TY - BOOK AU - Kilbas, A. AU - Srivastava, M. H. AU - Trujillo, J. J. PY - 2006 DA - 2006// TI - Theory and Application of Fractional Differential Equations PB - Elsevier CY - Amsterdam ID - Kilbas2006 ER - TY - BOOK AU - Miller, K. S. AU - Ross, B. PY - 1993 DA - 1993// TI - An Introduction to the Fractional Calculus and Fractional Differential Equations PB - Wiley CY - New York ID - Miller1993 ER - TY - BOOK AU - Podlubny, I. PY - 1999 DA - 1999// TI - Fractional Differential Equations PB - Academic Press CY - San Diego ID - Podlubny1999 ER - TY - JOUR AU - Guy, J. PY - 2008 DA - 2008// TI - Modeling fractional stochastic systems an non-random fractional dynamics driven by Brownian motions JO - Appl. Math. Model. VL - 32 UR - https://doi.org/10.1016/j.apm.2007.02.020 DO - 10.1016/j.apm.2007.02.020 ID - Guy2008 ER - TY - BOOK AU - Hilfer, R. PY - 2000 DA - 2000// TI - Applications of Fractional Calculus in Physics PB - World Scientific CY - River Edge UR - https://doi.org/10.1142/9789812817747 DO - 10.1142/9789812817747 ID - Hilfer2000 ER - TY - BOOK AU - Lakshmikantham, V. AU - Leela, S. AU - Devi, J. V. PY - 2009 DA - 2009// TI - Theory of Fractional Dynamical Systems PB - Cambridge Scientific Publishers CY - Cambridge ID - Lakshmikantham2009 ER - TY - JOUR AU - Li, C. AU - Qian, D. AU - Chen, Y. Q. PY - 2011 DA - 2011// TI - On Riemann-Liouville and Caputo derivatives JO - Discrete Dyn. Nat. Soc. VL - 2011 ID - Li2011 ER - TY - JOUR AU - Agarwal, R. P. PY - 1969 DA - 1969// TI - Certain fractional q-integrals and q-derivatives JO - Proc. Camb. Philos. Soc. VL - 66 UR - https://doi.org/10.1017/S0305004100045060 DO - 10.1017/S0305004100045060 ID - Agarwal1969 ER - TY - JOUR AU - Díaz, J. B. AU - Osler, T. J. PY - 1974 DA - 1974// TI - Differences of fractional order JO - Math. Comput. VL - 28 UR - https://doi.org/10.2307/2005825 DO - 10.2307/2005825 ID - Díaz1974 ER - TY - JOUR AU - Al-Salam, W. A. PY - 1966 DA - 1966// TI - Some fractional q-integrals and q-derivatives JO - Proc. Camb. Philos. Soc. VL - 15 ID - Al-Salam1966 ER - TY - JOUR AU - Grey, H. L. AU - Zhang, N. F. PY - 1988 DA - 1988// TI - On a new definition of the fractional difference JO - Math. Comput. VL - 50 UR - https://doi.org/10.1090/S0025-5718-1988-0929549-2 DO - 10.1090/S0025-5718-1988-0929549-2 ID - Grey1988 ER - TY - JOUR AU - Atici, F. M. AU - Eloe, P. W. PY - 2007 DA - 2007// TI - A transform method in discrete fractional calculus JO - Int. J. Differ. Equ. VL - 2 ID - Atici2007 ER - TY - JOUR AU - Atici, F. M. AU - Eloe, P. W. PY - 2007 DA - 2007// TI - Fractional q-calculus on a time scale JO - J. Nonlinear Math. Phys. VL - 14 UR - https://doi.org/10.2991/jnmp.2007.14.3.4 DO - 10.2991/jnmp.2007.14.3.4 ID - Atici2007 ER - TY - JOUR AU - Atici, F. M. AU - Eloe, P. W. PY - 2009 DA - 2009// TI - Discrete fractional calculus with the nabla operator JO - Electron. J. Qual. Theory Differ. Equ. VL - 2009 ID - Atici2009 ER - TY - JOUR AU - Fang, J. P. PY - 2010 DA - 2010// TI - Some applications of q-differential operator JO - J. Korean Math. Soc. VL - 47 UR - https://doi.org/10.4134/JKMS.2010.47.2.223 DO - 10.4134/JKMS.2010.47.2.223 ID - Fang2010 ER - TY - JOUR AU - Mansour, Z. S. I. PY - 2009 DA - 2009// TI - Linear sequential q-difference equations of fractional order JO - Fract. Calc. Appl. Anal. VL - 12 ID - Mansour2009 ER - TY - JOUR AU - Dassios, I. K. AU - Baleanu, D. I. PY - 2013 DA - 2013// TI - On a singular system of fractional nabla difference equations with boundary conditions JO - Bound. Value Probl. VL - 2013 UR - https://doi.org/10.1186/1687-2770-2013-148 DO - 10.1186/1687-2770-2013-148 ID - Dassios2013 ER - TY - JOUR AU - Jagan Mohan, J. AU - Deekshitulu, G. V. S. R. PY - 2014 DA - 2014// TI - Solutions of nabla fractional difference equations using N-transforms JO - Commun. Math. Stat. VL - 2 UR - https://doi.org/10.1007/s40304-014-0027-9 DO - 10.1007/s40304-014-0027-9 ID - Jagan Mohan2014 ER - TY - JOUR AU - Jarad, F. AU - Kaymakçalan, B. AU - Teş, K. PY - 2012 DA - 2012// TI - A new transform method in nabla discrete fractional calculus JO - Adv. Differ. Equ. VL - 2012 UR - https://doi.org/10.1186/1687-1847-2012-190 DO - 10.1186/1687-1847-2012-190 ID - Jarad2012 ER - TY - JOUR AU - Karpuz, B. PY - 2014 DA - 2014// TI - Volterra theory on time scales JO - Results Math. VL - 65 UR - https://doi.org/10.1007/s00025-013-0344-4 DO - 10.1007/s00025-013-0344-4 ID - Karpuz2014 ER - TY - JOUR AU - Segi Rahmat, M. R. PY - 2014 DA - 2014// TI - Integral transform method for solving fractional dynamic equations on time scales JO - Abstr. Appl. Anal. VL - 2014 UR - https://doi.org/10.1155/2014/261348 DO - 10.1155/2014/261348 ID - Segi Rahmat2014 ER - TY - JOUR AU - Wu, G. -. C. AU - Baleanu, D. PY - 2013 DA - 2013// TI - New applications of the variational iteration method- from differential equations to q-fractional difference equations JO - Adv. Differ. Equ. VL - 2013 UR - https://doi.org/10.1186/1687-1847-2013-21 DO - 10.1186/1687-1847-2013-21 ID - Wu2013 ER - TY - JOUR AU - Abdeljawad, T. PY - 2011 DA - 2011// TI - On Riemann and Caputo fractional differences JO - Comput. Math. Appl. VL - 62 UR - https://doi.org/10.1016/j.camwa.2011.03.036 DO - 10.1016/j.camwa.2011.03.036 ID - Abdeljawad2011 ER - TY - JOUR AU - Čermák, J. AU - Nechvátal, L. PY - 2010 DA - 2010// TI - On (q,h)$(q,h)$-analogue of fractional calculus JO - J. Nonlinear Math. Phys. VL - 17 UR - https://doi.org/10.1142/S1402925110000532 DO - 10.1142/S1402925110000532 ID - Čermák2010 ER - TY - JOUR AU - Čermák, J. AU - Kisela, T. AU - Nechvátal, L. PY - 2011 DA - 2011// TI - Discrete Mittag-Leffler functions in linear fractional difference equations JO - Abstr. Appl. Anal. VL - 2011 ID - Čermák2011 ER - TY - BOOK AU - Bohner, M. AU - Peterson, A. PY - 2001 DA - 2001// TI - Dynamic Equations on Time Scales: An Introduction with Applications PB - Birkhäuser CY - Boston UR - https://doi.org/10.1007/978-1-4612-0201-1 DO - 10.1007/978-1-4612-0201-1 ID - Bohner2001 ER - TY - BOOK PY - 2003 DA - 2003// TI - Advances in Dynamic Equations on Time Scales PB - Birkhäuser CY - Boston ID - ref27 ER - TY - JOUR AU - Segi Rahmat, M. R. PY - 2011 DA - 2011// TI - The (q,h)$(q,h)$-Laplace transform on discrete time scales JO - Comput. Math. Appl. VL - 62 UR - https://doi.org/10.1016/j.camwa.2011.05.008 DO - 10.1016/j.camwa.2011.05.008 ID - Segi Rahmat2011 ER - TY - JOUR AU - Segi Rahmat, M. R. PY - 2011 DA - 2011// TI - On some (q,h)$(q,h)$-analogues of integral inequalities on discrete time scales JO - Comput. Math. Appl. VL - 62 UR - https://doi.org/10.1016/j.camwa.2011.06.022 DO - 10.1016/j.camwa.2011.06.022 ID - Segi Rahmat2011 ER - TY - JOUR AU - Agarwal, R. P. AU - Bohner, M. PY - 1999 DA - 1999// TI - Basic calculus on time scales and some of its applications JO - Results Math. VL - 35 UR - https://doi.org/10.1007/BF03322019 DO - 10.1007/BF03322019 ID - Agarwal1999 ER - TY - JOUR AU - Kisela, T. PY - 2013 DA - 2013// TI - Power functions and essentials of fractional calculus on isolated time scales JO - Adv. Differ. Equ. VL - 2013 UR - https://doi.org/10.1186/1687-1847-2013-259 DO - 10.1186/1687-1847-2013-259 ID - Kisela2013 ER - TY - JOUR AU - Williams, P. A. PY - 2012 DA - 2012// TI - Fractional calculus on time scales with Taylor’s theorem JO - Fract. Calc. Appl. Anal. VL - 15 UR - https://doi.org/10.2478/s13540-012-0043-y DO - 10.2478/s13540-012-0043-y ID - Williams2012 ER -