Approximate solutions and Hyers-Ulam stability for a system of the coupled fractional thermostat control model via the generalized differential transform
DOI10.1186/s13662-021-03563-xzbMath1494.34028OpenAlexW3202793706WikidataQ115241177 ScholiaQ115241177MaRDI QIDQ2167190
Mohamed Abbas, Sina Etemad, Shahram Rezapour, Brahim Tellab, Jehad O. Alzabut
Publication date: 25 August 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-021-03563-x
Theoretical approximation of solutions to ordinary differential equations (34A45) Fractional derivatives and integrals (26A33) Applications of operator theory to differential and integral equations (47N20) Theoretical approximation of solutions to functional-differential equations (34K07) Fractional ordinary differential equations (34A08) Functional-differential equations with fractional derivatives (34K37)
Related Items (6)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Ulam-Hyers stability of fractional Langevin equations
- Positive solutions of a fractional thermostat model
- Investigation of positive solution to a coupled system of impulsive boundary value problems for nonlinear fractional order differential equations
- Some existence and uniqueness results for nonlinear fractional partial differential equations
- Solution of fractional integro-differential equations by using fractional differential transform method
- Adomian decomposition: a tool for solving a system of fractional differential equations
- Application of generalized differential transform method to multi-order fractional differential equations
- 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
- A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative
- On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations
- A new numerical algorithm for fractional Fitzhugh-Nagumo equation arising in transmission of nerve impulses
- On the existence of solutions for some infinite coefficient-symmetric Caputo-fabrizio fractional integro-differential equations
- Existence and numerical solutions of a coupled system of integral BVP for fractional differential equations
- Positive solutions for multipoint boundary value problems for singular fractional differential equations
- Homotopy perturbation method for solving boundary value problems
- Terminal value problem for implicit Katugampola fractional differential equations in \(b\)-metric spaces
- Uniqueness of solution for higher-order nonlinear fractional differential equations with multi-point and integral boundary conditions
- Analysis of the model of HIV-1 infection of \(CD4^+\) T-cell with a new approach of fractional derivative
- On fractional integro-differential inclusions via the extended fractional Caputo-Fabrizio derivation
- A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative
- A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions
- Qualitative analysis of nonlinear coupled pantograph differential equations of fractional order with integral boundary conditions
- Some results for initial value problem of nonlinear fractional equation in Sobolev space
- New results on existence in the framework of Atangana-Baleanu derivative for fractional integro-differential equations
- Existence of solution for fractional neutral hybrid differential equations with finite delay
- An admissible hybrid contraction with an Ulam type stability
- Approximate controllability of fractional nonlinear hybrid differential systems via resolvent operators
- Solutions of the nonlinear integral equation and fractional differential equation using the technique of a fixed point with a numerical experiment in extended \(b\)-metric space
- Solutions of integral and integro-differential equation systems by using differential transform method
- Fractional order differential switched systems with coupled nonlocal initial and impulsive conditions
- Loss of positivity in a nonlinear scalar heat equation
- Controllability of impulsive fractional functional integro-differential equations in Banach spaces
- A generalized differential transform method for linear partial differential equations of fractional order
- An analytical survey on the solutions of the generalized double-order \(\varphi\)-integrodifferential equation
- Existence result for a neutral fractional integro-di erential equation with state dependent delay
- Existence and Ulam stability results for nonlinear hybrid implicit Caputo fractional differential equations
- On a coupled Caputo conformable system of pantograph problems
- Iterative scheme for a coupled system of fractional‐order differential equations with three‐point boundary conditions
- Investigating a Class of Nonlinear Fractional Differential Equations and Its Hyers-Ulam Stability by Means of Topological Degree Theory
- On the Stability of the Linear Functional Equation
- Fixed point results on \(\Delta\)-symmetric quasi-metric space via simulation function with an application to Ulam stability
This page was built for publication: Approximate solutions and Hyers-Ulam stability for a system of the coupled fractional thermostat control model via the generalized differential transform