Existence, uniqueness and continuous dependence of solutions to conformable stochastic differential equations

[1]  Raed Ali Al-Khasawneh,et al.  Series solutions for nonlinear time-fractional Schrödinger equations: Comparisons between conformable and Caputo derivatives , 2020 .

[2]  Raed Ali Al-Khasawneh,et al.  Series solutions for the Laguerre and Lane-Emden fractional differential equations in the sense of conformable fractional derivative , 2019 .

[3]  Dumitru Baleanu,et al.  Mittag-Leffler stability analysis of fractional discrete-time neural networks via fixed point technique , 2019, Nonlinear Analysis: Modelling and Control.

[4]  S. Momani,et al.  Solitary solutions for time-fractional nonlinear dispersive PDEs in the sense of conformable fractional derivative. , 2019, Chaos.

[5]  T. Hayat,et al.  Series solutions of nonlinear conformable fractional KdV-Burgers equation with some applications , 2019, The European Physical Journal Plus.

[6]  D. O’Regan,et al.  Existence and Ulam’s Stability for Conformable Fractional Differential Equations with Constant Coefficients , 2019 .

[7]  José A. Tenreiro Machado,et al.  A critical analysis of the conformable derivative , 2018, Nonlinear Dynamics.

[8]  Muhammad Adil Khan,et al.  Generalized conformable fractional operators , 2019, J. Comput. Appl. Math..

[9]  Properties of G-martingales with finite variation and the application to G-Sobolev spaces , 2016, Stochastic Processes and their Applications.

[10]  Dazhi Zhao,et al.  A new framework for multivariate general conformable fractional calculus and potential applications , 2018, Physica A: Statistical Mechanics and its Applications.

[11]  Yong Zhou,et al.  Convergence analysis for iterative learning control of conformable fractional differential equations , 2018, Mathematical Methods in the Applied Sciences.

[12]  A. Chadha,et al.  Existence and exponential stability for neutral stochastic fractional differential equations with impulses driven by Poisson jumps , 2018 .

[13]  J. Rosales,et al.  Newton’s law of cooling with fractional conformable derivative , 2018 .

[14]  Dipankar Kumar,et al.  Modified Kudryashov method via new exact solutions for some conformable fractional differential equations arising in mathematical biology , 2018 .

[15]  Hongwei Zhou,et al.  Conformable derivative approach to anomalous diffusion , 2018 .

[16]  H. T. Tuan,et al.  Asymptotic separation between solutions of Caputo fractional stochastic differential equations , 2017, 1711.08622.

[17]  Delfim F. M. Torres,et al.  Existence of solution to a local fractional nonlinear differential equation , 2016, J. Comput. Appl. Math..

[18]  M. Pospísil,et al.  Sturm’s theorems for conformable fractional differential equations , 2016 .

[19]  A. Gökdogan,et al.  Solution of Conformable Fractional Ordinary Differential Equations via Differential Transform Method , 2016 .

[20]  Won Sang Chung,et al.  Fractional Newton mechanics with conformable fractional derivative , 2015, J. Comput. Appl. Math..

[21]  Thabet Abdeljawad,et al.  On conformable fractional calculus , 2015, J. Comput. Appl. Math..

[22]  Z. Al-Zhour New techniques for solving some matrix and matrix differential equations , 2015 .

[23]  M. Sababheh,et al.  A new definition of fractional derivative , 2014, J. Comput. Appl. Math..

[24]  Yong Zhou Basic Theory of Fractional Differential Equations , 2014 .

[25]  M. A. Hammad,et al.  ABEL'S FORMULA AND WRONSKIAN FOR CONFORMABLE FRACTIONAL DIFFERENTIAL EQUATIONS , 2014 .

[26]  A new approach to the group analysis of one-dimensional stochastic differential equations , 2014 .

[27]  Yong Zhou,et al.  On the concept and existence of solution for impulsive fractional differential equations , 2012 .

[28]  S. Peng,et al.  Backward stochastic differential equations driven by G-Brownian motion , 2012, 1206.5889.

[29]  Z. Al-Zhour Efficient Solutions of Coupled Matrix and Matrix Differential Equations , 2012 .

[30]  Ralf Metzler,et al.  Fractional dynamics : recent advances , 2011 .

[31]  Carlos Lizama,et al.  Almost automorphic mild solutions to fractional differential equations , 2008 .

[32]  Johnny Henderson,et al.  Existence results for fractional order functional differential equations with infinite delay , 2008 .

[33]  Zeyad Abdel Aziz Al Zhour,et al.  Vector least-squares solutions for coupled singular matrix equations , 2007 .

[34]  Yong-sheng Ding,et al.  A generalized Gronwall inequality and its application to a fractional differential equation , 2007 .

[35]  Adem Kiliçman,et al.  Kronecker operational matrices for fractional calculus and some applications , 2007, Appl. Math. Comput..

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

[37]  S. Peng Multi-dimensional G-Brownian motion and related stochastic calculus under G-expectation , 2006, math/0601699.

[38]  X. Mao,et al.  Stochastic Differential Equations and Applications , 1998 .