Analysis of \(( \alpha, \beta )\)-order coupled implicit Caputo fractional differential equations using topological degree method
From MaRDI portal
Publication:2669978
DOI10.1515/ijnsns-2020-0082OpenAlexW3098867459WikidataQ115236203 ScholiaQ115236203MaRDI QIDQ2669978
Publication date: 9 March 2022
Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ijnsns-2020-0082
Mittag-Leffler functionHyers-Ulam stabilityLaplace transform methodtopological degree methodCaputo fractional differential equation
Inequalities involving derivatives and differential and integral operators (26D10) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)
Related Items
Existence and Hyers-Ulam stability of solutions to a nonlinear implicit coupled system of fractional order, On the qualitative evaluation of the variable-order coupled boundary value problems with a fractional delay, Exponential and Hyers-Ulam stability of impulsive linear system of first order, An analysis on the positive solutions for a fractional configuration of the Caputo multiterm semilinear differential equation, Mittag-Leffler-Hyers-Ulam stability of delay fractional differential equation via fractional Fourier transform
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Laplace transform and Hyers-Ulam stability of linear differential equations
- Hyers-Ulam stability of fractional linear differential equations involving Caputo fractional derivatives.
- Mittag-Leffler functions and their applications
- Laplace transform and fractional differential equations
- Global existence theory and chaos control of fractional differential equations
- Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
- Fractional differential equations in electrochemistry
- On the Ulam-Hyers-Rassias stability for nonlinear fractional differential equations using the \(\psi \)-Hilfer operator
- Connections between Hyers-Ulam stability and uniform exponential stability of discrete evolution families of bounded linear operators over Banach spaces
- Stability analysis of multi-point boundary value problem for sequential fractional differential equations with non-instantaneous impulses
- Laplace transform for solving some families of fractional differential equations and its applications
- Application of topological degree method for solutions of coupled systems of multipoints boundary value problems of fractional order hybrid differential equations
- Ulam-type stability for a class of implicit fractional differential equations with non-instantaneous integral impulses and boundary condition
- Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation
- Ulam-Hyers-Rassias stability for a class of fractional integro-differential equations
- Ulam's type stability of higher order nonlinear delay differential equations via integral inequality of Grönwall-Bellman-Bihari's type
- Existence, uniqueness and stability of implicit switched coupled fractional differential equations of \(\psi \)-Hilfer type
- On the existence of positive solutions for generalized fractional boundary value problems
- Solutions of two fractional \(q\)-integro-differential equations under sum and integral boundary value conditions on a time scale
- Stability analysis of a nonlinear coupled implicit switched singular fractional differential system with \(p\)-Laplacian
- Analysis of coupled system of implicit fractional differential equations involving Katugampola-Caputo fractional derivative
- On nonlocal integral and derivative boundary value problem of nonlinear Hadamard Langevin equation with three different fractional orders
- On the \(\psi\)-Hilfer fractional derivative
- Analysis of nonlinear coupled systems of impulsive fractional differential equations with Hadamard derivatives
- Numerical modeling of fractional-order biological systems
- Hyers-Ulam stability of impulsive integral equations
- Stability analysis of nonlinear implicit fractional Langevin equation with noninstantaneous impulses
- Stability Analysis of nth Order Nonlinear Impulsive Differential Equations in Quasi–Banach Space
- Advances in Fractional Calculus
