Existence, uniqueness and Ulam's stabilities for a class of implicit impulsive Langevin equation with Hilfer fractional derivatives
From MaRDI portal
Publication:2133236
DOI10.3934/math.2021288zbMath1484.34046OpenAlexW3133988811MaRDI QIDQ2133236
Publication date: 29 April 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2021288
Green's functions for ordinary differential equations (34B27) Fractional ordinary differential equations (34A08)
Related Items (5)
Switched coupled system of nonlinear impulsive Langevin equations with mixed derivatives ⋮ Bielecki-Ulam's types stability analysis of Hammerstein and mixed integro-dynamic systems of non-linear form with instantaneous impulses on time scales ⋮ Existence theory and Ulam's stabilities for switched coupled system of implicit impulsive fractional order Langevin equations ⋮ Existence, uniqueness, and stability analysis of fractional Langevin equations with anti‐periodic boundary conditions ⋮ Existence theory and Ulam's stabilities of fractional Langevin equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a new class of impulsive fractional differential equations
- Forced oscillation of nonlinear fractional differential equations with damping term
- Initial value problems of fractional order with fractional impulsive conditions
- Nonlinear impulsive problems for fractional differential equations and Ulam stability
- Existence of solutions for a coupled system of fractional differential equations at resonance
- A study of nonlinear Langevin equation involving two fractional orders in different intervals
- On the concept and existence of solution for impulsive fractional differential equations
- Ulam's type stability of impulsive ordinary differential equations
- Langevin equation with two fractional orders
- A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
- Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions
- Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
- On positive solutions of a nonlocal fractional boundary value problem
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Stability analysis of multi-point boundary value problem for sequential fractional differential equations with non-instantaneous impulses
- Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations
- Energy decay of solutions of nonlinear viscoelastic problem with the dynamic and acoustic boundary conditions
- An optimized Crank-Nicolson finite difference extrapolating model for the fractional-order parabolic-type sine-Gordon equation
- Hyers-Ulam stability of non-autonomous systems in terms of boundedness of Cauchy problems
- Ulam's type stability of higher order nonlinear delay differential equations via integral inequality of Grönwall-Bellman-Bihari's type
- Chaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cells
- Stability analysis and numerical solutions of fractional order HIV/AIDS model
- On Ulam's stability for a coupled systems of nonlinear implicit fractional differential equations
- Stability analysis of the first order non-linear impulsive time varying delay dynamic system on time scales
- Existence theory and stability analysis of fractional Langevin equation
- Stability of higher-order nonlinear impulsive differential equations
- A fixed point approach to the stability of a nonlinear volterra integrodifferential equation with delay
- Nonlinear impulsive Langevin equation with mixed derivatives
- Existence results for boundary value problems with non-linear fractional differential equations
- Impulsive fractional differential equations in Banach spaces
- On the Stability of the Linear Mapping in Banach Spaces
- On Ulam's type stability for a class of impulsive fractional differential equations with nonlinear integral boundary conditions
- Global dynamics of a fractional-order SIR epidemic model with memory
- Hyers–Ulam stability of nonlinear differential equations with fractional integrable impulses
- A fixed point theorem of the alternative, for contractions on a generalized complete metric space
This page was built for publication: Existence, uniqueness and Ulam's stabilities for a class of implicit impulsive Langevin equation with Hilfer fractional derivatives