Solution approximation of fractional boundary value problems and ...

Addressing the boundary value problems of fractional-order differential equations hold significant importance due to their applications in various fields.

The aim of this paper was to approximate solutions for a class of boundary value problems involving Caputo fractional-order differential equations employing the ...

(PDF) Solution approximation of fractional boundary value problems ...

Addressing the boundary value problems of fractional-order differential equations hold significant importance due to their applications in ...

Approximate Solutions to Fractional Boundary Value Problems by ...

For the case of linear FPDE, we separate variables to obtain auxiliary FODE that we solve using the proposed scheme. We apply the methodology to ...

Full article: Parameter-dependent fractional boundary value problems

A sequence of approximate solutions is constructed using the numerical-analytic technique and its monotonicity behaviour is analysed. In ...

Approximate Solutions for Fractional Boundary Value Problems via ...

The CAS Picard methods has been used to approximate the solutions of non-linear fractional differential equations [24]. Other applications of ...

Approximate Solutions for Fractional Boundary Value Problems via ...

In this study, we present a novel numerical scheme for the approximate solutions of linear as well as non-linear ordinary differential equations of ...

Existence of an approximate solution for a class of fractional multi ...

In this paper, we consider a class of fractional boundary value problems with the derivative term and nonlinear operator term.

Approximate solution for a 2-D fractional differential equation with ...

We study a boundary value problem for a 2-D fractional differential equation (FDE) with random noise. This problem is not well-posed.

Fractional boundary value problems: Analysis and numerical methods

In this paper we consider nonlinear boundary value problems for differential equations of fractional order α, 0 < α < 1. We study the existence and ...

An accurate approximation method for solving fractional order ...

The discussion about the existence and uniqueness of the solution of fractional two-point boundary value problems can be found in [2], [36], [23] ...

Numerical solution of fractional boundary value problem with caputo ...

In this article, we investigate the existence and uniqueness of the solution of a fractional boundary value problem with conformable fractional derivation ...

Numerical Solution of Nonlinear Fractional Boundary Value ...

In [5] spline approximations for solving linear fractional boundary value problems have been used. The purpose of the current contribution is to extend the ...

Algorithm for Approximate Solving of a Nonlinear Boundary Value ...

An appropriate integral fractional operator for the nonlinear problem is constructed and it is used to define the mild solutions, upper mild ...

Approximate analytical solutions of nonlocal fractional boundary ...

It should be noted that most of the published papers are devoted to the numerical solutions of initial value problems, while very little work has been done on ...

A new approach to approximate solutions for a class of nonlinear ...

... boundary value problems of nonlinear multi-term fractional differential equations and propose a new method to obtain their approximate solutions

Existence and uniqueness of well-posed fractional boundary value ...

An explanation of the issue A fractional differential equation and boundary conditions that specify how the solution should behave at the ...

Toward the Approximate Solution for Fractional Order Nonlinear ...

The main aim of this paper is to approximate solution for the problem under two different types of boundary conditions, -point nonlocal boundary ...

Approximate Solutions for Fractional Boundary Value Problems via ...

In this study, we present a novel numerical scheme for the approximate solutions of linear as well as non-linear ordinary differential equations of fractional ...

A New Iterative Method for the Numerical Solution of High-Order ...

The application of boundary value problems (BVPs) can be found in different fields of pure and applied sciences; for instance, the narrow ...