Solvability of a class of higher-order fractional two-point boundary value problem (Q463270)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Solvability of a class of higher-order fractional two-point boundary value problem |
scientific article; zbMATH DE number 6356675
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solvability of a class of higher-order fractional two-point boundary value problem |
scientific article; zbMATH DE number 6356675 |
Statements
Solvability of a class of higher-order fractional two-point boundary value problem (English)
0 references
16 October 2014
0 references
Summary: This paper investigates the solvability of a class of higher-order fractional two-point boundary value problem (BVP), and presents several new results. First, Green's function of the considered BVP is obtained by using the property of Caputo derivative. Second, based on Schaefer's fixed point theorem, the solvability of the considered BVP is studied, and a sufficient condition is presented for the existence of at least one solution. Finally, an illustrative example is given to support the obtained new results.
0 references
Green's function
0 references
Caputo derivative
0 references
Schaefer's fixed point theorem
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0.9588586
0 references
0.92800224
0 references
0.92395735
0 references
0.9228057
0 references
0.92264885
0 references
