___

• Abu-Saris, R. and Al-Mdallal, Q., On the asymptotic stability of linear system of fractional-order difference equations, Fract. Calc. Appl. Anal. 16(3) (2013), 613-629.
• Acar, N. and Atici, F. M., Exponential functions of discrete fractional calculus, Appl. Anal. Discrete Math. 7 (2013), 343-353.
• Atici, F. M. and Eloe, P. W., Discrete fractional calculus with the nabla operator, Electron. J. Qual. Theory Differ. Equ. 3 (2009), 1-12.
• Atici, F. M. and Uyanik, M., Analysis of discrete fractional operators, Appl. Anal. Discrete Math. 9(1) (2015), 139-149.
• Baoguo, J., Erbe, L. and Peterson, A., Convexity for nabla and delta fractional differences, J. Difference Equ. Appl. 21(4) (2015), 360-373.
• Belgacem, F. B. M., Sumudu Transform Applications to Bessel Functions and Equations, Appl. Math. Sci. 4(74) (2010), 3665-3686.
• Benci, V. and D'Aprile, T., The semiclassical limit of the nonlinear Schrödinger equation in a radial potential, J. Differential Equations 184(1) (2002), 109-138.
• Chaurasia, V. B. L., Dubey, R. S. and Belgacem, F. B. M., Fractional radial diffusion equation analytical solution via Hankel and Sumudu transforms, Mathematics in Engineering, Science and Aerospace 3(2) (2012), 179-188.
• Cheng, Y.-F. and Dai, T.-Q., Exact solution of the Schrödinger equation for the modified Kratzer potential plus a ring-shaped potential by the Nikiforov-Uvarov method, Phys. Scr. 75(3) (2007), 274.
• Chen, Y. and Tang, X., The difference between a class of discrete fractional and integer order boundary value problems, Commun. Nonlinear Sci. Numer. Simulat. 19 (2014), 4057-4067.
• Goswami, P. and Belgacem, F. B. M., Fractional differential equation solutions through a Sumudu rational, Nonlinear Sci. 19(4) (2012), 591-598.
• Gupta, V. G., Sharma, B. and Belgacem, F. B. M., On the solutions of generalized fractional kinetic equations, Appl. Math. Sci. 5(19) (2011), 899-910.
• He, Y. and Hou, C., Existence of solutions for discrete fractional boundary value problems with p-Laplacian operator, J. Math. Res. Appl. 34 (2014), 197-208.
• Holmer, J. and Roudenko, S., A sharp condition for scattering of the radial 3D cubic nonlinear Schrödinger equation, Commun. Math. Phys. 282 (2008), 435-467.
• Katatbeh, Q. D. and Belgacem, F. B. M., Applications of the Sumudu transform to fractional differential equations, Nonlinear Stud. 18(1) (2011), 99-112.
• Lv, W., Existence and uniqueness of solutions for a discrete fractional mixed type sum-difference equation boundary value problem, Discrete Dyn. Nat. Soc. 2015 (2015), 1-10. doi: 10.1155/2015/376261.
• Mohan, J. J., Solutions of perturbed nonlinear nabla fractional difference equations, Novi Sad J. Math. 43 (2013), 125-138.
• Mohan, J. J., Variation of parameters for nabla fractional difference equations, Novi Sad J. Math. 44(2) (2014), 149-159.
• Ozturk, O., A study on nabla discrete fractional operator in mass-spring-damper system, New Trends Math. Sci. 4(4) (2016), 137-144.
• Ozturk, O. and Yilmazer, R., Solutions of the radial Component of the fractional Schrödinger equation using N-fractional calculus operator, Differ. Equ. Dyn. Syst. (2016), 1-9. doi: 10.1007/s12591-016-0308-8.
• Reunsumrit, J. and Sitthiwirattham, T., On positive solutions to fractional sum boundary value problems for nonlinear fractional difference equations, Math. Methods Appl. Sci. 39 (2016), 2737-2751.
• Tselios, K. and Simos, T. E., Symplectic methods for the numerical solution of the radial Shrödinger equation, J. Math. Chem. 34(1-2) (2003), 83-94.
• Yilmazer, R. and Ozturk, O., Explicit solutions of singular differential equation by means of fractional calculus operators, Abstr. Appl. Anal. 2013 (2013), 1-6. doi: 10.1155/2013/715258.
• Yilmazer, R., Inc, M., Tchier, F. and Baleanu, D., Particular solutions of the confluent hypergeometric differential equation by using the nabla fractional calculus operator, Entropy 18(2) (2016), 1-6. doi: 10.3390/e18020049
• Znojil, M., On exact solutions of the Schrödinger equation, J. Phys. A: Math. Gen. 16(2) (1983), 279.