Nonlinear fractional integro-differential Langevin equation involving two fractional orders with three-point multi-term fractional integral boundary conditions

[1]  Bashir Ahmad,et al.  Sequential fractional differential equations with three-point boundary conditions , 2012, Comput. Math. Appl..

[2]  I. J. Cabrera,et al.  Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions , 2012 .

[3]  J. Tariboon,et al.  Existence results of fractional integro-differential equations with m-point multi-term fractional order integral boundary conditions , 2012 .

[4]  W. Coffey,et al.  The Langevin equation : with applications to stochastic problems in physics, chemistry, and electrical engineering , 2012 .

[5]  A. Alsaedi,et al.  A nonlocal three-point inclusion problem of Langevin equation with two different fractional orders , 2012 .

[6]  Ahmed Alsaedi,et al.  A study of nonlinear Langevin equation involving two fractional orders in different intervals , 2012 .

[7]  Trifce Sandev,et al.  Generalized Langevin equation with a three parameter Mittag-Leffler noise , 2011 .

[8]  Yige Zhao,et al.  The existence of multiple positive solutions for boundary value problems of nonlinear fractional differential equations , 2011 .

[9]  Anping Chen,et al.  Existence of Solutions to Nonlinear Langevin Equation Involving Two Fractional Orders with Boundary Value Conditions , 2011 .

[10]  D. O’Regan,et al.  Positive solutions for Dirichlet problems of singular nonlinear fractional differential equations , 2010 .

[11]  Bashir Ahmad,et al.  On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order , 2010, Appl. Math. Comput..

[12]  F. Mainardi.  Fractional Calculus and Waves in Linear Viscoelasticity: An Introduction to Mathematical Models , 2010 .

[13]  Bashir Ahmad,et al.  Existence of solutions for irregular boundary value problems of nonlinear fractional differential equations , 2010, Appl. Math. Lett..

[14]  S. C. Lim,et al.  Fractional generalized Langevin equation approach to single-file diffusion , 2009, 0910.4734.

[15]  Ming Li,et al.  Langevin equation with two fractional orders , 2008 .

[16]  O. Agrawal,et al.  Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering , 2007 .

[17]  Radu Balescu,et al.  V-Langevin equations, continuous time random walks and fractional diffusion , 2007, 0704.2517.

[18]  H. Srivastava,et al.  Theory and Applications of Fractional Differential Equations , 2006 .

[19]  Giorgio Turchetti,et al.  Diffusion and memory effects for stochastic processes and fractional Langevin equations , 2003 .

[20]  T. Kaczorek,et al.  Fractional Differential Equations , 2015 .

[21]  Bashir Ahmad,et al.  NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS AND INCLUSIONS OF ARBITRARY ORDER AND MULTI-STRIP BOUNDARY CONDITIONS , 2012 .

[22]  Weihua Jiang,et al.  Boundary Value Problems of Fractional Differential Equations at Resonance , 2012 .

[23]  Bashir Ahmad,et al.  A FOUR-POINT NONLOCAL INTEGRAL BOUNDARY VALUE PROBLEM FOR FRACTIONAL DIFFERENTIAL EQUATIONS OF ARBITRARY ORDER , 2011 .

[24]  R. Khan.  EXISTENCE AND APPROXIMATION OF SOLUTIONS TO THREE-POINT BOUNDARY VALUE PROBLEMS FOR FRACTIONAL DIFFERENTIAL EQUATIONS , 2011 .

[25]  Bashir Ahmad,et al.  Solvability of Nonlinear Langevin Equation Involving Two Fractional Orders with Dirichlet Boundary Conditions , 2010 .

[26]  H. Srivastava.  EXISTENCE RESULTS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS , 2010 .