Sobolev-type nonlocal conformable stochastic differential equations

DOI10.1007/s41980-021-00615-6zbMath1498.60192OpenAlexW3186281004WikidataQ115370934 ScholiaQ115370934MaRDI QIDQ2169275

Hamdy M. Ahmed

Publication date: 2 September 2022

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-021-00615-6

zbMATH Keywords

controllabilityapproximate controllabilitySobolev-type conformable stochastic differential equation

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Controllability (93B05) Nonlinear differential equations in abstract spaces (34G20)

Cites Work

• Unnamed Item
• A fractional differential equation model for the COVID-19 transmission by using the Caputo-Fabrizio derivative
• Ulam-Hyers-Rassias stability for nonlinear \(\Psi\)-Hilfer stochastic fractional differential equation with uncertainty
• Results on approximate controllability for non-densely defined Hilfer fractional differential system with infinite delay
• Existence, uniqueness and continuous dependence of solutions to conformable stochastic differential equations
• Approximate controllability of noninstantaneous impulsive Hilfer fractional integrodifferential equations with fractional Brownian motion
• A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems
• Global attractiveness and exponential stability for impulsive fractional neutral stochastic evolution equations driven by fBm
• Nonlocal conformable-fractional differential equations with a measure of noncompactness in Banach spaces
• Strong convergence and stability of the split-step theta method for highly nonlinear neutral stochastic delay integro differential equation
• Real world applications of fractional models by Atangana-Baleanu fractional derivative
• The averaging principle of Hilfer fractional stochastic delay differential equations with Poisson jumps
• An averaging result for impulsive fractional neutral stochastic differential equations
• Existence and uniqueness of mild solutions to impulsive nonlocal Cauchy problems
• A new definition of fractional derivative
• Existence and exponential stability for neutral stochastic integro-differential equations with impulses driven by a Rosenblatt process
• Nonlocal conformable fractional Cauchy problem with sectorial operator
• Noninstantaneous impulsive and nonlocal Hilfer fractional stochastic integrodifferential equations with fractional Brownian motion and Poisson jumps
• Yosida Approximations of Stochastic Differential Equations in Infinite Dimensions and Applications
• Modeling some real phenomena by fractional differential equations
• Fractional modeling of blood ethanol concentration system with real data application
• Optimal control problems with Atangana‐Baleanu fractional derivative
• Non-instantaneous impulsive Hilfer fractional stochastic differential equations driven by fractional Brownian motion
• On an impulsive hybrid system of conformable fractional differential equations with boundary conditions
• Averaging principle and stability of hybrid stochastic fractional differential equations driven by Lévy noise
• Stability result of higher-order fractional neutral stochastic differential system with infinite delay driven by Poisson jumps and Rosenblatt process
• Modified Kudryashov method via new exact solutions for some conformable fractional differential equations arising in mathematical biology