Books:

• Fixed Point Theory for Operators on Cartesian Product Spaces, (Romanian), University Press, 2002.

• Differential Equations and Systems of Differential Equations, (Romanian), University Press, 2009.

Articles:

1. M.A. Şerban, Iterative methods for some functional-differential equations, Bull. Math. Soc. Sc. Math. Roumanie, Tome 41(89), No. 4,1998, 295-310.
2. M.A. Şerban, Technique of fixed point structure for mappings on product spaces, Seminar on Fixed Point Theory ,1998, 1-18.
3. M.A. Şerban, Existence and uniqueness theorems for positive solutions of Chandrasekhar's equation, Mathematica, Tome 41(64), No. 1, 1999, 61-103.
4. M.A. Şerban, Fiber j-contractions, Studia Univ. Babes-Bolyai Univ., Mathematica, Vol. 44(1999), No. 3, 99-108.
5. M. A. Şerban, Some generalization of Edelstein's theorem for operators on product spaces, Studia Univ. ''Babeş-Bolyai'', Mathematica, 45(2000), No. 3, 91-98.
6. M. A. Şerban, Existence of positive solutions for Chandrasekhar's equation, Itinerant Seminar of Functional Equations, Approximation and Convexity, 2000, 225-238.
7. M. A. Şerban, Global asymptotic stability for some difference equations via  fixed point technique,  Seminar on Fixed Point Theory, Nr. 2, 2001, 90-99.
8. M. A. Şerban, Global Asymptotic Stability Results for Some Difference Equations, Bull. for Appl & Computer Math., Proceeding of the PAMM 135 Conference, Baia-Mare, 4-7 Oct. 2001.
9. M.A. Şerban, Fixed point theorems for operators on cartesian product spaces and applications, Seminar on Fixed Point Theory,  3(2002), 163-172.
10. M.A. Şerban, Application of fiber Picard operators to integral equations, Bul. Ştiinţ. Univ. Baia Mare, Ser. B, Matematică-Informatică, Vol. 43(2002), Nr. 1, 119-128.
11. M.A. Şerban, Data dependence theorems for operators on Cartesian product spaces, General Mathematics, Vol. 11, No. 1-2 (2003), 77-86.
12. M. A. Şerban, Exponential stability for equilibrium solution of some difference equations, PU.M.A., 15(2004), No. 2-3, 303-311.
13. I. A. Rus, A. Petruşel, M.A. Şerban, Weakly Picard Operators: equivalent definitions, applications and  open problems, Fixed Point Theory, 7(2006), No. 1, 3-22.
14. M.A. Şerban, V.A. Ilea, An existence result for mixed-type functional integro-differential equation, Automation Computers Applied Mathematics, vol. 15(2006), 7-12.
15. M.A. Şerban, Integal equations via weakly Picard operations technique, PU.M.A., Vol 17 (2006), No. 3-4
16. V. A. Ilea, M. A. Şerban, An existence result of the solution for mixed type functional differential equations with parameter, Non. Anal. Forum, 12(1) (2007), 59-65.
17. M. Dobriţoiu, I.A. Rus, M.A. Şerban, An integral equation arising from infection disease via Picard operators, Studia Univ. ''Babeş-Bolyai'', Mathematica, 52(2007), No. 3, 81-94.
18. M.A. Şerban, Fiber contraction theorem in generalized metric spaces, Automation Computers Applied Mathematics, vol. 16(2007), 139-144.
19. I.A.Rus, M.A. Şerban, Some generalizations of a Cauchy lemma and applications, Topics in Mathematics, Computer Science and Philosophy, A Festschrift for Wolfgang W. Breckner, 173-181, Editor Şt. Cobzaş, University Press, Cluj-Napoca, 2008.
20. M.A. Şerban, Data dependence for some functional-integral equations, J. of Applied Mathematics, 1(2008), No. 1, 219-233.
21. M.A. Şerban, Spaces with perturbed metrics and fixed point theorems, Automat. Comput. Appl. Math, 17 (2008), no. 2, 323–334.
22. M.A. Şerban, Fixed point theorems for operators on cartesian product, Fixed Point Theory, 9(2008), No. 1, 331-350.
23. A. Petruşel, I. A. Rus, M.A. Şerban, Fixed points for operators on generalized metric spaces, CUBO A Mathematical Journal, 10(2008), No. 4, 45-66.
24. M.A. Şerban, Fixed point theorems for triangular operators, Carpathian J. Math., 24(2008), 409-416.
25. I. A. Rus, A. Petruşel, M.A. Şerban, Fibre Picard Operators on Gauge spaces and Applications, Zeitschrift f¨ur Analysis und ihre Anwendungen, 27(2008), 399-415.
26. M.A. Şerban, A nonlinear mixed type Volterra-Fredholm functional integral equation via Perov's theorem, TJMM, 2(2010), No. 1, 75-87.
27. M. Dobriţoiu, M.A. Şerban, A system of integral equations arising from infectious diseases, via Picard operators, Carpathian J. Math., 26(2010), 170-183.
28. M.A. Şerban, I. A. Rus, A. Petruşel, A class of abstract Volterra equations, via weakly Picard operators technique, Math. Inequal. Appl., 13(2010), no. 2, 255–269.
29. I. A. Rus, M.A. Şerban, Operators on infinite dimensional cartesian product, Analele Univ. de Vest, Timisoara, Seria Matematica-Informatica, 48(2010), No. 1-2, 253-263.
30. R. Precup, D. Trif, M.A. Şerban, A. Cucuianu, A mathematical approach to cell dynamics before and after allogeneic bone marrow transplantation, Ann. Tiberiu Popoviciu Semin. Funct. Equ. Approx. Convexity, 8 (2010), 167–175.
31. C. Crăciun, M.A. Şerban, A nonlinear integral equation via Picard operators, Fixed Point Theory, 12(2011), No. 1, 57-70.
32. Precup, Radu; Şerban, Marcel-Adrian; Trif, Damian, Asymptotic stability for cell dynamics after bone marrow transplantation, 8th Joint Conference on Mathematics and Computer Science - MaCS 2010, 51-62, NOVADAT Ltd., Győr, 2011.
33. I. A. Rus, M.A. Şerban, D. Trif, Step method for some integral equations from biomathematics, Bull. Math. Soc. Sci. Math. Roumanie, Tome 54(102)(2011) No. 2, 167–183.
34. Radu Precup, Marcel-Adrian Serban, Damian Trif , Andrei Cucuianu, A Planning Algorithm for Correction Therapies After Allogeneic Stem Cell Transplantation, J. Math. Model. Algor., 11(2012), Issue 3, 309-323, DOI 10.1007/s10852-012-9187-3.
35. Ilea, V., Otrocol, D., Serban, M.-A,; Trif, D., Integro-differential equation with two time lags, Fixed Point Theory ,13 (2012), no. 1, 85–97