+98 45 31505012    info@uma.ac.ir

University of Mohaghegh Ardabili


Members of Academic Board - Mohammadreza Abdollahpour

:: Sections List ::
:: ::
:: Dr Mohammadreza Abdollahpour | Back to CV page | [Print version] ::
Published articles

1.  Abdollahpour, M. R.; Bagarello, F.; Triolo, S. An invariant analytic orthonormalization procedure with applications. J. Math. Phys. 48 (2007), no. 10, 103513, 15 pp. (ISI)

2.  Abdollahpour, M. R.; Faroughi, M. H. Continuous G-frames in Hilbert spaces. Southeast Asian Bull. Math. 32 (2008), no. 1, 1--19.

3. Abdollahpour, M. R.; Faroughi, M. H.; Rahimi, A. pg-frames in Banach spaces. Methods Funct. Anal. Topology 13 (2007), no. 3, 201--210.

4. Abdollahpour, M. R.; Bagarello, F.; On some properties of g-frames and g-coherent states. Il Nuovo Cimento B, 125 no. 11 (2010), DOI 10.1393/ncb/i2010-10929-8. (ISI)

5. Abdollahpour, M. R.; Najati, A.; Approximation of the inverse g-frame operators. Proc. Indian Acad. Sci. (Math. Sci.) Vol. 121, No. 2, May 2011, pp. 143–154. (ISI)

6. Abdollahpour, M. R., Najati, A.; Stability of linear differential equations of third order, Appl. Math. Lett. 24 (2011) 1827-1830. (ISI)

7. Abdollahpour, M. R.; Najati, A.; Besselian g-frames and near g-Riesz bases, Applicable Analysis and Discrete Mathematics, 5 (2011), 259–270. (ISI)

8. Najati, A., Abdollahpour, M. R., and G. H. Kim; On Pexider Differences in topological vector spaces, Abstract and Applied Analysis, vol. 2011, Article ID 370104, 10 pages, 2011. doi:10.1155/2011/370104. (ISI)
9. Abdollahpour, M. R.; Najati, A.; G-frames and Hilbert Schmidt operators. Bull. Iranian Math. Soci., vol. 37 no. 4 (2011), pp. 141-155. (ISI)    

10. Abdollahpour, M. R.; Najati, A.;  Park, C.; Rassias, T. M.; Shin, D. Y., Approximate perfect differential equations of second order, Advances in Difference Eqations 2012, 2012: 225. (ISI)   

11. Abdollahpour, M. R., Najati, A.; G-frames as sums of g-orthonormal bases, Kyungpook Math. J., 53 (2013), 135-141. 

12. Najati, A.,  Abdollahpour, M.R., Osgooei, E., Saem, M.M.; More on sums of Hilbert space frames,  Bull. Korean Math. Soc. 50 (2013), No. 6, pp. 1841–1846. (ISI)

13. Abdollahpour, M.R., Shekari, A.: Frameness bound for frame of subspaces, Sahand Commun. Math. Anal. 1 (2014), No. 1, pp. 1-8.

14.  Abdollahpour, M. R., Najati, A.; Ultra g-Bessel sequences in Hilber spaces, Kyungpook Math. J., 54 (2014), 87-94. 

15.  Abdollahpour, M. R.,  Park, C.; Hyers-Ulam Stability of a class of differential equations of second order, J. Comput. Anal. Appl. 18 (2015), No. 5, pp. 899-903.   (ISI)

16. Abdollahpour, M. R.;  Dilation of dual g-frames to dual g-frames, Banach J. Math Anal. 9 (2015), No. 1, pp. 54-66. (ISI)

17. Abdollahpour, M. R.: Dilation of a family of g-frames, Wavelets and linear Algebra, 1 (2014), 9-18.

18. . Abdollahpour, M. R., Shekari, A., Park, C., Shin, D. Y.; Ultra Bessel sequences of subspaces in Hilbert spaces,  J. Comput. Anal. Appl. 19 (2015), No. 5, pp. 874-882.  (ISI)

19.  Abdollahpour, M. R., Najati, A.; On approximate Euler differential equations of third order, Mathematica Pannonica,  24 no. 2  (2013), 1-10.

20. Abdollahpour, M. R., Najati, A.; Hyers-Ulam Stability of a differential equation of third order, submitted.

21. Abdollahpour, M. R., Najati, A., Gavruta, P.; Multipliers of pg-bessel sequences in Banach spapces, submitted.

22. Abbas Najatia,, Mohammad Reza Abdollahpoura, Choonkil Parkb, On the stability of linear di erential equations of second order, Int. J. Nonlinear Anal. Appl. 8 (2017) No. 2, 65-70. (ISI)

23. M. R. Abdollahpoura,, A. Rahimib, Ultra Bessel sequences in direct sums of Hilbert spaces, Wavelets and Linear Algebra 2 (1) (2015) 55 - 64.

24. M.R.Abdollahpour, R.Aghayari, M.Th.Rassias, Hyers–Ulam stability of associated Laguerre differential equations in a subclass of analytic functions, J. Math.Anal.Appl.437(2016)605–612. (ISI)

25. M. R. ABDOLLAHPOUR AND Y. ALIZADEH, MULTIPLIERS OF CONTINUOUS G-FRAMES IN HILBERT SPACES, Bull. Iranian Math. Soc., Vol. 43 (2017), No. 2, pp. 291-305. (ISI)


27. M. R. ABDOLLAHPOUR and and M. Rassias, Hyers–Ulam stability of hypergeometric differential equations, Aequat. Math. (2018), DOI: 10.1007/s00010-018-0602-3 (ISI)

28. M. R. ABDOLLAHPOUR and Y. Khedmati, G-Duals of Continuous G-Frames and Their Perturbations, Results in Mathematics,  (2018) 73:152. (ISI)

29. A. YOUSEFZADEHEYNI and  M. R. ABDOLLAHPOUR, 𝑮-FRAMES POTENTIAL IN HILBERT SPACES, U.P.B. Sci. Bull., Series A,  81(1) (2019), 197-208. (ISI) 

:: ::