1.  Monje, Concepcin A., et al. Fractional-order systems and controls: fundamentals and applications. Springer Science and Business Media, 2010.
2.  Cheng, Xiyou, and Chengkui Zhong. ”Existence of positive solutions for a second-order ordinary differential system.” Journal of mathematical analysis and applications 312.1 (2005): 14-23.
3.  Miller, Kenneth S., and Bertram Ross. ”An introduction to the fractional calculus and fractional differential equations.” (1993).
4.  “Error Function”. En.Wikipedia.Org, 2017, https://en.wikipedia.org/wiki/Error-function.
5.  Lozier, Daniel W. “NIST digital library of mathematical functions.” Annals of Mathematics and Artificial Intelligence 38.1 (2003): 105-119.
6.  Craig, John W. ”A new, simple and exact result for calculating the probability of error for twodimensional signal constellations.” Military Communications Conference, 1991. MILCOM’91, Conference Record, Military Communications in a Changing World., IEEE. IEEE, 1991.
7.  Cody, William J. ”Algorithm 715: SPECFUNa portable FORTRAN package of special function routines and test drivers.” ACM Transactions on Mathematical Software (TOMS) 19.1 (1993): 22-30.
8.  Zaghloul, Mofreh R. ”On the calculation of the Voigt line profile: a single proper integral with a damped sine integrand.” Monthly Notices of the Royal Astronomical Society 375.3 (2007): 1043-1048.
9.  Chuan-Hsiang Han, Introduction to Matlab GPUA cceleration for Computational Finance. Pub. Date: December26,2013
10.  Abramowitz, Milton, and Irene A. Stegun. Handbook of mathematical functions: with formulas, graphs, and mathematical tables. Vol. 55. Courier Corporation, 1964.
11.  “NVIDIA On GPU Computing And The Difference Between Gpus And Cpus”. Nvidia.Com, 2017, http://www.nvidia.com/object/what-isgpucomputing.html.
12.  Mathai, Arakaparampil M., and Hans J. Haubold. Special functions for applied scientists. Springer Science+ Business Media, 2008

1. Monje, Concepcin A., et al. Fractional-order systems and controls: fundamentals and applications. Springer Science and Business Media, 2010.
2. Cheng, Xiyou, and Chengkui Zhong. ”Existence of positive solutions for a second-order ordinary differential system.” Journal of mathematical analysis and applications 312.1 (2005): 14-23.
3.  Miller, Kenneth S., and Bertram Ross. ”An introduction to the fractional calculus and fractional differential equations.” (1993). [4] “Error Function”. En.Wikipedia.Org, 2017, https://en.wikipedia.org/wiki/Error-function.
4. Lozier, Daniel W. “NIST digital library of mathematical functions.” Annals of Mathematics and Artificial Intelligence 38.1 (2003): 105-119.
5.  Craig, John W. ”A new, simple and exact result for calculating the probability of error for twodimensional signal constellations.” Military Communications Conference, 1991. MILCOM’91, Conference Record, Military Communications in a Changing World., IEEE. IEEE, 1991.
6.  Cody, William J. ”Algorithm 715: SPECFUNa portable FORTRAN package of special function routines and test drivers.” ACM Transactions on Mathematical Software (TOMS) 19.1 (1993): 22-30.
7.  Zaghloul, Mofreh R. ”On the calculation of the Voigt line profile: a single proper integral with a damped sine integrand.” Monthly Notices of the Royal Astronomical Society 375.3 (2007): 1043-1048.
8.  Chuan-Hsiang Han, Introduction to Matlab GPUA cceleration for Computational Finance. Pub. Date: December26,2013
9.  Abramowitz, Milton, and Irene A. Stegun. Handbook of mathematical functions: with formulas, graphs, and mathematical tables. Vol. 55. Courier Corporation, 1964.
10.  “NVIDIA On GPU Computing And The Difference Between Gpus And Cpus”. Nvidia.Com, 2017, http://www.nvidia.com/object/what-isgpucomputing.html.
11. Mathai, Arakaparampil M., and Hans J. Haubold. Special functions for applied scientists. Springer Science+ Business Media, 2008.

[1] Keith Oldham and Jerome Spanier. The fractional calculus theory and applications of differentiation and integration to arbitrary order, volume 111. Elsevier, 1974.

[2] Igor Podlubny. Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications, volume 198. Academic press, 1998.

[3] Cristobal A Navarro, Nancy Hitschfeld-Kahler, and Luis Mateu. A survey on parallel computing and its applications in data-parallel problems using gpu architectures. Communications in Computational Physics, 15(02):285– 329, 2014.

[4] Ian Buck, Tim Foley, Daniel Horn, Jeremy Sugerman, Kayvon Fatahalian, Mike Houston, and Pat Hanrahan. Brook for gpus: stream computing on graphics hardware. In ACM Transactions on Graphics (TOG), volume 23, pages 777–786. ACM, 2004.

[5] Wei Zhang and Xing Cai. Efficient implementations of the adams-bashforth-moulton method for solving fractional differential equations. Proceedings of FDA12, 2012.

[6] Parallel computation toolbox. URL: https://in.mathworks. com/help/distcomp/

[7] Karsten Ahnert, Denis Demidov, and Mario Mulansky. Solving ordinary differential equations on gpus. In Numerical Computations with GPUs, pages 125–157. Springer, 2014.

[8] Baida Zhang, Shuai Xu, Feng Zhang, Yuan Bi, and Linqi Huang. Accelerating matlab code using gpu: A review of tools and strategies. In Artificial Intelligence, Management Science and Electronic Commerce (AIMSEC), 2011 2nd International Conference on, pages 1875–1878. IEEE, 2011.

[9] CPU versus GPU architecture. accessed 15 July, 2017. URL: http://854320174.r.lightningbase-cdn.com/ wp-content/uploads/2013/03/gputech f2.png.

[10] Jacket - the gpu acceleration engine for matlab, 2017. URL: http://www.omatrix.com/jacket.html.

[11] Peter Messmer, Paul J Mullowney, and Brian E Granger. Gpulib: Gpu computing in high-level languages. Computing in Science & Engineering, 10(5):70–73, 2008.

[12] Changpin Li and Fanhai Zeng. Numerical methods for fractional calculus, volume 24. CRC Press, 2015.