Title of article :
Solvability of fuzzy fractional stochastic Pantograph differential system
Author/Authors :
Priyadharsini, J. Department of Mathematic - Faculty of Mathematics - The Gandhigram Rural Institute - Deemed to be University, Tamil Nadu, India , Balasubramaniam, P. J. Department of Mathematic - Faculty of Mathematics - The Gandhigram Rural Institute - Deemed to be University, Tamil Nadu, India
Abstract :
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.
Keywords :
Banach contraction , fuzzy fractional , granular differentiability , fuzzy stochastic
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
