Existence, uniqueness and continuous dependence of solution to random delay differential equation of fractional order

	Existence, uniqueness and continuous dependence of solution to random delay differential equation of fractional order
International Journal of Nonlinear Analysis and Applications
مقاله 40، دوره 13، شماره 2، مهر 2022، صفحه 447-457 اصل مقاله (393.33 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.25504.3036
نویسندگان
Vu Ho^* ؛ Dong Le Si
Faculty of Mathematical Economics, Ho Chi Minh University of Banking, Vietnam
چکیده
In this paper, we aim to prove the existence, uniqueness of the solution to the random delay differential equation of fractional order involving the successive approximation method. Moreover, using the Gronwall inequality, we study the continuous dependence of solution in the mean square sense of the problem. Finally, the fractional $\epsilon$-approximate solution in the mean square sense is also considered.
کلیدواژه‌ها
Mean square calculus؛ Random differential equation؛ Fractional Stochastic Calculus؛ Random fractional differential equation
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