[图书][B] Discrete fractional calculus
C Goodrich, AC Peterson - 2015 - Springer
The continuous fractional calculus has a long history within the broad area of mathematical
analysis. Indeed, it is nearly as old as the familiar integer-order calculus. Since its inception …
analysis. Indeed, it is nearly as old as the familiar integer-order calculus. Since its inception …
On discrete sequential fractional boundary value problems
CS Goodrich - Journal of Mathematical Analysis and Applications, 2012 - Elsevier
In this paper, we analyze several different types of discrete sequential fractional boundary
value problems. Our prototype equation is− Δ μ 1 Δ μ 2 Δ μ 3 y (t)= f (t+ μ 1+ μ 2+ μ 3− 1, y (t+ …
value problems. Our prototype equation is− Δ μ 1 Δ μ 2 Δ μ 3 y (t)= f (t+ μ 1+ μ 2+ μ 3− 1, y (t+ …
Existence of a positive solution to a system of discrete fractional boundary value problems
CS Goodrich - Applied Mathematics and Computation, 2011 - Elsevier
We analyze a system of discrete fractional difference equations subject to nonlocal
boundary conditions. We consider the system of equations given by [Formula: see text], for …
boundary conditions. We consider the system of equations given by [Formula: see text], for …
On a discrete fractional three-point boundary value problem
CS Goodrich - Journal of Difference Equations and Applications, 2012 - Taylor & Francis
In this paper, we analyse a ν-th order,, discrete fractional three-point boundary value
problem (BVP). We show that Green's function associated to this problem satisfies certain …
problem (BVP). We show that Green's function associated to this problem satisfies certain …
Positive solutions for nonlinear three-point boundary value problems on time scales
HR Sun, WT Li - Journal of Mathematical Analysis and Applications, 2004 - Elsevier
Let T be a time scale such that 0, T∈ T. Consider the following three-point boundary value
problem on time scales: where β, γ⩾ 0, β+ γ> 0, η∈(0, ρ (T)), 0< α 0. By using fixed point …
problem on time scales: where β, γ⩾ 0, β+ γ> 0, η∈(0, ρ (T)), 0< α 0. By using fixed point …
Existence theory for positive solutions to one-dimensional p-Laplacian boundary value problems on time scales
HR Sun, WT Li - Journal of Differential Equations, 2007 - Elsevier
In this paper we consider the one-dimensional p-Laplacian boundary value problem on time
scales where φp (u) is p-Laplacian operator, ie, φp (u)=| u| p− 2u, p> 1. Some new results …
scales where φp (u) is p-Laplacian operator, ie, φp (u)=| u| p− 2u, p> 1. Some new results …
[HTML][HTML] Double positive solutions of three-point boundary value problems for p-Laplacian dynamic equations on time scales
Z He - Journal of Computational and Applied Mathematics, 2005 - Elsevier
Double positive solutions of three-point boundary value problems for p-Laplacian dynamic
equations on time scales - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals …
equations on time scales - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals …
Existence of Solutions for a One Dimensional p-Laplacian on Time-Scales
Existence of Solutions for a One Dimensional <italic>p</italic>-Laplacian on Time-Scales Page 1
Existence of Solutions for a One Dimensional p-Laplacian on Time-Scales DOUGLAS …
Existence of Solutions for a One Dimensional p-Laplacian on Time-Scales DOUGLAS …
[PDF][PDF] Positive solutions of a three-point boundary-value problem on a time scale.
ER Kaufmann - Electronic Journal of Differential Equations (EJDE) …, 2003 - eudml.org
Let T be at ime scale such that 0, T∈ T. We consider the second order dynamic equation on
at ime scale u∆∇(t)+ a (t) f (u (t))= 0, t∈(0, T)∩ T, u (0)= 0, αu (η)= u (T), where η∈(0, ρ …
at ime scale u∆∇(t)+ a (t) f (u (t))= 0, t∈(0, T)∩ T, u (0)= 0, αu (η)= u (T), where η∈(0, ρ …
On first order impulsive dynamic equations on time scales
Full article: On First Order Impulsive Dynamic Equations on Time Scales Skip to Main Content
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