On Hyers-Ulam stability of fractional differential equations with Prabhakar derivatives
From MaRDI portal
Publication:1743332
DOI10.1515/anly-2017-0029zbMath1384.34012OpenAlexW2791122402MaRDI QIDQ1743332
Publication date: 13 April 2018
Published in: Analysis (München) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/anly-2017-0029
Hyers-Ulam stabilityRiemann-Liouville fractional derivativegeneralized Mittag-Leffler functionPrabhakar fractional derivative
Stability theory of functional-differential equations (34K20) Laplace transform (44A10) Fractional ordinary differential equations (34A08)
Related Items (7)
Analytical solutions for the equal width equations containing generalized fractional derivative using the efficient combined method ⋮ A new approach for solving multi-variable orders differential equations with Prabhakar function ⋮ Asymptotic stability of distributed-order nonlinear time-varying systems with the Prabhakar fractional derivatives ⋮ New approach for the chaotic dynamical systems involving Caputo-Prabhakar fractional derivative using Adams-Bashforth scheme ⋮ Existence and Hyers-Ulam stability results for a class of fractional order delay differential equations with non-instantaneous impulses ⋮ Existence and Ulam-Hyers stability of coupled sequential fractional differential equations with integral boundary conditions ⋮ Lyapunov-type inequality for nonlinear systems with Riemann-Liouville fractional derivatives
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hilfer-Prabhakar derivatives and some applications
- On the Volterra \(\mu\)-functions and the M-Wright functions as kernels and eigenfunctions of Volterra type integral operators
- Nonlinear impulsive problems for fractional differential equations and Ulam stability
- Stability of the second order partial differential equations
- Laplace transform and Hyers-Ulam stability of linear differential equations
- Mittag-Leffler-Ulam stabilities of fractional evolution equations
- New concepts and results in stability of fractional differential equations
- Ulam's type stability of impulsive ordinary differential equations
- Applications of fixed point theorems to the Hyers-Ulam stability of functional equations -- a survey
- A general class of impulsive evolution equations
- Hyers-Ulam stability of a first order partial differential equation
- The Fréchet functional equation with application to the stability of certain operators
- On approximate solutions of the linear functional equation of higher order
- On the stability of multi-Jensen mappings in \(\beta\)-normed spaces
- Finite fractional Sturm-Liouville transforms for generalized fractional derivatives
- Hyers-Ulam stability of a class of fractional linear differential equations
- Some inverse fractional Legendre transforms of gamma function form
- Solution of the Ulam stability problem for Euler-Lagrange quadratic mappings
- A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
- A characterization of Hyers-Ulam stability of first order linear differential operators.
- On fractional calculus of \(\mathcal A_{2n+1}(x)\) function
- Hyers-Ulam stability of linear differential equations of first order.
- Grünwald-Letnikov operators for fractional relaxation in Havriliak-Negami models
- The Prabhakar or three parameter Mittag-Leffler function: theory and application
- Hyers-Ulam stability of linear differential equations of first order. II
- Stability problem of Ulam for Euler-Lagrange quadratic mappings
- Hyers-Ulam stability of linear differential equations of first order. III
- Confidence Intervals for Quantiles of a Two-parameter Exponential Distribution under Progressive Type-II Censoring
- Lyapunov inequality for fractional differential equations with Prabhakar derivative
- On some operators involving Hadamard derivatives
- New identities for the Wright and the Mittag-Leffler functions using the Laplace transform
- SOLUTION TO SYSTEM OF PARTIAL FRACTIONAL DIFFERENTIAL EQUATIONS USING THE $\mathcal{L}_2$-TRANSFORM
- ON THE HYERS-ULAM STABILITY OF THE BANACH SPACE-VALUED DIFFERENTIAL EQUATION y'=λy
- SOLVING PARTIAL FRACTIONAL DIFFERENTIAL EQUATIONS USING THE $\mathcal{L}_A $-TRANSFORM
- On the Stability of the Linear Mapping in Banach Spaces
- Hyers–Ulam stability of linear differential operator with constant coefficients
- ESSENTIAL NORMS AND STABILITY CONSTANTS OF WEIGHTED COMPOSITION OPERATORS ON C(X)
- Fractional Sturm–Liouville problems for Weber fractional derivatives
- Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions
- HYERS-ULAM STABILITY OF A CLOSED OPERATOR IN A HILBERT SPACE
- On finite fractional Sturm–Liouville transforms
- Stability of functional equations in several variables
This page was built for publication: On Hyers-Ulam stability of fractional differential equations with Prabhakar derivatives
