On a mixed fractional Burgers type equation with polynomial nonlinearity and perturbed by fractional Brownian sheet
Sign Up to like & getrecommendations! Published in 2020 at "Stochastic Analysis and Applications"
DOI: 10.1080/07362994.2020.1820348
Abstract: Abstract In this paper, we discuss a class of stochastic nonlinear partial differential equation of Burgers type driven by pseudo differential operator for and fractional Brownian sheet. The existence and uniqueness of an Lp-valued (local)… read more here.
Keywords: fractional brownian; mixed fractional; brownian sheet; equation ... See more keywords
Stochastic time-optimal control for time-fractional Ginzburg–Landau equation with mixed fractional Brownian motion
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DOI: 10.1080/07362994.2021.1872386
Abstract: A theoretical approach for solving time-fractional stochastic Ginzburg–Landau equation with mixed fractional Brownian motion in Hilbert space is elaborated. Initially, the stochastic partial differ... read more here.
Keywords: ginzburg landau; time fractional; equation mixed; time ... See more keywords
Mixed Fractional Differential Equations and Generalized Operator-Valued Mittag-Leffler Functions
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DOI: 10.1134/s0001434619110087
Abstract: We introduce the most general mixed fractional derivatives and integrals from three points of views: probability, the theory of operator semigroups, and the theory of generalized functions. The solutions to the resulting mixed fractional PDEs… read more here.
Keywords: mixed fractional; mittag leffler; fractional differential; leffler functions ... See more keywords
Lyapunov Inequalities for Two Dimensional Fractional Boundary-Value Problems with Mixed Fractional Derivatives
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DOI: 10.3390/axioms12030301
Abstract: We consider two types of partial fractional differential equations in two dimensions with mixed fractional derivatives. Appropriate Lyapunov-type inequalities are proved, and applications to the certain eigenvalue problems are presented. Moreover, some connections with the… read more here.
Keywords: inequalities two; two dimensional; dimensional fractional; lyapunov inequalities ... See more keywords