Solving Initial|Boundary Value Problems for Local Fractional ...

[PDF] Novel solution methods for initial boundary value problems of ...

In this work, we develop a formulation for the approximate-analytical solution of fractional partial differential equations (PDEs) by using ...

Solving an inverse source problem for a time fractional diffusion ...

In this paper, we propose a modified quasi-boundary value method to solve an inverse source problem for a time fractional diffusion equation. Under some ...

Approximate solution of non-local boundary value problems for a ...

Nonlocal boundary value problems for the loaded hyperbolic type equation with two fractional differentiation operators are studied.

Analytical Investigation of the Boundary Value Problems for the ...

a local definition of fractional derivative known as a ... and cosine transforms are used to solve space fractional heat equations.

On Positive Solution for a Non-Local Fractional Boundary Value ...

Keywords: Fractional boundary value problem, Positivity of solution, Fixed point theorem, Upper and lower solutions. Mathematics Subject ...

Positive Solutions for Fractional Differential Equations with Multi ...

In this paper, a fractional multi-point boundary value problem is considered. By using the fixed point index theory and Krein-Rutman theorem, some results on ...

Analysis of Boundary value problem with multi-point conditions ...

We study the boundary value problems (BVPs) of the Caputo-Hadamard type fractional differential equations (FDEs) supplemented by multi-point conditions.

Delft University of Technology Non-local fractional boundary value ...

Non-local fractional boundary value problems with applications to ... that converges to the exact solution of the non-local problem for particular.

Some results for two classes of two-point local fractional proportional ...

ρ1. aD ρ2 . Lemma 3.3. The linear boundary value problem (12) has the unique solution represented by the integral equation y(t) ...

Non-local boundary value problem for a mixed-type equation ... - arXiv

Moreover, we construct the solution of the ordinary fractional differential equation with the right-sided bi-ordinal Hilfer derivative by the ...

boundary value problems for differential equations with fractional order

if and only if y is a solution of the initial value problem for the fractional differential equation. cDαy(t) = h(t), t ∈ [0,T],. (4) y(0) = y0. (5). As a ...

(PDF) Fractal Boundary Value Problems for Integral and Differential ...

Related papers · Local Fractional Laplace Decomposition Method for Solving Linear Partial Differential Equations with Local Fractional Derivative · ADOMIAN ...

Fractional variational iteration method for fractional initial-boundary ...

... equations in these and other applications is their non-local ... Lagrange multiplier and fractional order initial and boundary conditions in the FDEs problems.

Fractal boundary value problems for integral and differential ...

For these reasons, based on the local fractional operators, the local fractional decomposition method to solve local fractional equations has been applied.

Elementary Differential Equations and Boundary Value Problems ...

... solving many differential equations is the desire to learn some ... local maximum point of the solution for t > 0. 28. Consider the ...

Existence and Uniqueness of Solution to Two-Point Boundary Value ...

Therefore, we cannot impose initial and boundary conditions, such as on problems involving the Riemann-Liouville fractional derivative or . We find that Caputo ...

Multi-term fractional differential equations with nonlocal boundary ...

We introduce and study a new kind of nonlocal boundary value problems of multi-term fractional differential equations. The existence and uniqueness results ...

Numerical solution of fractional integro-differential equations with ...

Numerical solution of fractional linear integro-differential equations with non-local boundary conditions is considered.

BOUNDARY VALUE PROBLEMS FOR FRACTIONAL ORDER ...

We also study exact solutions of some local FDEs, we use different mathematical methods for differ- ent local fractional (LF) problems. In this work, we ...

M. K. Beshtokov, “Difference methods for solving non-local boundary ...

Abstract: This paper deals with the to boundary value problems for pseudoparabolic equations of fractional order with the Bessel operator with variable ...