A new type of the Gronwall-Bellman inequality and its application to fractional stochastic differential equations
This paper presents a new type of Gronwall-Bellman inequality, which arises from a class of integral equations with a mixture of nonsingular and singular integrals. The new idea is to use a binomial function to combine the known Gronwall-Bellman inequalities for integral equations having nonsingular...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2017-01-01
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| Series: | Cogent Mathematics |
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| Online Access: | http://dx.doi.org/10.1080/23311835.2017.1279781 |