Search engine for discovering works of Art, research articles, and books related to Art and Culture
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
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...
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...
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...
Series Solution Method Used to Solve Linear Caputo Fractional Initial Value Problems with Variable Coefficients
Series Solution Method Used to Solve Linear Caputo Fractional Initial Value Problems with Variable Coefficients
Computing the solution of the linear Caputo fractional differential equation with variable coefficients cannot be obtained in closed form as in the integer-order case. However, to ...
Type 2 Interval Valued Caputo Fractional Differential Equations
Type 2 Interval Valued Caputo Fractional Differential Equations
This paper introduces the Caputo fractional differential equation for interval valued functions. A fractional differential equation incorporates memory sense through an iterated ke...
An iterative programmable framework to decouple time fractional responses in Stokes-type boundary layer flows
An iterative programmable framework to decouple time fractional responses in Stokes-type boundary layer flows
This study proposes a unified analytical methodology for systematically solving and interpreting k-linearly coupled diffusion-reaction fractional systems arising in Stokes-type bou...