You are here

AN INTEGRO-DIFFERENTIAL EQUATION OF VOLTERRA TYPE WITH SUMUDU TRANSFORM

Journal Name:

Publication Year:

Author NameUniversity of Author
Abstract (2. Language): 
In this paper a closed form solution of a fractional integro-differential equation of Volterra type involving Mittag-Leffler function has been obtained using straight forward technique of Sumudu transform. Some particular cases have also been considered.
541-547

REFERENCES

References: 

[1] J. H., Barrett, Differential equations of non integer order, Canad. J. Math.
6, 1954, 429-541.
[2] F. B. M., Belgacem, A. A., Karaballi and S. L., Kalla, Analytical
investigations of the Sumudu transform and applications to integral
equations, Hindawi Pub. Corp., Mathematical Prob. in Engg., 2003, 103-
118.
[3] F. B. M., Belgacem and A. A., Karaballi, Sumudu transform fundamental
properties investigations and applications, Hindawi Pub. Corp., Int. J. of
Appl. Maths. and Stochastic Anal., 2006, 1-23.
[4] V. G., Gupta and B., Sharma, A solution of fractional Volterra type
integro–differential equation associated with Lorenzo and Hartley
function, Global J. Sci. Frontier Research, Vol. 10, 2010, 19-26.
[5] A. A., Kilbas, M., Saigo and R. K., Saxena, Solution of Volterra integro–
differential equations with generalized Mittag-Leffler functions in the
kernels, J. Integral Equ. and Appl., Vol. 14, No. 4, 2002, 377-396.
[6] D., Loonker and P. K., Banerji, On the solution of distributional Abel
integral equation by distributional Sumudu transform, Hindawi Pub.
Corp., Int. J. of Maths. and Mathematical Sciences, 2011, 1-8.
[7] T. R., Prabhakar, A singular integral equation with a generalized Mittag-
Leffler function in the kernel, Yokohama, Math., J., 19, 1971, 7-15.
[8] B., Ross and B., Sachdeva, The solution of certain integral equations by
means of operators of arbitrary order, Amer. Math. Monthly 97, 1990,
498-503.
[9] R. K., Saxena, Alternative derivation of the solution of certain integrodifferential
equations of Volterra type, Ganita Sandesh, Vol. 17(1), 2003,
51-56.
[10] R. K. Saxena, and M., Saigo, Certain properties of fractional operators
associated with generalized Mittag-Leffler function, Int. J. for Theory and
Appl., FCAA, 8, 2005, 141-154.
[11] G. K., Watugala, Sumudu transform: a new integral transform to solve
differential equations in control engineering problems, Int. J. Math. Educ.
Sci. Technol. 24, 1, 1993, 35-43.
[12] S., Weerakoon, Application of Sumudu transform to partial differential
equations, Int. J. of Mathematical Edu. in Sci. and Technology 25, No. 2,
1994, 277-283.

Thank you for copying data from http://www.arastirmax.com