Approximate solutions for a fractional thermostat model boundary value problem via Bernstein's collocation method with Legendre polynomials

Fractional derivatives and integrals (26A33) Numerical methods for initial value problems involving ordinary differential equations (65L05) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Positive solutions of a fractional thermostat model
Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
The Bernstein polynomial basis: a centennial retrospective
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
Multi-order fractional differential equations and their numerical solution
Bernstein operational matrix of fractional derivatives and its applications
A novel modeling of boundary value problems on the glucose graph
An analysis on the positive solutions for a fractional configuration of the Caputo multiterm semilinear differential equation
A mathematical analysis of a system of Caputo-Fabrizio fractional differential equations for the anthrax disease model in animals
A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions
Novel hyperbolic and exponential ansatz methods to the fractional fifth-order Korteweg-de Vries equations
An approximate analytical view of physical and biological models in the setting of Caputo operator via Elzaki transform decomposition method
On a generalized fractional boundary value problem based on the thermostat model and its numerical solutions via Bernstein polynomials
Existence and approximation of solutions to nonlinear hybrid ordinary differential equations
Loss of positivity in a nonlinear scalar heat equation
Algorithms for the fractional calculus: a selection of numerical methods
An analytical survey on the solutions of the generalized double-order \(\varphi\)-integrodifferential equation
The Legendre wavelets operational matrix of integration
A NOVEL COLLECTIVE ALGORITHM USING CUBIC UNIFORM SPLINE AND FINITE DIFFERENCE APPROACHES TO SOLVING FRACTIONAL DIFFUSION SINGULAR WAVE MODEL THROUGH DAMPING-REACTION FORCES
SEMI-ANALYTICAL VIEW OF TIME-FRACTIONAL PDES WITH PROPORTIONAL DELAYS PERTAINING TO INDEX AND MITTAG-LEFFLER MEMORY INTERACTING WITH HYBRID TRANSFORMS