Ulam–Hyers stability of pantograph fractional stochastic differential equations
Copyright policy )Ulam–Hyers stability of pantograph fractional stochastic differential equations
In this paper, we investigate the existence and uniqueness theorem (EUT) of Pantograph fractional stochastic differential equations (PFSDE) using the Banach fixed point theorem (BFPT). We show the Ulam–Hyers stability (UHS) of PFSDE by the generalized Gronwall inequalities (GGI). We illustrate our results by two examples.
- Umm al-Qura University Saudi Arabia
- University of Sfax Tunisia
- Al Jouf University Saudi Arabia
Stability theory of functional-differential equations, Fractional derivatives and integrals, Ulam stability, Stochastic functional-differential equations, Fractional ordinary differential equations, Caputo derivative, Stochastic ordinary differential equations (aspects of stochastic analysis)
Stability theory of functional-differential equations, Fractional derivatives and integrals, Ulam stability, Stochastic functional-differential equations, Fractional ordinary differential equations, Caputo derivative, Stochastic ordinary differential equations (aspects of stochastic analysis)
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