๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Nonlocal and multiple-point boundary value problem for fractional differential equations

โœ Scribed by Wenyong Zhong; Wei Lin

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
478 KB
Volume
59
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

โœฆ Synopsis

In the light of the fixed point theorems, we analytically establish the conditions for the uniqueness of solutions as well as the existence of at least one solution in the nonlocal boundary value problem for a specific kind of nonlinear fractional differential equation. Furthermore, we provide a representative example to illustrate a possible application of the established analytical results.

๐Ÿ“œ SIMILAR VOLUMES

Existence and uniqueness of solutions of
Existence and uniqueness of solutions of -point nonlocal boundary value problems for ordinary differential equations
โœ Johnny Henderson ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 253 KB

Sufficient conditions are given under which the existence of solutions of 4-point nonlocal boundary value problems, for nth order nonlinear ordinary differential equations, yields the existence of unique solutions of (k + 2)-point boundary value problems, for 1 โ‰ค k โ‰ค n -1. The results are motivated

Existence and uniqueness of solutions fo
Existence and uniqueness of solutions for multi-point boundary value problems for fractional differential equations
โœ Mujeeb ur Rehman; Rahmat Ali Khan ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 283 KB

In this work, we investigate existence and uniqueness of solutions for a class of nonlinear multi-point boundary value problems for fractional differential equations. Our analysis relies on the Schauder fixed point theorem and the Banach contraction principle.

Multiple positive solutions of multi-poi
Multiple positive solutions of multi-point boundary value problem for second-order impulsive differential equations
โœ Feng Meiqiang; Xie Dongxiu ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 562 KB

This paper is devoted to study the existence of multiple positive solutions for the second-order multi-point boundary value problem with impulse effects. The arguments are based upon fixed-point theorems in a cone. An example is worked out to demonstrate the main results.