Existence of solutions for integral boundary value problems of singular Hadamard-type fractional differential equations on infinite interval

Existence of solutions for integral boundary value problems of singular Hadamard-type fractional differential equations on infinite interval

Abstract We consider the existence of solutions for the following Hadamard-type fractional differential equations: { D α H u ( t ) + q ( t ) f ( t , u ( t ) , H D β 1 u ( t ) , H D β 2 u ( t ) ) = 0 , 1 < t < + ∞ , u ( 1 ) = 0 , D α − 2 H u ( 1 ) = ∫ 1 + ∞ g 1 ( s ) u ( s ) d s s , D α − 1 H u...

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Bibliographic Details
Main Authors: Weiwei Liu, Lishan Liu, Yonghong Wu
Format: Article
Language:English
Published: SpringerOpen 2020-06-01
Series:Advances in Difference Equations
Subjects:
Hadamard-type fractional differential equation
Carathéodory condition
Infinite interval
Fixed point theory
Online Access:http://link.springer.com/article/10.1186/s13662-020-02726-6

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http://link.springer.com/article/10.1186/s13662-020-02726-6

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