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Solvability of Atangana-Baleanu-Riemann (ABR) fractional stochastic differential equations driven by Rosenblatt process via measure of noncompactness - MaRDI portal

Solvability of Atangana-Baleanu-Riemann (ABR) fractional stochastic differential equations driven by Rosenblatt process via measure of noncompactness (Q2098753)

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scientific article; zbMATH DE number 7620248

Language	Label	Description	Also known as
English	Solvability of Atangana-Baleanu-Riemann (ABR) fractional stochastic differential equations driven by Rosenblatt process via measure of noncompactness	scientific article; zbMATH DE number 7620248

Statements

scholarly article

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Solvability of Atangana-Baleanu-Riemann (ABR) fractional stochastic differential equations driven by Rosenblatt process via measure of noncompactness (English)

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Chaos, Solitons and Fractals

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publication date

18 November 2022

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zbMATH Keywords

ABR derivative

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existence of solution

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fixed point theory

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fractional calculus

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measure of noncompactness

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semigroup

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Rosenblatt process

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MaRDI profile type

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full work available at URL

https://doi.org/10.1016/j.chaos.2022.111960

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Solution for a fractional diffusion-wave equation defined in a bounded domain

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Controllability of semilinear impulsive Atangana-Baleanu fractional differential equations with delay

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Fractional Differential Equations Involving Caputo Fractional Derivative with Mittag-Leffler Non-Singular Kernel: Comparison Principles and Applications

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Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order

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Optimality conditions for fractional differential inclusions with nonsingular Mittag-Leffler kernel

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Fractional evolution equations in Banach spaces

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Controllability of semilinear noninstantaneous impulsive ABC neutral fractional differential equations

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On some new properties of fractional derivatives with Mittag-Leffler kernel

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The extended fractional Caputo-Fabrizio derivative of order \(0\leq \sigma <1\) on \(C_{\mathbb{R}}[0,1]\) and the existence of solutions for two higher-order series-type differential equations

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Real world applications of fractional models by Atangana-Baleanu fractional derivative

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Existence and approximate controllability of Hilfer fractional evolution equations with almost sectorial operators

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On a mild solution of a semilinear functional-differential evolution nonlocal problem

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Non-autonomous stochastic evolution equations with nonlinear noise and nonlocal conditions governed by noncompact evolution families

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Cauchy problem for stochastic non-autonomous evolution equations governed by noncompact evolution families

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Nonlocal problem for fractional stochastic evolution equations with solution operators

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Why fractional derivatives with nonsingular kernels should not be used

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Optimal control of diffusion equation with fractional time derivative with nonlocal and nonsingular Mittag-Leffler kernel

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Stochastic Differential Equations Driven by Fractional Brownian Motion and Standard Brownian Motion

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Existence results for abstract fractional differential equations with nonlocal conditions via resolvent operators

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Applications of fractional calculus in physics

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Existence of mild solution of Atangana-Baleanu fractional differential equations with non-instantaneous impulses and with non-local conditions

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Existence of solutions for fractional neutral functional differential equations driven by fBm with infinite delay

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On Riemann-Liouville and Caputo derivatives

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Fractional relaxation-oscillation and fractional diffusion-wave phenomena.

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<i>p<sup>th</sup></i> Moment stability of fractional stochastic differential inclusions via resolvent operators driven by the Rosenblatt process and poisson jumps with impulses

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Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces

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Stochastic differential equations. An introduction with applications.

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Semigroups of linear operators and applications to partial differential equations

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Stochastic Equations in Infinite Dimensions

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Fractional Calculus

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Retarded stochastic differential equations with infinite delay driven by Rosenblatt process

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On impulsive Hilfer fractional stochastic differential system driven by Rosenblatt process

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Neutral stochastic partial differential equations with delay driven by Rosenblatt process in a Hilbert space

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Controllability and stability of fractional stochastic functional systems driven by Rosenblatt process

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The existence of mild solutions for impulsive fractional partial differential equations

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Weak convergence to fractional brownian motion and to the rosenblatt process

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Analysis of the Rosenblatt process

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Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces

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Nonlocal Cauchy problem for fractional evolution equations

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.CHAOS.2022.111960

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Sitelinks

Mathematics(1 entry)

mardi Publication:2098753

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