Ulam-Hyers-Rassias stability for a class of fractional integro-differential equations
From MaRDI portal
Publication:1990805
DOI10.1007/s00025-018-0872-zzbMath1401.45011arXiv1804.02600OpenAlexW2963376087MaRDI QIDQ1990805
Edmundo Capelas de Oliveira, J. Vanterler da Costa Sousa
Publication date: 25 October 2018
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.02600
Integro-partial differential equations (45K05) Fractional derivatives and integrals (26A33) Stability theory for integral equations (45M10)
Related Items (63)
Ulam-Hyers-Rassias stability of nonlinear differential equations with Riemann-Liouville fractional derivative ⋮ Nonlocal boundary value problems for \(\psi\)-Hilfer fractional-order Langevin equations ⋮ Some properties of implicit impulsive coupled system via \(\varphi \)-Hilfer fractional operator ⋮ Ulam-Hyers-Mittag-Leffler stability for a \(\psi \)-Hilfer problem with fractional order and infinite delay ⋮ Ulam-Hyers stabilities of fractional functional differential equations ⋮ Stability results of positive solutions for a system of \(\psi \) -Hilfer fractional differential equations ⋮ On Ulam-Hyers-Rassias stability of a generalized Caputo type multi-order boundary value problem with four-point mixed integro-derivative conditions ⋮ Stability analysis for fractional order advection-reaction diffusion system ⋮ Existence results for the σ-Hilfer hybrid fractional boundary value problem involving a weighted φ-Laplacian operator ⋮ E α -Ulam-Hyers Stability Result for ψ -Hilfer Nonlocal Fractional Differential Equation ⋮ Existence, Uniqueness and Stability Results of Fractional Volterra-Fredholm Integro Differential Equations of ψ -Hilfer Type ⋮ Analysis of \(( \alpha, \beta )\)-order coupled implicit Caputo fractional differential equations using topological degree method ⋮ Unnamed Item ⋮ Existence results and Ulam-Hyers stability for a fully coupled system of nonlinear sequential Hilfer fractional differential equations and integro-multistrip-multipoint boundary conditions ⋮ Existence results for ψ–Caputo fractional neutral functional integro-differential equations with finite delay ⋮ New approach for the chaotic dynamical systems involving Caputo-Prabhakar fractional derivative using Adams-Bashforth scheme ⋮ Controllability of coupled fractional integrodifferential equations ⋮ A Gronwall inequality and its applications to the Cauchy-type problem under \(\psi\)-Hilfer proportional fractional operators ⋮ Fractional order pseudoparabolic partial differential equation: Ulam-Hyers stability ⋮ A fixed point method for stability of nonlinear volterra integral equations in the sense of Ulam ⋮ Existence and Ulam–Hyers stability results for nonlinear fractional Langevin equation with modified argument ⋮ Ulam type stability for Caputo–Hadamard fractional functional stochastic differential equations with delay ⋮ On the stability of a hyperbolic fractional partial differential equation ⋮ Existence and stability results for nonlinear fractional integrodifferential coupled systems ⋮ Differential equations of arbitrary order under Caputo-Fabrizio derivative: some existence results and study of stability ⋮ Stability analysis for fractional order implicit ψ‐Hilfer differential equations ⋮ Attractivity for differential equations of fractional order and \(\psi\)-Hilfer type ⋮ Study of a boundary value problem for fractional order \(\psi\)-Hilfer fractional derivative ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Ulam-Hyers-Mittag-Leffler stability for \(\psi\)-Hilfer fractional-order delay differential equations ⋮ Existence of mild solutions to Hilfer fractional evolution equations in Banach space ⋮ A nonlinear fractional problem with mixed Volterra-Fredholm integro-differential equation: existence, uniqueness, H-U-R stability, and regularity of solutions ⋮ Existence and stability of solution for nonlinear differential equations with \(\psi \)-Hilfer fractional derivative ⋮ Some results on fractional $m$-point boundary value problems ⋮ The \(\psi\)-Hilfer fractional calculus of variable order and its applications ⋮ The existence and Hyers-Ulam stability of solution for almost periodical fractional stochastic differential equation with fBm ⋮ Fractional Integro-Differential Equations Involving $\psi$-Hilfer Fractional Derivative ⋮ Existence and stability of solution for a nonlinear fractional differential equation ⋮ Unnamed Item ⋮ Existence, stability and controllability results of coupled fractional dynamical system on time scales ⋮ Ulam's type stability of higher order nonlinear delay differential equations via integral inequality of Grönwall-Bellman-Bihari's type ⋮ Existence and Ulam-Hyers-Mittag-Leffler stability results of \(\psi\)-Hilfer nonlocal Cauchy problem ⋮ Existence, uniqueness, and Mittag-Leffler-Ulam stability results for Cauchy problem involving \(\psi \)-Caputo derivative in Banach and Fréchet spaces ⋮ On the fractional functional differential equation with abstract Volterra operator ⋮ A new approach to the Hyers-Ulam-Rassias stability of differential equations ⋮ On the generalized Hyers-Ulam stability of a functional equation and its consequences ⋮ Reachability of fractional dynamical systems using ψ-Hilfer pseudo-fractional derivative ⋮ Existence and Ulam-Hyers stability results of a coupled system of \(\psi\)-Hilfer sequential fractional differential equations ⋮ Mittag-Leffler-Hyers-Ulam stability of delay fractional differential equation via fractional Fourier transform ⋮ Ulam type stability for conformable fractional differential equations ⋮ On the novel finite-time stability results for uncertain fractional delay differential equations involving noninstantaneous impulses ⋮ On the stability problem of differential equations in the sense of Ulam ⋮ A Gronwall inequality and the Cauchy-type problem by means of ψ-Hilfer operator ⋮ On the nonlinear \(varPsi\)-Hilfer fractional differential equations ⋮ Existence, uniqueness, approximation of solutions and Ealpha-Ulam stability results for a class of nonlinear fractional differential equations involving psi-Caputo derivative with initial conditions ⋮ Ulam-Hyers stability and Ulam-Hyers-Rassias stability for fuzzy integrodifferential equation ⋮ Initial time difference quasilinearization method for fractional differential equations involving generalized Hilfer fractional derivative ⋮ A GENERAL STUDY ON RANDOM INTEGRO-DIFFERENTIAL EQUATIONS OF ARBITRARY ORDER ⋮ ON THE NONLINEAR IMPULSIVE Ψ–HILFER FRACTIONAL DIFFERENTIAL EQUATIONS ⋮ Ulam stability for nonlinear-Langevin fractional differential equations involving two fractional orders in the ψ-Caputo sense ⋮ Null controllability of nonlocal Sobolev-Type Hilfer fractional stochastic differential system driven by fractional Brownian motion and Poisson jumps ⋮ On the nonlinear \(\Psi\)-Hilfer hybrid fractional differential equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A uniform method to Ulam-Hyers stability for some linear fractional equations
- Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces
- Existence of mild solution for evolution equation with Hilfer fractional derivative
- A survey on impulsive fractional differential equations
- Existence, uniqueness and stability of random impulsive fractional differential equations
- Existence and uniqueness for a problem involving hilfer fractional derivative
- Ulam's type stability of impulsive ordinary differential equations
- Existence and boundary behavior of positive solutions for a semilinear fractional differential equation
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- On the Ulam-Hyers-Rassias stability for nonlinear fractional differential equations using the \(\psi \)-Hilfer operator
- Mittag-Leffler functions and the truncated \(\mathcal {V}\)-fractional derivative
- Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type
- Some existence and stability results for Hilfer-fractional implicit differential equations with nonlocal conditions
- Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation
- On the new concept of solutions and existence results for impulsive fractional evolution equations
- Two new fractional derivatives of variable order with non-singular kernel and fractional differential equation
- On the \(\psi\)-Hilfer fractional derivative
- Existence of mild solutions for a class of Hilfer fractional evolution equations with nonlocal conditions
- Stability analysis for a general class of non-instantaneous impulsive differential equations
- Hyers-Ulam stability of delay differential equations of first order
- Basic Theory of Fractional Differential Equations
- Weighted space method for the stability of some nonlinear equations
- Ulam stability and data dependence for fractional differential equations with Caputo derivative
- Implicit Fractional Differential and Integral Equations
- Existence and Ulam stability for nonlinear implicit fractional differential equations with Hadamard derivative
- Different types of Hyers-Ulam-Rassias stabilities for a class of integro-differential equations
- A fixed point theorem of the alternative, for contractions on a generalized complete metric space
This page was built for publication: Ulam-Hyers-Rassias stability for a class of fractional integro-differential equations