Javascript must be enabled to continue!
Numerical Results for Linear Sequential Caputo Fractional Boundary Value Problems
View through CrossRef
The generalized monotone iterative technique for sequential 2 q order Caputo fractional boundary value problems, which is sequential of order q, with mixed boundary conditions have been developed in our earlier paper. We used Green’s function representation form to obtain the linear iterates as well as the existence of the solution of the nonlinear problem. In this work, the numerical simulations for a linear nonhomogeneous sequential Caputo fractional boundary value problem for a few specific nonhomogeneous terms with mixed boundary conditions have been developed. This in turn will be used as a tool to develop the accurate numerical code for the linear nonhomogeneous sequential Caputo fractional boundary value problem for any nonhomogeneous terms with mixed boundary conditions. This numerical result will be essential to solving a nonlinear sequential boundary value problem, which arises from applications of the generalized monotone method.
Title: Numerical Results for Linear Sequential Caputo Fractional Boundary Value Problems
Description:
The generalized monotone iterative technique for sequential 2 q order Caputo fractional boundary value problems, which is sequential of order q, with mixed boundary conditions have been developed in our earlier paper.
We used Green’s function representation form to obtain the linear iterates as well as the existence of the solution of the nonlinear problem.
In this work, the numerical simulations for a linear nonhomogeneous sequential Caputo fractional boundary value problem for a few specific nonhomogeneous terms with mixed boundary conditions have been developed.
This in turn will be used as a tool to develop the accurate numerical code for the linear nonhomogeneous sequential Caputo fractional boundary value problem for any nonhomogeneous terms with mixed boundary conditions.
This numerical result will be essential to solving a nonlinear sequential boundary value problem, which arises from applications of the generalized monotone method.
Related Results
Analysis of Sequential Caputo Fractional Differential Equations versus Non-Sequential Caputo Fractional Differential Equations with Applications
Analysis of Sequential Caputo Fractional Differential Equations versus Non-Sequential Caputo Fractional Differential Equations with Applications
It is known that, from a modeling point of view, fractional dynamic equations are more suitable compared to integer derivative models. In fact, a fractional dynamic equation is ref...
Solving Undamped and Damped Fractional Oscillators via Integral Rohit Transform
Solving Undamped and Damped Fractional Oscillators via Integral Rohit Transform
Background: The dynamics of fractional oscillators are generally described by fractional differential equations, which include the fractional derivative of the Caputo or Riemann-Li...
Series Solution Method for Solving Sequential Caputo Fractional Differential Equations
Series Solution Method for Solving Sequential Caputo Fractional Differential Equations
Computing the solution of the Caputo fractional differential equation plays an important role in using the order of the fractional derivative as a parameter to enhance the model. I...
Solution of Nonhomogeneous Linear System of Caputo Fractional Differential Equations with Initial Conditions
Solution of Nonhomogeneous Linear System of Caputo Fractional Differential Equations with Initial Conditions
The solution of a nonhomogeneous linear Caputo fractional differential equation of order nq,(n−1)<nq<n with Caputo fractional initial conditions can be expressed using suitab...
On α-Fractional Bregman Divergence to study α-Fractional Minty’s Lemma
On α-Fractional Bregman Divergence to study α-Fractional Minty’s Lemma
In this paper fractional variational inequality problems (FVIP) and dual fractional variational inequality problems (DFVIP), Fractional minimization problems are defined with the h...
Solution of Linear Caputo Fractional Differential Equations with Fractional Initial Conditions
Solution of Linear Caputo Fractional Differential Equations with Fractional Initial Conditions
The computation of solutions of Caputo fractional differential equations is paramount in modeling to establish its benefits over the corresponding integer order models. In the lite...
A Comparative Study of Caputo and Caputo-Fabrizio Models for Measles Dynamics Using AB2 and AB3 Numerical Schemes
A Comparative Study of Caputo and Caputo-Fabrizio Models for Measles Dynamics Using AB2 and AB3 Numerical Schemes
Fractional-order differential equations have gained increasing attention in epidemiological modeling due to their ability to incorporate memory and hereditary effects. In this pape...
On applications of Caputo k-fractional derivatives
On applications of Caputo k-fractional derivatives
Abstract
This research explores Caputo k-fractional integral inequalities for functions whose nth order derivatives are absolutely continuous and possess Grüss type v...

