International Journal of Scientific and Research Publications

IJSRP, Volume 5, Issue 9, September 2015 Edition [ISSN 2250-3153]


A Study on Properties of Regularity for Fractional Difference Equations in Stochastic Processes
      M. Reni Sagayaraj, P. Manoharan
Abstract: In this paper, we present some results for vector-valued fractional difference equations. We are successful to completely characterize the maximal regularity of solutions for the problem in Lebesgue vector-valued spaces defined on the set Z+. Our approach use as main ingredients Blunck’s operator valued multiplier theorem, and the introduction of a special sequence of bounded operators, that we called α-resolvent families, which will play a central role in the representation of the solution of the problem by means of a kind of discrete variation of parameters formula.

Reference this Research Paper (copy & paste below code):

M. Reni Sagayaraj, P. Manoharan (2018); A Study on Properties of Regularity for Fractional Difference Equations in Stochastic Processes; Int J Sci Res Publ 5(9) (ISSN: 2250-3153). http://www.ijsrp.org/research-paper-0915.php?rp=P454530
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