(2010-6217) Solvability of fuzzy fractional stochastic Pantograph differential system

Document Type : Research Paper


Department of Mathematics, Faculty of Mathematics, The Gandhigram Rural Institute - Deemed to be University, Gandhigram - 624 302, Dindigul, Tamil Nadu, India.



In this paper, a new type of equation namely fuzzy fractional stochastic Pantograph delay differential system (FSPDDS) is proposed. In our previous work, a first extension of fuzzy stochastic differential system into fuzzy fractional stochastic
differential system by using Granular differentiability has been established. Here we study the existence and uniqueness results for the fuzzy FSPDDS which are obtained by using generalized Granular differentiability and contraction principle
with weaker conditions. This kind of equation is used in many real world problems. Finally, we provide two numerical examples for the effectiveness of the theoretical results.