A Parabolic Transform and Some Stochastic Ill-Posed Problems

A parabolic transform and averaging methods for integro-partial differential equations

“…In Section 2, we study the averaging of the linear operator of the integro-partial differential equation (1.1), (1.2) by using the parabolic transform where we generalize some known results due to Krol [14]. Compare also [1][2][3][4][5][6][7][8][9][10][11][12][13]16].…”

Initial Value Problem for Stochastic Hyprid Hadamard Fractional Differential Equation

“…is the Hadamard fractional integral. In recent years, stochastic differential equations have become more and more important and interesting to researchers due to their successful and potential applications in various fields ( [24], [25], [26], [27], [28], [29], [31], [32]), and the basic theories and results of stochastic differential equations can be found in [24].…”

Existence and Uniqueness of Abstract Stochastic Fractional-Order Differential Equation

“…In recent years, stochastic differential equations have become more and more important and interesting to researchers due to their successful and potential applications in various fields ([9], [10], [11], [12], [13], [14], [27] and [28]), and the basic theories and results of stochastic differential equations can be found in [27]. Our main result is studying the existence and uniqueness of solution to equation…”