Random differential operational calculus: Theory and applications

Computers and Mathematics with Applications

Volumn 59, Issue 1, 2010, Pages 115-125

  Villafuerte, L ^a   Braumann, C A ^b   Cortes J C ^c   Jodar L ^c  

^a UNIVERSIDAD AUTÓNOMA DE CHIAPAS   (Mexico)

^b UNIVERSITY OF ÉVORA   (Portugal)

^c UNIVERSITAT POLITÈCNICA DE VALÈNCIA   (Spain)

Author keywords

Mean fourth calculus; Mean square calculus; Random chain rule; Random differential equation

Indexed keywords

CHAIN RULES; DIFFERENTIAL PROBLEMS; FOURTH ORDER; INTEGRAL CALCULUS; MEAN SQUARE; PRODUCT RULE; RANDOM DIFFERENTIAL EQUATIONS; VARIABLE COEFFICIENTS;

CALCULATIONS; DIFFERENTIAL EQUATIONS; INTEGRAL EQUATIONS; RANDOM VARIABLES;

DIFFERENTIATION (CALCULUS);

EID: 73449103851     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2009.08.061     Document Type: Article

References (11)

1. MacCluer C.R. Industrial Mathematics (2000), Prentice Hall, New Jersey
2. Strand J.L. Random ordinary differential equations. J. Differential Equations 7 (1973) 538-553
3. Arnold L. Stochastic Differential Equations Theory and Applications (1974), John Wiley, New York
4. Øksendal B. Stochastic Differential Equations. An Introduction with Applications. 5th ed. (1998), Springer-Verlag, Berlin, Heildelberg
5. J.L. Strand, Stochastic ordinary differential equations, Ph.D. Thesis, Univ. of California, Berkeley, California, 1968
6. Grüne L., and Kloeden P.E. Pathwise approximation of random ordinary differential equations. BIT 41 4 (2001) 711-721
7. Soong T.T. Random Differential Equations in Science and Engineering (1973), Academic Press, New York
8. Cortés J.C., Jódar L., and Villafuerte L. Random linear-quadratic mathematical models: Computing explicit solutions and applications. Math. Comp. Simulation 79 7 (2009) 2076-2090
9. El-Tawil M.A. The approximate solutions of some stochastic differential equations using transformations. Appl. Math. Comput. 164 1 (2005) 167-178
10. Wong E., and Hajek B. Stochastic Processes in Engineering System (1985), Springer Verlag, New York
11. Loève M. Probability Theory. Graduate Texts in Mathematics (1977), Springer Verlag, New York