On a generalized fractional boundary value problem based on the thermostat model and its numerical solutions via Bernstein polynomials
From MaRDI portal
Publication:2167232
DOI10.1186/s13662-021-03610-7zbMath1494.34029OpenAlexW3207391080MaRDI QIDQ2167232
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/s13662-021-03610-7
Theoretical approximation of solutions to ordinary differential equations (34A45) Fractional derivatives and integrals (26A33) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)
Related Items
Qualitative analysis of a hyperchaotic Lorenz-Stenflo mathematical model via the Caputo fractional operator, Existence study of semilinear fractional differential equations and inclusions for multi–term problem under Riemann–Liouville operators, On the study of the positive solutions of a BVP under \(\psi\)-Riemann-Liouville fractional derivative via upper and lower solution method, Approximate solutions for a fractional thermostat model boundary value problem via Bernstein's collocation method with Legendre polynomials
Cites Work
- Unnamed Item
- Unnamed Item
- Numerical solutions of fractional Riccati type differential equations by means of the Bernstein polynomials
- Positive solutions of a fractional thermostat model
- Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
- The Bernstein polynomial basis: a centennial retrospective
- Bernstein series solution of a class of Lane-Emden type equations
- On the existence of solutions for fractional differential inclusions with sum and integral boundary conditions
- Fixed-point results for multi-valued operators in quasi-ordered metric spaces
- Faedo-Galerkin approximation of solution for a nonlocal neutral fractional differential equation with deviating argument
- A new operational matrix for solving fractional-order differential equations
- Boundary value problem for a coupled system of nonlinear fractional differential equations
- The dual basis functions for the Bernstein polynomials
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations
- A fixed point theorem and the Ulam stability in generalized dq-metric spaces
- Fixed-point theorems for integral-type contractions on partial metric spaces
- Bernstein operational matrix of fractional derivatives and its applications
- An analysis on the positive solutions for a fractional configuration of the Caputo multiterm semilinear differential equation
- Uniqueness of solution for higher-order nonlinear fractional differential equations with multi-point and integral boundary conditions
- Impulsive Caputo-Fabrizio fractional differential equations in \(b\)-metric spaces
- 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 mathematical model for COVID-19 transmission by using the Caputo fractional derivative
- A mathematical analysis of a system of Caputo-Fabrizio fractional differential equations for the anthrax disease model in animals
- On the existence of solutions for a multi-singular pointwise defined fractional \(q\)-integro-differential equation
- A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions
- Investigation of the \(p\)-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives
- An admissible hybrid contraction with an Ulam type stability
- Existence and approximation of solutions to nonlinear hybrid ordinary differential equations
- Approximating solutions of nonlinear hybrid differential equations
- Loss of positivity in a nonlinear scalar heat equation
- Algorithms for the fractional calculus: a selection of numerical methods
- Existence and approximation of solutions to nonlocal boundary value problems for fractional differential inclusions
- An analytical survey on the solutions of the generalized double-order \(\varphi\)-integrodifferential equation
- The Legendre wavelets operational matrix of integration
- Operational matrices of Bernstein polynomials and their applications
- Existence theory for fractional-order neutral boundary value problems
- Existence and Hyers‐Ulam stability of fractional nonlinear impulsive switched coupled evolution equations
- Analysis of q‐fractional implicit boundary value problems having Stieltjes integral conditions
- On a coupled Caputo conformable system of pantograph problems
- Fixed point theorems in partial metric spaces with an application
- Fixed point results on \(\Delta\)-symmetric quasi-metric space via simulation function with an application to Ulam stability