronization in fractional differential systems , 2013, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[29]  A. Alsaedi,et al.  On fractional differential inclusions with anti-periodic type integral boundary conditions , 2013 .

[30]  A. Alsaedi,et al.  On a New Class of Antiperiodic Fractional Boundary Value Problems , 2013 .

[31]  M. Benchohra,et al.  Fractional Differential Equations with Anti-Periodic Boundary Conditions , 2013 .

[32]  G. Chai.  Existence results for anti-periodic boundary value problems of fractional differential equations , 2013, Advances in Difference Equations.

[33]  D. Baleanu,et al.  LMI-based stabilization of a class of fractional-order chaotic systems , 2013 .

[34]  Masahiro Yamamoto,et al.  Determination of order in fractional diffusion equation , 2013 .

[35]  JinRong Wang,et al.  On recent developments in the theory of boundary value problems for impulsive fractional differential equations , 2012, Comput. Math. Appl..

[36]  Wenbin Liu,et al.  An anti-periodic boundary value problem for the fractional differential equation with a p-Laplacian operator , 2012, Appl. Math. Lett..

[37]  A. Alsaedi,et al.  On Antiperiodic Boundary Value Problems for Higher-Order Fractional Differential Equations , 2012 .

[38]  F. Wang,et al.  Anti-periodic fractional boundary value problems for nonlinear differential equations of fractional order , 2012 .

[39]  Yongsheng Ding,et al.  Optimal Control of a Fractional-Order HIV-Immune System With Memory , 2012, IEEE Transactions on Control Systems Technology.

[40]  A. Cernea.  On the existence of solutions for fractional differential inclusions with anti-periodic boundary conditions , 2012 .

[41]  Saudi Arabia,et al.  RIEMANN-LIOUVILLE FRACTIONAL DIFFERENTIAL EQUATIONS WITH FRACTIONAL BOUNDARY CONDITIONS , 2012 .

[42]  B. Ahmad,et al.  A STUDY OF IMPULSIVE FRACTIONAL DIFFERENTIAL INCLUSIONS WITH ANTI-PERIODIC BOUNDARY CONDITIONS , 2012 .

[43]  Ivo Petráš,et al.  Simulation of Drug Uptake in a Two Compartmental Fractional Model for a Biological System. , 2011, Communications in nonlinear science & numerical simulation.

[44]  Bashir Ahmad,et al.  Anti-periodic fractional boundary value problems , 2011, Comput. Math. Appl..

[45]  Ravi P. Agarwal,et al.  Existence theory for anti-periodic boundary value problems of fractional differential equations and inclusions , 2011, Comput. Math. Appl..

[46]  B. Ahmad,et al.  Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional or , 2011 .

[47]  Bashir Ahmad,et al.  Existence of Solutions for Impulsive Anti-periodic Boundary Value Problems of Fractional Order , 2011 .

[48]  Bashir Ahmad,et al.  Existence of solutions for fractional differential equations of order q∈(2,3] with anti-periodic boundary conditions , 2010 .

[49]  Bashir Ahmad,et al.  Existence of solutions for anti-periodic boundary value problems involving fractional differential equations via Leray-Schauder degree theory , 2010 .

[50]  Ahmed Alsaedi,et al.  Existence of Solutions for Integrodifferential Equations of Fractional Order with Antiperiodic Boundary Conditions , 2009 .

[51]  Bashir Ahmad,et al.  Existence of Solutions for Fractional Differential Inclusions with Antiperiodic Boundary Conditions , 2009 .

[52]  V. Lakshmikantham,et al.  Basic theory of fractional differential equations , 2008 .

[53]  M. Dentz,et al.  Modeling non‐Fickian transport in geological formations as a continuous time random walk , 2006 .

[54]  A. Granas,et al.  Fixed Point Theory , 2003 .

[55]  Brian Clark,et al.  Physics in Oil Exploration , 2002 .

[56]  J. Klafter,et al.  The random walk's guide to anomalous diffusion: a fractional dynamics approach , 2000 .

[57]  Naomichi Hatano,et al.  Dispersive transport of ions in column experiments: An explanation of long‐tailed profiles , 1998 .

[58]  L. Gelhar,et al.  Field study of dispersion in a heterogeneous aquifer: 2. Spatial moments analysis , 1992 .

[59]  E. Eric Adams,et al.  Field study of dispersion in a heterogeneous aquifer , 1992 .

[60]  A. Méhauté,et al.  Introduction to transfer and motion in fractal media: The geometry of kinetics , 1983 .

[61]  Keith B. Oldham,et al.  Semiintegral electroanalysis. Theory and verification , 1972 .