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Solvability and stability of a class of fractional Langevin differential equations with the Mittag–Leffler function
In the present paper, the solvability and stability of a class of fractional Langevin equations with integral and anti-periodic boundary conditions...
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Uniqueness in Nuclear Norm Minimization: Flatness of the Nuclear Norm Sphere and Simultaneous Polarization
In this paper, we establish necessary and sufficient conditions for the existence of line segments (or flats ) in the sphere of the nuclear norm via...
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Numerical simulation, existence and uniqueness for solving nonlinear mixed partial integro-differential equations with discontinuous kernels
This study describes a new effective technique for solving mixed partial integro-differential equations that are nonlinear with discontinuous kernels...
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Existence and stability of a q-Caputo fractional jerk differential equation having anti-periodic boundary conditions
In this work, we analyze a q -fractional jerk problem having anti-periodic boundary conditions. The focus is on investigating whether a unique...
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Stability of Equilibria
In Sect. 2.7 we defined the stability of an equilibrium of an autonomous ordinary differential equation...
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New solvability and stability results for variable-order fractional initial value problem
In this paper, we employ a new methodology to investigate the existence, uniqueness, and stability for initial value problem in the frame of...
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Stability of Entropy Solution of Conservation Law Systems on Flow Function and Relaxation Function
In this paper, using the fractional step Lax-Friedrichs difference scheme, we establish the stability of the entropy solution on flow function and...
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Explicit Solution of a Dirichlet Problem in Nonconvex Angle
In the present work, we give an explicit solution of the Dirichlet boundary problem for the Helmholtz equation in a nonconvex angle with periodic...
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Ulam’s Type Stability of Delayed Discrete System with Second-Order Differences
In this paper, the Ulam’s type stability of delayed discrete systems with a second-order difference is investigated. Firstly, we introduce the...
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Existence and Stability Results for Nonlinear Implicit Random Fractional Integro-Differential Equations
In this typescript, we present nonlinear implicit random fractional integro-differential equation in mean square sense and its corresponding coupled...
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Uniqueness and Hyers-Ulam Stability of Random Differential Variational Inequalities with Nonlocal Boundary Conditions
In this paper, we consider a new class of random differential variational inequalities (RDVIs) with nonlocal boundary conditions in Hilbert spaces....
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Uniqueness for Riccati equations with application to the optimal boundary control of composite systems of evolutionary partial differential equations
In this article we address the issue of uniqueness for differential and algebraic operator Riccati equations, under a distinctive set of assumptions...
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Existence and stability results for fractional boundary value problems in Banach spaces
In this work, the existence and uniqueness of solutions for nonlinear fractional jerk type problem with nonlocal boundary conditions are investigated...
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Asymptotic Solution of the Boundary Control Problem for a Burgers-Type Equation with Modular Advection and Linear Gain
AbstractA singularly perturbed periodic problem for a parabolic reaction–diffusion–advection Burgers-type equation with modular advection and linear...
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Stability Properties of Mild Solutions of SPDEs Related to Pseudo Differential Equations
This is a review article which presents part of the contribution of Sergio Albeverio to the study of existence and uniqueness of solutions of SPDEs...
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On the Bielecki–Hyers–Ulam Stability of Non–linear Impulsive Fractional Hammerstein and Mixed Integro–dynamic Systems on Time Scales
This article is about the examination of existence as well as uniqueness of solutions, Bielecki–Hyers–Ulam stability and Bielecki–Hyers–Ulam–Rassias...
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Dynamics and Stability Analysis for Stochastic 3D Lagrangian-Averaged Navier–Stokes Equations with Infinite Delay on Unbounded Domains
This paper is devoted to investigating mean dynamics and stability analysis for stochastic 3D Lagrangian-averaged Navier–Stokes (LANS) equations...
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Stability of the Phase Separation State for Compressible Navier-Stokes/Allen-Cahn System
This paper is concerned with the large time behavior of the Cauchy problem for Navier-Stokes/Allen-Cahn system describing the interface motion of...
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Stability of Delta Shock Solution for the Simplified Magnetohydrodynamics Equations Under the Linear Flux-Function Perturbation
The stability of delta shock solution for the simplified magnetohydrodynamics equations is investigated carefully under the linear flux-function...
