Open AccessSome generalized Gronwall-Bellman-Bihari type integral inequalities with application to fractional stochastic differential equation
Author(s) -
Sabir Hussain,
Halima Sadia,
Sidra Aslam
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1903815h
Subject(s) - mathematics , gronwall's inequality , type (biology) , stochastic differential equation , fractional calculus , inequality , differential (mechanical device) , mathematical analysis , ecology , engineering , biology , aerospace engineering
In this paper some new Gronwall-Bellman-Bihari type integral inequalities with singular as well as non-singular kernels have been discussed, generalizing some already existing results. As an application of the derived results, the behaviour of solution of the fractional stochastic differential equation has been discussed.